## Continuum Mechanics and Thermodynamics

### Analysis of Complex Materials and Judicious Evaluation of the Environment

 Short Title: Contin. Mech. Thermodyn. Publisher: Springer, Berlin/Heidelberg ISSN: 0935-1175; 1432-0959/e Online: http://link.springer.com/journal/volumesAndIssues/161
 Documents Indexed: 1,021 Publications (since 1989) References Indexed: 774 Publications with 27,275 References.
all top 5

### Latest Issues

 32, No. 4 (2020) 32, No. 3 (2020) 32, No. 1 (2020) 31, No. 4 (2019) 31, No. 3 (2019) 31, No. 2 (2019) 31, No. 1 (2019) 30, No. 6 (2018) 30, No. 5 (2018) 30, No. 4 (2018) 30, No. 3 (2018) 30, No. 2 (2018) 30, No. 1 (2018) 29, No. 6 (2017) 29, No. 5 (2017) 29, No. 4 (2017) 29, No. 3 (2017) 29, No. 2 (2017) 29, No. 1 (2017) 28, No. 6 (2016) 28, No. 5 (2016) 28, No. 4 (2016) 28, No. 3 (2016) 28, No. 1-2 (2016) 27, No. 6 (2015) 27, No. 4-5 (2015) 27, No. 3 (2015) 27, No. 1-2 (2015) 26, No. 6 (2014) 26, No. 5 (2014) 26, No. 4 (2014) 26, No. 3 (2014) 26, No. 2 (2014) 26, No. 1 (2014) 25, No. 6 (2013) 25, No. 5 (2013) 25, No. 2-4 (2013) 25, No. 1 (2013) 24, No. 4-6 (2012) 24, No. 3 (2012) 24, No. 2 (2012) 24, No. 1 (2012) 23, No. 6 (2011) 23, No. 5 (2011) 23, No. 4 (2011) 23, No. 3 (2011) 23, No. 2 (2011) 23, No. 1 (2011) 22, No. 6-8 (2010) 22, No. 5 (2010) 22, No. 4 (2010) 22, No. 3 (2010) 22, No. 2 (2010) 22, No. 1 (2010) 21, No. 6 (2009) 21, No. 5 (2009) 21, No. 4 (2009) 21, No. 3 (2009) 21, No. 2 (2009) 21, No. 1 (2009) 20, No. 8 (2009) 20, No. 7 (2009) 20, No. 6 (2008) 20, No. 5 (2008) 20, No. 4 (2008) 20, No. 3 (2008) 20, No. 2 (2008) 20, No. 1 (2008) 19, No. 8 (2008) 19, No. 7 (2008) 19, No. 6 (2007) 19, No. 5 (2007) 19, No. 3-4 (2007) 19, No. 1-2 (2007) 18, No. 7-8 (2007) 18, No. 6 (2007) 18, No. 5 (2006) 18, No. 3-4 (2006) 18, No. 1-2 (2006) 17, No. 8 (2006) 17, No. 7 (2006) 17, No. 6 (2006) 17, No. 5 (2006) 17, No. 4 (2005) 17, No. 3 (2005) 17, No. 2 (2005) 17, No. 1 (2005) 16, No. 6 (2004) 16, No. 5 (2004) 16, No. 4 (2004) 16, No. 3 (2004) 16, No. 1-2 (2004) 15, No. 6 (2003) 15, No. 5 (2003) 15, No. 4 (2003) 15, No. 3 (2003) 15, No. 2 (2003) 15, No. 1 (2003) 14, No. 6 (2002) 14, No. 5 (2002) ...and 66 more Volumes
all top 5

### Authors

 30 Hutter, Kolumban 22 Müller, Wolfgang H. 18 Kremer, Gilberto Medeiros 15 Ruggeri, Tommaso 14 Truskinovsky, Lev 12 Struchtrup, Henning 11 Dreyer, Wolfgang 11 Virga, Epifanio G. 10 Müller, Ingo 9 Atanackovic, Teodor M. 9 Lorenzini, Giulio 9 Öchsner, Andreas 9 Reddy, Junuthula Narasimha 9 Svendsen, Bob 8 Drozdov, Aleksey D. 8 Hackl, Klaus 8 Morland, Leslie W. 8 Surana, Karan S. 8 Wang, Yongqi 7 dell’Isola, Francesco 7 Fang, Chung 7 Hill, Antony A. 7 Marigo, Jean-Jacques 7 Marin, Marin I. 7 Marques, Wilson jun. 7 Neff, Patrizio 7 Roubíček, Tomáš 7 Schiavone, Peter 7 Tsakmakis, Ch. 7 Vainchtein, Anna 7 Wille, Ralf 6 Barretta, Raffaele 6 Berdichevskiĭ, Viktor L’vovich 6 Fried, Eliot 6 Gouin, Henri 6 Guidugli, Paolo Podio 6 Ibrahim, Sheikh Muhammad 6 Ivanova, Elena A. 6 Lion, Alexander 6 Osinov, Vladimir A. 6 Pennisi, Sebastiano 6 Placidi, Luca 6 Reich, Felix A. 6 Romano, Vittorio 6 Rosso, Riccardo 6 Seelecke, Stefan 6 Šilhavý, Miroslav 6 Stewart, Iain W. 6 Ván, Peter 5 Alber, Hans-Dieter 5 Alexandrov, Sergei Yu. 5 Andreaus, Ugo A. 5 Berezin, Yuri A. 5 Diaco, Marina 5 Faria, Sérgio H. 5 Johlitz, Michael 5 Lorenzini, Enrico C. 5 Madeo, Angela 5 Misra, Anil 5 Piccardo, Giuseppe 5 Raju, C. S. K. 5 Rionero, Salvatore 5 Romano, Giovanni P. 5 Stefanelli, Ulisse 5 Steinmann, Paul 5 Sugiyama, Masaru 5 Villaggio, Piero 5 Weiss, Wolf 4 Altenbach, Holm 4 Barbera, Elvira 4 Berezovski, Arkadi 4 Boillat, Guy 4 Brini, Francesca 4 Cardin, Franco 4 Cliffe, K. Andrew 4 Conti, Sergio 4 D’Annibale, Francesco 4 Del Piero, Gianpietro 4 Eremeyev, Victor A. 4 Ferdjani, Hichème 4 Fosdick, Roger L. 4 Giorgio, Ivan 4 Grillo, Alfio 4 Hild, François 4 Hütter, Markus 4 Jeng, Yeau-Ren 4 Junker, Philipp 4 Kamlah, Marc 4 Luongo, Angelo 4 Mascali, Giovanni 4 Meleshko, Sergey V. 4 Morro, Angelo 4 Movchan, Alexander B. 4 Mulone, Giuseppe 4 Nuñez, Daniel E. 4 Ostoja-Starzewski, Martin 4 Puglisi, Giuseppe 4 Rajagopal, Kumbakonam Ramamani 4 Reinecke, Suzana 4 Saccomandi, Giuseppe ...and 1,110 more Authors
all top 5

