# zbMATH — the first resource for mathematics

## International Journal for Numerical and Analytical Methods in Geomechanics

 Short Title: Int. J. Numer. Anal. Methods Geomech. Publisher: John Wiley & Sons, Chichester ISSN: 0363-9061; 1096-9853/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9853 Comments: No longer indexed
 Documents Indexed: 1,428 Publications (1977–2011) References Indexed: 1,354 Publications with 35,540 References.
all top 5

#### Latest Issues

 35, No. 9 (2011) 35, No. 8 (2011) 35, No. 7 (2011) 35, No. 6 (2011) 35, No. 5 (2011) 35, No. 4 (2011) 35, No. 3 (2011) 35, No. 2 (2011) 35, No. 1 (2011) 34, No. 18 (2010) 34, No. 17 (2010) 34, No. 16 (2010) 34, No. 15 (2010) 34, No. 14 (2010) 34, No. 13 (2010) 34, No. 12 (2010) 34, No. 11 (2010) 34, No. 10 (2010) 34, No. 9 (2010) 34, No. 8 (2010) 34, No. 7 (2010) 34, No. 6 (2010) 34, No. 5 (2010) 34, No. 4 (2010) 34, No. 3 (2010) 34, No. 2 (2010) 34, No. 1 (2010) 33, No. 18 (2009) 33, No. 17 (2009) 33, No. 16 (2009) 33, No. 15 (2009) 33, No. 14 (2009) 33, No. 13 (2009) 33, No. 12 (2009) 33, No. 11 (2009) 33, No. 10 (2009) 33, No. 9 (2009) 33, No. 8 (2009) 33, No. 7 (2009) 33, No. 6 (2009) 33, No. 5 (2009) 33, No. 4 (2009) 33, No. 3 (2009) 33, No. 2 (2009) 33, No. 1 (2009) 32, No. 18 (2008) 32, No. 17 (2008) 32, No. 16 (2008) 32, No. 15 (2008) 32, No. 14 (2008) 32, No. 13 (2008) 32, No. 12 (2008) 32, No. 11 (2008) 32, No. 10 (2008) 32, No. 9 (2008) 32, No. 8 (2008) 32, No. 7 (2008) 32, No. 6 (2008) 32, No. 5 (2008) 32, No. 4 (2008) 32, No. 3 (2008) 32, No. 2 (2008) 32, No. 1 (2008) 31, No. 15 (2007) 31, No. 14 (2007) 31, No. 13 (2007) 31, No. 12 (2007) 31, No. 11 (2007) 31, No. 10 (2007) 31, No. 9 (2007) 31, No. 8 (2007) 31, No. 7 (2007) 31, No. 6 (2007) 31, No. 5 (2007) 31, No. 4 (2007) 31, No. 3 (2007) 31, No. 2 (2007) 31, No. 1 (2007) 30, No. 15 (2006) 30, No. 14 (2006) 30, No. 13 (2006) 30, No. 12 (2006) 30, No. 11 (2006) 30, No. 10 (2006) 30, No. 9 (2006) 30, No. 8 (2006) 30, No. 7 (2006) 30, No. 6 (2006) 30, No. 5 (2006) 30, No. 4 (2006) 30, No. 3 (2006) 30, No. 2 (2006) 30, No. 1 (2006) 29, No. 15 (2005) 29, No. 14 (2005) 29, No. 13 (2005) 29, No. 12 (2005) 29, No. 11 (2005) 29, No. 10 (2005) 29, No. 9 (2005) ...and 207 more Volumes
all top 5

#### Authors

 36 Booker, John Robert 18 Selvadurai, A. Patrick S. 17 Carter, John P. 16 Small, J. C. 13 Smith, David W. 12 Sloan, Scott W. 12 Vardoulakis, Ioannis G. 11 Darve, Félix 11 Pietruszczak, St. 11 Randolph, Mark F. 11 Sheng, Daichao 11 Valliappan, Somasundaram 11 Zienkiewicz, Olgierd Cecil 10 Abousleiman, Younane N. 10 de Buhan, Patrick 10 Dormieux, Luc 10 Oka, Fusao 10 Runesson, Kenneth 9 Cheng, Alexander H.-D. 9 Gambolati, Giuseppe 9 Gioda, Giancarlo 9 Jeng, Dongsheng 9 Khalili, Nasser 9 Kumar, Jyant 9 Molenkamp, Frans 9 Mróz, Zenon 9 Prevost, Jean-Herve 9 Wang, Cheng-Der 8 Deeks, Andrew J. 8 Desai, Chandra S. 8 Gens, Antonio 8 Laloui, Lyesse 8 Nicot, François 8 Rowe, R. Kerry 8 Smith, Ian M. 8 Vulliet, Laurent 8 Zhao, Chongbin 7 Cambou, Bernard 7 Chow, Y. K. 7 Ferronato, Massimiliano 7 Giraud, Albert 7 Homand, Françoise 7 Jeremić, Boris 7 Lewis, Roland W. 7 Thomas, Hywel Rhys 7 Yin, Jianhua 6 Davis, R. O. 6 Elsworth, Derek 6 Gajo, Alessandro 6 Gutierrez, Marte S. 6 Hashash, Youssef M. A. 6 Houlsby, Guy T. 6 Leo, Chin Jian 6 Maghous, Samir 6 Pande, Gyan N. 6 Pastor, Manuel 6 Shahrour, Isam 6 Tamagnini, Claudio 5 Alonso, E. E. M. 5 Bai, Mao 5 Chau, K.-T. 5 de Borst, René 5 Detournay, Emmanuel 5 Dusseault, Maurice B. 5 Gatmiri, Behrouz 5 Griffiths, D. V. 5 Hobbs, Bruce E. 5 Hofstetter, Günter 5 Hückel, Tomasz 5 Lade, Poul V. 5 Meschke, Günther 5 Morland, Leslie W. 5 Muhunthan, Balasingam 5 Mullenger, George 5 Muraleetharan, Kanthasamy K. 5 Nova, Roberto 5 Phoon, Kok-Kwang 5 Pijaudier-Cabot, Gilles 5 Plesha, Michael E. 5 Sandhu, Ranbir S. 5 Sharma, K. G. 5 Tejchman, Jacek 5 Voyiadjis, George Z. 5 Yeh, Hund-Der 4 Adachi, Toshihisa 4 Axelsson, Kennet B. 4 Bazant, Zdenek Pavel 4 Bolton, Malcolm D. 4 Borja, Ronaldo I. 4 Chambon, René Pierre Henri 4 Chang, Ching-Sen 4 Charlier, Robert 4 Chugh, Ashok K. 4 Collins, Ian F. 4 Dafalias, Yannis F. 4 Elzein, Abbas H. 4 Feng, Xiating 4 Fox, Patrick J. 4 Frost, J. David 4 Goh, A. T. C. ...and 1,667 more Authors
all top 5

#### Fields

 1,345 Mechanics of deformable solids (74-XX) 245 Fluid mechanics (76-XX) 127 Geophysics (86-XX) 56 Numerical analysis (65-XX) 39 Classical thermodynamics, heat transfer (80-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 8 Partial differential equations (35-XX) 8 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Computer science (68-XX) 4 Integral equations (45-XX) 4 Operations research, mathematical programming (90-XX) 3 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