### Fields

 619 Mechanics of deformable solids (74-XX) 342 Fluid mechanics (76-XX) 213 Classical thermodynamics, heat transfer (80-XX) 194 Statistical mechanics, structure of matter (82-XX) 77 Partial differential equations (35-XX) 34 Optics, electromagnetic theory (78-XX) 28 Geophysics (86-XX) 28 Biology and other natural sciences (92-XX) 23 Numerical analysis (65-XX) 13 History and biography (01-XX) 12 Mechanics of particles and systems (70-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Relativity and gravitational theory (83-XX) 9 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 5 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

747 Publications have been cited 5,549 times in 3,872 Documents Cited by Year
Mathematical modeling of electrorheological materials. Zbl 0971.76100
Rajagopal, K. R.; Růžička, M.
2001
The relaxation of a double-well energy. Zbl 0825.73029
Kohn, Robert V.
1991
A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium. Zbl 0893.73006
Pideri, C.; Seppecher, P.
1997
Energetic formulation of multiplicative elasto-plasticity using dissipation distances. Zbl 1068.74522
Mielke, A.
2003
Ferroelectric and ferroelastic piezoceramics – modeling of electromechanical hysteresis phenomena. Zbl 1049.74021
Kamlah, M.
2001
Asymptotic expansions by $$\Gamma$$-convergence. Zbl 1160.74363
Braides, Andrea; Truskinovsky, Lev
2008
A hyperbolic model for viscous Newtonian flows. Zbl 1348.76046
Peshkov, Ilya; Romenski, Evgeniy
2016
A unifying perspective: the relaxed linear micromorphic continuum. Zbl 1341.74135
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Madeo, Angela
2014
Mathematical analysis of a two-phase continuum mixture theory. Zbl 0760.76096
Embid, P.; Baer, M.
1992
Comparison of the geometrically nonlinear and linear theories of martensitic transformation. Zbl 0780.73005
Bhattacharya, K.
1993
On flows of granular materials. Zbl 0804.73003
Hutter, K.; Rajagopal, K. R.
1994
Local existence for Frémond’s model of damage in elastic materials. Zbl 1066.74048
Bonetti, E.; Schimperna, G.
2004
Galilean invariance and entropy principle for systems of balance laws. Zbl 0759.35039
Ruggeri, T.
1989
Nonequilibrium thermodynamics of pseudoelasticity. Zbl 0780.73006
Huo, Y.; Müller, I.
1993
Extended thermodynamics of dense gases. Zbl 1318.80001
Arima, T.; Taniguchi, S.; Ruggeri, T.; Sugiyama, M.
2012
Non parabolic band transport in semiconductors: closure of the moment equations. Zbl 1080.82584
Anile, Angelo Marcello; Romano, Vittorio
1999
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. Zbl 1341.74085
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G.
2015
Pedestrian flows in bounded domains with obstacles. Zbl 1170.90351
Piccoli, Benedetto; Tosin, Andrea
2009
A variational approach for a nonlinear 1-dimensional second gradient continuum damage model. Zbl 1341.74016
Placidi, Luca
2015
A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus. Zbl 1158.74419
Neff, P.
2004
On the shock structure problem for hyperbolic system of balance laws and convex entropy. Zbl 0922.76237
Boillat, Guy; Ruggeri, Tommaso
1998
A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model. Zbl 1348.74062
Placidi, Luca
2016
Moment equations in the kinetic theory of gases and wave velocities. Zbl 0892.76075
Boillat, Guy; Ruggeri, Tommaso
1997
Non-parabolic band transport in semiconductors: Closure of the production terms in the moment equations. Zbl 0962.82085
Romano, Vittorio
2000
Thermomechanics of the interface between a body and its environment. Zbl 1160.74303
Fried, Eliot; Gurtin, Morton E.
2007
The BGK-model with velocity-dependent collision frequency. Zbl 0891.76079
Struchtrup, Henning
1997
Formulation of thermoelastic dissipative material behavior using GENERIC. Zbl 1272.74137
Mielke, Alexander
2011
On the application of dual variables in continuum mechanics. Zbl 0771.73003
Haupt, P.; Tsakmakis, Ch.
1989
Isogeometric analysis: a powerful numerical tool for the elastic analysis of historical masonry arches. Zbl 1348.74190
Cazzani, Antonio; Malagù, Marcello; Turco, Emilio
2016
Continuum theory of dislocations revisited. Zbl 1160.74309
Berdichevsky, Victor L.
2006
Consistent tangent operator for an exact Kirchhoff rod model. Zbl 1341.74096
Greco, L.; Cuomo, M.
2015
A modified Zener model of a viscoelastic body. Zbl 1032.74015
Atanackovic, Teodor M.
2002
Granular micromechanics based micromorphic model predicts frequency band gaps. Zbl 1348.74271
Misra, Anil; Poorsolhjouy, Payam
2016
From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models. Zbl 1343.74004
Pham, Kim; Marigo, Jean-Jacques
2013
Soft-impact dynamics of deformable bodies. Zbl 1343.74037
Andreaus, Ugo; Chiaia, Bernardino; Placidi, Luca
2013
Nonlinear stability analysis of pre-stressed elastic bodies. Zbl 1066.74541
Fu, Y. B.; Ogden, R. W.
1999
Modeling granular media on the computer. Zbl 0947.74009
Herrmann, H. J.; Luding, S.
1998
Generalized vorticity for bubbly liquid and dispersive shallow water equations. Zbl 1097.76597
Gavrilyuk, S. L.; Teshukov, V. M.
2001
Objectivity in classical continuum physics: A rationale for discarding the ‘principle of invariance under superposed rigid body motions’ in favour of purely objective considerations. Zbl 1068.74515
Murdoch, A. I.
2003
Hypertractions and hyperstresses convey the same mechanical information. Zbl 1257.74003
Podio-Guidugli, Paolo; Vianello, Maurizio
2010
A solid-fluid mixture model allowing for solid dilatation under external pressure. Zbl 1134.74365
Sciarra, Giulio; dell’Isola, Francesco; Hutter, Kolumban
2001
On the nonlinear stability of a fluid layer of a mixture heated and salted from below. Zbl 0809.76034
Mulone, G.
1994
Micromechanical model for viscoelastic materials undergoing damage. Zbl 1343.74039
Misra, Anil; Singh, Viraj
2013
A virtual power format for thermomechanics. Zbl 1234.74022
Podio-Guidugli, Paolo
2009
Initiation and propagation of fracture in the models of Griffith and Barenblatt. Zbl 1066.74007
Marigo, J.-J.; Truskinovsky, L.
2004
Linear $$\Gamma$$-limits of multiwell energies in nonlinear elasticity theory. Zbl 1160.74321
Schmidt, Bernd
2008
Continuum theory for nematic liquid crystals. Zbl 0760.76005
Leslie, F. M.
1992
The evolution of laminates in finite crystal plasticity: a variational approach. Zbl 1272.74081
Kochmann, D. M.; Hackl, K.
2011
Evolving microstructure and homogenization. Zbl 0983.74045
Alber, Hans-Dieter
2000
Quasistatic delamination problem. Zbl 1179.74130
Roubíček, Tomáš; Scardia, Lucia; Zanini, Chiara
2009
On the ellipsoidal statistical model for polyatomic gases. Zbl 1234.76046
Brull, Stéphane; Schneider, Jacques
2009
Maximum entropy moment systems and Galilean invariance. Zbl 1024.76044
Junk, M.; Unterreiter, A.
2002
Extended thermodynamics – consistent in order of magnitude. Zbl 1057.80002
Müller, I.; Reitebuch, D.; Weiss, W.
2003
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
A new approach for the ellipsoidal statistical model. Zbl 1160.76404
Brull, Stéphane; Schneider, Jacques
2008
Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder. Zbl 0893.76090
Payne, L. E.; Song, J. C.
1997
Flow of a generalized second grade non-Newtonian fluid with variable viscosity. Zbl 1158.76304
Massoudi, M.; Phuoc, T. X.
2004
Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics. Zbl 1341.80004
Arima, Takashi; Taniguchi, Shigeru; Ruggeri, Tommaso
2013
Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever. Zbl 1100.74549
James, R. D.
2002
On criticism of the nature of objectivity in classical continuum physics. Zbl 1112.74316
Murdoch, A. I.
2005
An upper bound to the free energy of mixing by twin-compatible lamination for $$n$$-variant martensitic phase transformations. Zbl 1160.74393
Govindjee, S.; Hackl, K.; Heinen, R.
2007
Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054
James, R. D.; Müller, Stefan
1994
About the “normal growth” approximation in the dynamical theory of phase transitions. Zbl 0877.73006
Truskinovsky, L.
1994
On Euclidean objectivity and the principle of material frame-indifference. Zbl 1107.74300
Liu, I-Shih
2004
Nonlinear stability of a convective motion in a porous layer driven by a horizontally periodic temperature gradient. Zbl 1063.76038
Capone, F.; Rionero, S.
2003
Modelling and numerical simulation of martensitic transformation in shape memory alloys. Zbl 1068.74588
Arndt, M.; Griebel, M.; Roubíček, T.
2003
The computation of the dynamics of the martensitic transformation. Zbl 0825.73047
Klouček, P.; Luskin, M.
1994
Mathematical study of boundary-value problems within the framework of Steigmann-Ogden model of surface elasticity. Zbl 1348.35260
Eremeyev, Victor A.; Lebedev, Leonid P.
2016
Towards physically realizable and hyperbolic moment closures for kinetic theory. Zbl 1184.76839
Groth, Clinton P. T.; McDonald, James G.
2009
Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model. Zbl 1341.74048
Misra, Anil; Singh, Viraj
2015
Existence and stability results for thermoelastic dipolar bodies with double porosity. Zbl 1365.74055
Marin, M.; Nicaise, S.
2016
Grad’s distribution functions in the kinetic equations for a chemical reaction. Zbl 0996.76093
Bisi, Marzia; Groppi, Maria; Spiga, Giampiero
2002
Constitutive models for granular materials including quasi-static frictional behaviour: Toward a thermodynamic theory of plasticity. Zbl 0962.74014
Svendsen, B.; Hutter, K.; Laloui, L.
1999
On the thermodynamics of fractional damping elements. Zbl 0914.73013
Lion, Alexander
1997
Further remarks on Euclidean objectivity and the principle of material frame-indifference. Zbl 1108.74315
Liu, I-Shih
2005
The flip side of buckling. Zbl 1160.74360
Grabovsky, Yury; Truskinovsky, Lev
2007
The effect of fluid streams in porous media on acoustic compression wave propagation, transmission, and reflection. Zbl 1343.76068
Madeo, A.; Djeran-Maigre, I.; Rosi, G.; Silvani, C.
2013
The effect of a dipolar structure on the Hölder stability in Green-Naghdi thermoelasticity. Zbl 1392.74010
Marin, Marin; Öchsner, Andreas
2017
Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours. Zbl 1392.74071
Romano, Giovanni; Luciano, Raimondo; Barretta, Raffaele; Diaco, Marina
2018
Necessary and sufficient conditions of global nonlinear stability for rotating double-diffusive convection in a porous medium. Zbl 1040.76024
Lombardo, S.; Mulone, G.
2002
Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Zbl 1272.74324
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2011
Thermodynamics of nonlocal materials: extra fluxes and internal powers. Zbl 1272.74009
Fabrizio, Mauro; Lazzari, Barbara; Nibbi, Roberta
2011
Homogenization of the nonlinear Kelvin-Voigt model of viscoelasticity and of the Prager model of plasticity. Zbl 1160.74331
Visintin, Augusto
2006
A micromechanical model for pretextured polycrystalline shape-memory alloys including elastic anisotropy. Zbl 1170.74315
Hackl, Klaus; Heinen, Rainer
2008
Temperature jump and velocity slip in the moment method. Zbl 0974.76074
Struchtrup, Henning; Weiss, Wolf
2000
Variational formulation of the first principle of continuum thermodynamics. Zbl 1196.80003
Romano, Giovanni; Diaco, Marina; Barretta, Raffaele
2010
Continuum-mechanical, anisotropic flow model for polar ice masses, based on an anisotropic flow enhancement factor. Zbl 1273.74191