917 Publications have been cited 4,320 times in 2,497 Documents Cited by Year
Dynamic behaviour of saturated porous media: The generalized Biot formulation and its numerical solution. Zbl 0526.73099
Zienkiewicz, O. C.; Shiomi, T.
1984
An accuracy condition for consolidation by finite elements. Zbl 0456.73060
Vermeer, P. A.; Verruijt, A.
1981
Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model. Zbl 1273.74563
Bui, Ha H.; Fukagawa, Ryoichi; Sako, Kazunari; Ohno, Shintaro
2008
Upper bound limit analysis using simplex strain elements and second-order cone programming. Zbl 1196.74014
Makrodimopoulos, A.; Martin, C. M.
2007
Shear band inclination and shear modulus of sand in biaxial tests. Zbl 0443.73092
Vardoulakis, I.
1980
Continuum approach to the numerical simulation of material failure in concrete. Zbl 1112.74493
Oliver, J.; Huespe, A. E.; Samaniego, E.; Chaves, E. W. V.
2004
On the estimation of the deformability characteristics of an isotropic elastic soil medium by means of a vane test. Zbl 0404.73090
Selvadurai, A. P. S.
1979
Upper bound limit analysis using linear finite elements and nonlinear programming. Zbl 1112.74527
Lyamin, A. V.; Sloan, S. W.
2002
Self-similar solution of a plane-strain fracture driven by a power-law fluid. Zbl 1064.74148
Adachi, J. I.; Detournay, E.
2002
An ellipse-based discrete element model for granular materials. Zbl 0790.73062
Ting, John M.; Khwaja, Mahmood; Meachum, Larry R.; Rowell, Jeffrey D.
1993
Shearing of a narrow granular layer with polar quantities. Zbl 0996.74024
Tejchman, J.; Gudehus, G.
2001
On the theory of consolidation with double porosity. III. A finite element formulation. Zbl 0586.73116
Khaled, M. Y.; Beskos, D. E.; Aifantis, E. C.
1984
Lower bound limit analysis using finite elements and linear programming. Zbl 0626.73117
Sloan, S. W.
1988
Crack propagation criteria in the framework of X-FEM-based structural analyses. Zbl 1159.74038
Dumstorff, Peter; Meschke, Günther
2007
Localization problems in plasticity using finite elements with adaptive remeshing. Zbl 0819.73069
Zienkiewicz, O. C.; Huang, Maosong; Pastor, M.
1995
Generalized plasticity and the modelling of soil behaviour. Zbl 0702.73052
Pastor, M.; Zienkiewicz, O. C.; Chan, A. H. C.
1990
Discrete $$vs$$ smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044
de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle
2004
Analysis of the solid phase stress tensor in multiphase porous media. Zbl 1196.74040
Gray, William G.; Schrefler, Bernhard A.
2007
Torsional surface waves in inhomogeneous elastic media. Zbl 0536.73018
Vardoulakis, I.
1984
Contact detection algorithms for three-dimensional ellipsoids in discrete element modelling. Zbl 0834.73076
Lin, Xiaoshan; Ng, Tang-Tat
1995
A pore-scale numerical model for flow through porous media. Zbl 0957.76067
Zhu, Yi; Fox, Patrick J.; Morris, Joseph P.
1999
Effective stress concept in unsaturated soils: clarification and validation of a unified framework. Zbl 1273.74293
Nuth, Mathieu; Laloui, Lyesse
2008
An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation. Zbl 1108.74052
Comi, Claudia; Mariani, Stefano; Perego, Umberto
2007
In-plane vibrations of soil deposits with variable shear modulus. I: Surface waves. Zbl 0702.73051
Vrettos, Ch.
1990
An investigation of numerical errors in the analysis of consolidation by finite elements. Zbl 0536.73089
Reed, M. B.
1984
Green’s functions in layered poroelastic half-spaces. Zbl 0962.74017
Pan, E.
1999
Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks. Zbl 1273.74332
Zhao, Chongbin; Hobbs, B. E.; Hornby, P.; Ord, A.; Peng, Shenglin; Liu, Liangming
2008
Finite element free surface seepage analysis without mesh iteration. Zbl 0392.76089
Bathe, Klaus-Jürgen; Khoshgoftaar, Mohammad R.
1979
An analytical solution for the transient response of saturated porous elastic solids. Zbl 0539.73128
Simon, B. R.; Zienkiewicz, O. C.; Paul, D. K.
1984
Numerical prediction of collapse loads using finite element methods. Zbl 0475.73080
Sloan, S. W.; Randolph, M. F.
1982
A three-phase model for unsaturated soils. Zbl 1018.74026
Loret, Benjamin; Khalili, Nasser
2000
Softening, localization and stabilization: capture of discontinuous solutions in J2 plasticity. Zbl 1071.74050
Cervera, M.; Chiumenti, M.; Agelet de Saracibar, C.
2004
Flow through porous media: A procedure for locating the free surface. Zbl 0623.73115
Lacy, Sara J.; Prevost, Jean H.
1987
A direct boundary element method for plane strain poroelasticity. Zbl 0662.73056
Cheng, Alexander H.-D.; Detournay, Emmanuel
1988
Upper bound limit analysis using finite elements and linear programming. Zbl 0687.73040
Sloan, S. W.
1989
Effect of property variation and modelling on convection in a fluid overlying a porous layer. Zbl 1004.76091
Straughan, B.
2002
Two dimensional discontinuous deformation analysis. Zbl 0573.73106
Shi, Gen-Hua; Goodman, Richard E.
1985
In-plane vibrations of soil deposits with variable shear modulus. II: Line load. Zbl 0724.73198
Vrettos, Ch.
1990
Plastic model with non-local damage applied to concrete. Zbl 1140.74538
Grassl, Peter; Jirásek, Milan
2006
A complex variable solution for a deforming circular tunnel in an elastic half-plane. Zbl 0894.73127
Verruijt, A.
1997
Formulation of a unified constitutive model for clays and sands. Zbl 0971.74054
Pestana, Juan M.; Whittle, Andrew J.
1999
A depth-integrated, coupled SPH model for flow-like landslides and related phenomena. Zbl 1272.74464
Pastor, M.; Haddad, B.; Sorbino, G.; Cuomo, S.; Drempetic, V.
2009
A method of computing the consolidation behaviour of layered soils using direct numerical inversion of Laplace transforms. Zbl 0612.73109
Booker, J. R.; Small, J. C.
1987
A generalized backward Euler algorithm for the numerical integration of an isotropic hardening elastoplastic model for mechanical and chemical degradation of bonded geomaterials. Zbl 1