Placidi, Luca; Greve, Ralf; Seddik, Hakime; Faria, Sérgio H.
2010
A non-classical Kirchhoff plate model incorporating microstructure, surface energy and foundation effects. Zbl 1348.74213
Gao, X.-L.; Zhang, G. Y.
2016
Finite gradient elasticity and plasticity: a constitutive mechanical framework. Zbl 1341.74030
Bertram, Albrecht
2015
A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams. Zbl 1396.74070
Andreaus, Ugo; Spagnuolo, Mario; Lekszycki, Tomasz; Eugster, Simon R.
2018
Maximum wave velocity in the moments’ system of a relativistic gas. Zbl 0935.76077
Boillat, Guy; Ruggeri, Tommaso
1999
Multi-component convection-diffusion in a porous medium. Zbl 0905.76034
Tracey, John
1996
Boundary value problems in the theory of lipid membranes. Zbl 1234.74035
Agrawal, Ashutosh; Steigmann, David J.
2009
The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity. Zbl 1272.74092
Reddy, B. D.
2011
Hardening rules for finite deformation micropolar plasticity: Restrictions imposed by the second law of thermodynamics and the postulate of Il’yushin. Zbl 1012.74009
Grammenoudis, Paschalis; Tsakmakis, Charalampos
2001
Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity. Zbl 1113.74011
Placidi, Luca; Hutter, Kolumban
2006
A thermo-mechanical continuum theory with internal length for cohesionless granular materials. I: A class of constitutive models. Zbl 1113.74013
Fang, Chung; Wang, Yongqi; Hutter, Kolumban
2006
Couette flow with slip and jump boundary conditions. Zbl 0970.76086
Marques, W. jun.; Kremer, G. M.; Sharipov, F. M.
2000
Extension, inflation and torsion of a residually stressed circular cylindrical tube. Zbl 1348.74052
Merodio, José; Ogden, Ray W.
2016
Closure conditions for non-equilibrium multi-component models. Zbl 1355.76069
Müller, S.; Hantke, M.; Richter, P.
2016
Fractional vector analysis based on invariance requirements (critique of coordinate approaches). Zbl 1443.26004
Šilhavý, M.
2020
On the wave dispersion in microstructured solids. Zbl 1442.74092
Berezovski, Arkadi; Yildizdag, M. Erden; Scerrato, Daria
2020
On the nature of the relaxation time, the Maxwell-Cattaneo and Fourier law in the thermodynamics of a continuous medium, and the scale effects in thermal conductivity. Zbl 1442.74009
Lurie, S. A.; Belov, P. A.
2020
Second-order approximation of extended thermodynamics of a monatomic gas and hyperbolicity region. Zbl 1443.76198
Brini, Francesca; Ruggeri, Tommaso
2020
A mesoscopic model for particle-reinforced composites. Zbl 1442.74016
Khurshudyan, As. Zh.
2020
The evaporation-condensation problem for a binary mixture of rarefied gases. Zbl 1442.76132
Bisi, Marzia; Groppi, Maria; Martalò, Giorgio
2020
Uniqueness of solution for plane deformations of a micropolar elastic solid with surface effects. Zbl 1443.74142
Gharahi, Alireza; Schiavone, Peter
2020
Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source. Zbl 1443.80015
Gavrilov, Serge N.; Krivtsov, Anton M.
2020
On the phase field modeling of crack growth and analytical treatment on the parameters. Zbl 1442.74218
Farrahi, Gholam Hossein; Javanbakht, Mahdi; Jafarzadeh, Hossein
2020
An implicit strong $$\mathrm{G}^1$$-conforming formulation for the analysis of the Kirchhoff plate model. Zbl 1442.74115
Cuomo, M.; Greco, Leopoldo
2020
Complete solutions of three-dimensional problems in transversely isotropic media. Zbl 1442.74049
Marmo, Francesco; Sessa, Salvatore; Vaiana, Nicoló; De Gregorio, Daniela; Rosati, Luciano
2020
Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system. Zbl 1442.70006
Vlase, S.; Marin, M.; Öchsner, A.; Scutaru, M. L.
2019
Monatomic limit of relativistic extended thermodynamics of polyatomic gas. Zbl 1442.76161
Carrisi, Maria Cristina; Pennisi, Sebastiano; Ruggeri, Tommaso
2019
Correction to: “Material description of fluxes in terms of differential forms”. Zbl 1442.74003
Federico, Salvatore; Grillo, Alfio; Segev, Reuven
2019
Homogenization estimates for the effective response of fractional viscoelastic particulate composites. Zbl 1442.74014
Gallican, Valentin; Brenner, Renald
2019
Asymptotic derivation of nonlocal plate models from three-dimensional stress gradient elasticity. Zbl 1442.74116
Hache, Florian; Challamel, Noël; Elishakoff, I.
2019
Mechanics of dislocations and metadislocations in quasicrystals and their approximants: power invariance and balance. Zbl 1442.74021
Mariano, Paolo Maria
2019
Homogenization of elastic materials containing self-similar rigid micro-inclusions. Zbl 1442.74193
El Jarroudi, Mustapha; Er-Riani, Mustapha
2019
Space of 2D elastic materials: a geometric journey. Zbl 1451.74047
Desmorat, Boris; Auffray, Nicole
2019
Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours. Zbl 1392.74071
Romano, Giovanni; Luciano, Raimondo; Barretta, Raffaele; Diaco, Marina
2018
A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams. Zbl 1396.74070
Andreaus, Ugo; Spagnuolo, Mario; Lekszycki, Tomasz; Eugster, Simon R.
2018
General stability of memory-type thermoelastic Timoshenko beam acting on shear force. Zbl 1392.74056
Apalara, Tijani A.
2018
Discrete is it enough? The revival of Piola-Hencky keynotes to analyze three-dimensional Elastica. Zbl 1396.74008
Turco, Emilio
2018
Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations. Zbl 1439.70036
Peshkov, Ilya; Pavelka, Michal; Romenski, Evgeniy; Grmela, Miroslav
2018
Mathematical homogenization of inelastic dissipative materials: a survey and recent progress. Zbl 1392.74078
Charalambakis, Nicolas; Chatzigeorgiou, George; Chemisky, Yves; Meraghni, Fodil
2018
Quasi-brittle damage modeling based on incremental energy relaxation combined with a viscous-type regularization. Zbl 1396.74091
Langenfeld, K.; Junker, P.; Mosler, J.
2018
Generalized heat-transport equations: parabolic and hyperbolic models. Zbl 1439.80007
Rogolino, Patrizia; Kovács, Robert; Ván, Peter; Cimmelli, Vito Antonio
2018
Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis. Zbl 1392.74008
Zeidi, Mahdi; Kim, Chun I. L.
2018
Stochastic many-particle model for LFP electrodes. Zbl 1392.80002
Guhlke, Clemens; Gajewski, Paul; Maurelli, Mario; Friz, Peter K.; Dreyer, Wolfgang
2018
Visualising elastic anisotropy: theoretical background and computational implementation. Zbl 1396.74002
Nordmann, J.; Aßmus, M.; Altenbach, H.
2018
Nonlocal approach to nonequilibrium thermodynamics and nonlocal heat diffusion processes. Zbl 1396.80002
2018
Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics. Zbl 1396.76019
2018
Flexural torsional buckling of uniformly compressed beam-like structures. Zbl 1396.74055
Ferretti, M.
2018
A geometric rationale for invariance, covariance and constitutive relations. Zbl 1392.74007
Romano, Giovanni; Barretta, Raffaele; Diaco, Marina
2018
An investigation into electromagnetic force models: differences in global and local effects demonstrated by selected problems. Zbl 1392.78009
Reich, Felix A.; Rickert, Wilhelm; Müller, Wolfgang H.
2018
An initial boundary value problem for modeling a piezoelectric dipolar body. Zbl 1392.74040
Marin, Marin; Öchsner, Andreas
2018
The reflection of an ionized shock wave. Zbl 1392.76027
Asakura, Fumioki; Corli, Andrea
2018
Propagation of a straight crack in dipolar elastic bodies. Zbl 1396.74093
Marin, M.; Öchsner, A.
2018
Euromech 579, Arpino 3–8 April 2017: “Generalized and microstructured continua: new ideas in modeling and/or applications to structures with (nearly)inextensible fibers” – a review of presentations and discussions. Zbl 1396.74005
Laudato, Marco; Di Cosmo, Fabio
2018
Propagation of a Dugdale crack at the edge of a half plane. Zbl 1392.74082
2018
Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium. Zbl 1392.76073
Beneš, Michal; Pažanin, Igor
2018
Dual and mixed nonsymmetric stress-based variational formulations for coupled thermoelastodynamics with second sound effect. Zbl 1392.74003
Tóth, Balázs
2018
Metal viscoplasticity with two-temperature thermodynamics and two dislocation densities. Zbl 1392.74026
Roy Chowdhury, Shubhankar; Kar, Gurudas; Roy, Debasish; Reddy, J. N.
2018
Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations. Zbl 1392.74073
Clayton, John D.; Knap, J.
2018
Plane micropolar elasticity with surface flexural resistance. Zbl 1392.74012
Gharahi, Alireza; Schiavone, Peter
2018
Seismic waves and earthquakes in a global monolithic model. Zbl 1396.86009
Roubíček, Tomáš
2018
Analysis of nonlinear vibrations and stability of rotating asymmetrical nano-shafts incorporating surface energy effects. Zbl 1396.74058
Ghodousi, Maryam; Shahgholi, Majid; Payganeh, Gholamhassan
2018
A thermodynamic approach to analyze shear localization in semi-solid materials. Zbl 1396.74045
Sheikh-Ansari, M. H.; Aghaie-Khafri, M.
2018
Quasistatic elastoplasticity via Peridynamics: existence and localization. Zbl 1396.74037
Kružík, Martin; Mora-Corral, Carlos; Stefanelli, Ulisse
2018
Dynamic stability and bifurcation analysis in fractional thermodynamics. Zbl 1439.74099
Béda, Péter B.
2018
Effective balance equations for elastic composites subject to inhomogeneous potentials. Zbl 1392.74081
Penta, Raimondo; Ramírez-Torres, Ariel; Merodio, José; Rodríguez-Ramos, Reinaldo
2018
Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source. Zbl 1392.76086
Matta, Anjanna; Hill, Antony A.
2018
Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models. Zbl 1392.82070
Giordano, Stefano
2018
Determination of the thermal stress wave propagation in orthotropic hollow cylinder based on classical theory of thermoelasticity. Zbl 1392.74029
Shahani, Amir Reza; Sharifi Torki, Hamid
2018
A nonlocal species concentration theory for diffusion and phase changes in electrode particles of lithium ion batteries. Zbl 1392.78023
Zhang, Tao; Kamlah, Marc
2018
The effect of a dipolar structure on the Hölder stability in Green-Naghdi thermoelasticity. Zbl 1392.74010
Marin, Marin; Öchsner, Andreas
2017
Micromorphic approach for gradient-extended thermo-elastic-plastic solids in the logarithmic strain space. Zbl 1392.74069
2017
The asymptotic homogenization elasticity tensor properties for composites with material discontinuities. Zbl 1365.74146
Penta, Raimondo; Gerisch, Alf
2017
A high-order finite deformation phase-field approach to fracture. Zbl 1379.74026
Weinberg, Kerstin; Hesch, Christian
2017
Finite plasticity in $$P^\top P$$. I: Constitutive model. Zbl 1365.74035
Grandi, Diego; Stefanelli, Ulisse
2017
Well-posedness and exponential decay for a porous thermoelastic system with second sound and a time-varying delay term in the internal feedback. Zbl 1375.76183
Liu, Wenjun; Chen, Miaomiao
2017
Phase field modelling of dynamic thermal fracture in the context of irradiation damage. Zbl 1379.74025
Schlüter, Alexander; Kuhn, Charlotte; Müller, Ralf; Tomut, Marilena; Trautmann, Christina; Weick, Helmut; Plate, Carolin
2017
Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers. Zbl 1365.80003
Sellitto, A.; Tibullo, V.; Dong, Y.
2017
On the thermodynamics of the Swift-Hohenberg theory. Zbl 1392.80001
Espath, L. F. R.; Sarmiento, A. F.; Dalcin, L.; Calo, V. M.
2017
Wave equation for generalized Zener model containing complex order fractional derivatives. Zbl 1365.74043
Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan
2017
Non-classical continuum theory for solids incorporating internal rotations and rotations of Cosserat theories. Zbl 1365.74012
Surana, K. S.; Joy, A. D.; Reddy, J. N.
2017
Closed-form formulas for the effective properties of random particulate nanocomposites with complete Gurtin-Murdoch model of material surfaces. Zbl 1365.74014
Nazarenko, Lidiia; Bargmann, Swantje; Stolarski, Henryk
2017
Thermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behavior. Zbl 1365.76327
Heß, Julian; Wang, Yongqi; Hutter, Kolumban
2017
Stochastic homogenization of rate-independent systems and applications. Zbl 1375.74077
Heida, Martin
2017
A compressible two-layer model for transient gas-liquid flows in pipes. Zbl 1365.76317
Demay, Charles; Hérard, Jean-Marc
2017
Sharp limit of the viscous Cahn-Hilliard equation and thermodynamic consistency. Zbl 1379.80003
Dreyer, Wolfgang; Guhlke, Clemens
2017
Generalization of strain-gradient theory to finite elastic deformation for isotropic materials. Zbl 1365.74026
Beheshti, Alireza
2017
Galilean relativistic fluid mechanics. Zbl 1365.76350
Ván, Peter
2017
Geophysical models of heat and fluid flow in damageable poro-elastic continua. Zbl 1365.86033
Roubíček, Tomáš
2017
An existence result for a model of complete damage in elastic materials with reversible evolution. Zbl 1365.74016
Bonetti, Elena; Freddi, Francesco; Segatti, Antonio
2017
A relaxation-based approach to damage modeling. Zbl 1365.74017
Junker, Philipp; Schwarz, Stephan; Makowski, Jerzy; Hackl, Klaus
2017
Thermodynamic coupling between gradient elasticity and a Cahn-Hilliard type of diffusion: size-dependent spinodal gaps. Zbl 1392.74030
Tsagrakis, Ioannis; Aifantis, Elias C.
2017
Non-classical continuum theory for fluids incorporating internal and Cosserat rotation rates. Zbl 1392.76002
Surana, K. S.; Joy, A. D.; Reddy, J. N.
2017
The phase-field approach as a tool for experimental validations in fracture mechanics. Zbl 1379.74001
Dally, Tim; Weinberg, Kerstin
2017
On a phase field approach for martensitic transformations in a crystal plastic material at a loaded surface. Zbl 1379.74021
Schmitt, Regina; Kuhn, Charlotte; Müller, Ralf
2017
A coupled ductile fracture phase-field model for crystal plasticity. Zbl 1379.74024
Hernandez Padilla, Carlos Alberto; Markert, Bernd
2017
An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet. Zbl 1365.76343
Mahabaleshwar, U. S.; Nagaraju, K. R.; Vinay Kumar, P. N.; Baleanu, Dumitru; Lorenzini, Giulio
2017
Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC). Zbl 1365.74147
Schindler, Stefan; Mergheim, Julia; Zimmermann, Marco; Aurich, Jan C.; Steinmann, Paul
2017
Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory. Zbl 1365.74025
Zhou, Long-Qiao; Meleshko, Sergey V.
2017
Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range. I: Constitutive equations. Zbl 1392.74041
Kari, Leif
2017
Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range. II: Waveguide solution. Zbl 1392.74042
Kari, Leif
2017
Fast prediction of the fatigue behavior of short-fiber-reinforced thermoplastics based on heat build-up measurements: application to heterogeneous cases. Zbl 1392.74028
Serrano, Leonell; Marco, Yann; Le Saux, Vincent; Robert, Gilles; Charrier, Pierre
2017
Dispersion relations for the hyperbolic thermal conductivity, thermoelasticity and thermoviscoelasticity. Zbl 1392.74032
Vitokhin, Evgeniy Yu.; Ivanova, Elena A.
2017
Modeling of non-ideal hard permanent magnets with an affine-linear model, illustrated for a bar and a horseshoe magnet. Zbl 1392.78008
Glane, Sebastian; Reich, Felix A.; Müller, Wolfgang H.
2017
How to define the storage and loss moduli for a rheologically nonlinear material? A constructive review of nonlinear rheological measures. Zbl 1392.76003
Argatov, Ivan; Iantchenko, Alexei; Kocherbitov, Vitaly
2017
A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model. Zbl 1392.74018
Pouriayevali, Habib; Xu, Bai-Xiang
2017
Micromechanical analysis of volumetric growth in the context of open systems thermodynamics and configurational mechanics. Application to tumor growth. Zbl 1365.92013
Ganghoffer, Jean-Fraçois; Boubaker, M. B.
2017
A two-fluid model for reactive dilute solid-liquid mixtures with phase changes. Zbl 1365.76332
Reis, Martina Costa; Wang, Yongqi
2017
Magnetostriction of a sphere: stress development during magnetization and residual stresses due to the remanent field. Zbl 1365.74077
Reich, Felix A.; Rickert, Wilhelm; Stahn, Oliver; Müller, Wolfgang H.
2017
Two-subsystem thermodynamics for the mechanics of aging amorphous solids. Zbl 1365.74057
Semkiv, Mykhailo; Anderson, Patrick D.; Hütter, Markus
2017
Stochastic equations for continuum and determination of hydraulic drag coefficients for smooth flat plate and smooth round tube with taking into account intensity and scale of turbulent flow. Zbl 1365.35118
Dmitrenko, Artur V.
2017
Constitutive equations of a tensorial model for strain-induced damage of metals based on three invariants. Zbl 1365.74039
Tutyshkin, Nikolai D.; Lofink, Paul; Müller, Wolfgang H.; Wille, Ralf; Stahn, Oliver
2017
Erratum to: “Second law violations, continuum mechanics, and permeability”. Zbl 1365.80005
Ostoja-Starzewski, Martin
2017
Variable viscosity on unsteady dissipative Carreau fluid over a truncated cone filled with titanium alloy nanoparticles. Zbl 1375.76220
Raju, C. S. K.; Sekhar, K. R.; Ibrahim, S. M.; Lorenzini, G.; Viswanatha Reddy, G.; Lorenzini, E.
2017
Magnetohydrodynamic 3D slip flow in a suspension of carbon nanotubes over a slendering sheet with heat source/sink. Zbl 1375.76214
Kumar, R. V. M. S. S. Kiran; Varma, S. Vijaya Kumar; Raju, C. S. K.; Ibrahim, S. M.; Lorenzini, G.; Lorenzini, E.
2017
...and 647 more Documents
all top 5

### Cited by 4,421 Authors

 60 Neff, Patrizio 40 Placidi, Luca 39 Roubíček, Tomáš 39 Ruggeri, Tommaso 38 Mielke, Alexander 32 dell’Isola, Francesco 31 Dumbser, Michael 30 Giorgio, Ivan 28 Madeo, Angela 28 Steinmann, Paul 27 Barretta, Raffaele 27 Stefanelli, Ulisse 24 Romano, Vittorio 24 Truskinovsky, Lev 23 Pennisi, Sebastiano 22 Massoudi, Mehrdad 21 Colli, Pierluigi 21 Straughan, Brian 20 Barchiesi, Emilio 20 Conti, Sergio 20 Eremeyev, Victor A. 20 Hackl, Klaus 20 Hutter, Kolumban 20 Miehe, Christian 20 Struchtrup, Henning 20 Svendsen, Bob 19 Marin, Marin I. 19 Rionero, Salvatore 19 Rossi, Riccarda 18 Ghiba, Ionel-Dumitrel 18 Marigo, Jean-Jacques 18 Turco, Emilio 17 Atanackovic, Teodor M. 17 DeSimone, Antonio 17 Sugiyama, Masaru 17 Torrilhon, Manuel 17 Yun, Seok-Bae 16 Barbera, Elvira 16 Carrisi, Maria Cristina 16 Gavrilyuk, Sergey L. 16 Kružík, Martin 16 Luongo, Angelo 16 Mascali, Giovanni 16 Misra, Anil 16 Reddy, Junuthula Narasimha 15 Bisi, Marzia 15 Fabrizio, Mauro 15 Hérard, Jean-Marc 15 Le Khanh Chau 14 Andreaus, Ugo A. 14 Arima, Takashi 14 Della Corte, Alessandro 14 Gilardi, Gianni 14 Guidugli, Paolo Podio 14 Rădulescu, Vicenţiu D. 14 Taniguchi, Shigeru 14 Wang, Yongqi 13 Altenbach, Holm 13 Bîrsan, Mircea 13 Cimmelli, Vito Antonio 13 Javili, Ali 13 Kremer, Gilberto Medeiros 13 Ouaro, Stanislas 13 Pedregal, Pablo 13 Reddy, B. Dayanand 13 Schlömerkemper, Anja 13 Tsakmakis, Ch. 12 Blokhin, Aleksandr Mikhaĭlovich 12 Boscheri, Walter 12 Brull, Stephane 12 Dolzmann, Georg 12 Grabovsky, Yury 12 Groppi, Maria 12 Hill, Antony A. 12 Menzel, Andreas M. 12 Mulone, Giuseppe 12 Muscato, Orazio 12 Pilipović, Stevan 12 Rajagopal, Kumbakonam Ramamani 12 Rizzi, Nicola Luigi 12 Rocca, Elisabetta 12 Saccomandi, Giuseppe 12 Schiavone, Peter 12 Seppecher, Pierre 12 Spiga, Giampiero 12 Surana, Karan S. 11 Braides, Andrea 11 Brini, Francesca 11 Fang, Chung 11 Greco, Leopoldo 11 Krejčí, Pavel 11 Marotti de Sciarra, Francesco 11 Piccardo, Giuseppe 11 Romano, Giovanni P. 11 Rosi, Giuseppe A. 11 Sprekels, Jürgen 11 Vainchtein, Anna 11 Zorica, Dusan 10 Bargmann, Swantje 10 Bonetti, Elena ...and 4,321 more Authors
all top 5

### Cited in 345 Journals

 388 Continuum Mechanics and Thermodynamics 146 Mathematics and Mechanics of Solids 144 Acta Mechanica 141 Journal of the Mechanics and Physics of Solids 122 Computer Methods in Applied Mechanics and Engineering 115 International Journal of Engineering Science 113 Journal of Elasticity 112 Journal of Computational Physics 102 ZAMP. Zeitschrift für angewandte Mathematik und Physik 82 Archive for Rational Mechanics and Analysis 77 European Journal of Mechanics. A. Solids 73 Journal of Mathematical Analysis and Applications 62 Meccanica 62 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 57 Computational Mechanics 50 Applied Mathematical Modelling 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Journal of Mathematical Physics 43 Ricerche di Matematica 39 Journal of Fluid Mechanics 37 Journal of Differential Equations 36 Mathematical Methods in the Applied Sciences 36 Physics of Fluids 34 Applied Mathematics and Computation 34 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 33 Computers & Mathematics with Applications 33 Journal of Statistical Physics 33 Nonlinear Analysis. Real World Applications 33 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 32 SIAM Journal on Mathematical Analysis 30 Calculus of Variations and Partial Differential Equations 29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Computers and Fluids 27 International Journal for Numerical Methods in Engineering 26 International Journal of Solids and Structures 26 Archive of Applied Mechanics 25 Wave Motion 25 Acta Applicandae Mathematicae 25 European Journal of Mechanics. B. Fluids 24 Journal of Nonlinear Science 22 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 Physica D 21 SIAM Journal on Applied Mathematics 20 GAMM-Mitteilungen 19 Physica A 19 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Quarterly of Applied Mathematics 18 Boundary Value Problems 17 Mathematical Problems in Engineering 17 Kinetic and Related Models 16 Discrete and Continuous Dynamical Systems. Series S 15 International Journal of Plasticity 15 Mathematical and Computer Modelling 15 Nonlinear Dynamics 14 Applicable Analysis 14 Applied Numerical Mathematics 14 Journal of Scientific Computing 13 Journal of Engineering Mathematics 13 Acta Mechanica Sinica 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Journal of Applied Mechanics and Technical Physics 11 Journal of Non-Equilibrium Thermodynamics 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 11 Communications in Applied and Industrial Mathematics 11 Mathematics and Mechanics of Complex Systems 10 Mathematics and Computers in Simulation 10 NoDEA. Nonlinear Differential Equations and Applications 10 Multiscale Modeling & Simulation 9 Mathematical Biosciences 9 Applied Mathematics Letters 9 European Journal of Applied Mathematics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Fractional Calculus & Applied Analysis 9 Communications in Nonlinear Science and Numerical Simulation 9 Entropy 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Mediterranean Journal of Mathematics 9 AMM. Applied Mathematics and Mechanics. (English Edition) 8 Transport Theory and Statistical Physics 8 Applied Mathematics and Optimization 8 Journal of Computational and Applied Mathematics 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal of Mathematical Sciences (New York) 8 Lobachevskii Journal of Mathematics 8 Archives of Computational Methods in Engineering 8 Complex Variables and Elliptic Equations 8 Journal of Theoretical Biology 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Applications of Mathematics 7 Journal of Non-Newtonian Fluid Mechanics 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Communications on Pure and Applied Analysis 7 Communications in Computational Physics 7 Symmetry 7 Evolution Equations and Control Theory 7 Journal of Computational and Theoretical Transport 6 Physics Letters. A ...and 245 more Journals
all top 5

### Cited in 49 Fields

 2,172 Mechanics of deformable solids (74-XX) 1,063 Partial differential equations (35-XX) 1,002 Fluid mechanics (76-XX) 538 Statistical mechanics, structure of matter (82-XX) 348 Classical thermodynamics, heat transfer (80-XX) 297 Numerical analysis (65-XX) 270 Calculus of variations and optimal control; optimization (49-XX) 109 Biology and other natural sciences (92-XX) 99 Optics, electromagnetic theory (78-XX) 72 Ordinary differential equations (34-XX) 66 Mechanics of particles and systems (70-XX) 58 Functional analysis (46-XX) 54 Real functions (26-XX) 53 Operator theory (47-XX) 47 Dynamical systems and ergodic theory (37-XX) 47 Geophysics (86-XX) 39 Operations research, mathematical programming (90-XX) 37 Integral equations (45-XX) 37 Probability theory and stochastic processes (60-XX) 36 Differential geometry (53-XX) 32 Systems theory; control (93-XX) 31 Global analysis, analysis on manifolds (58-XX) 19 Information and communication theory, circuits (94-XX) 18 Relativity and gravitational theory (83-XX) 15 Quantum theory (81-XX) 13 Astronomy and astrophysics (85-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 General and overarching topics; collections (00-XX) 12 Statistics (62-XX) 10 Measure and integration (28-XX) 10 Computer science (68-XX) 9 History and biography (01-XX) 9 Difference and functional equations (39-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 5 Approximations and expansions (41-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX)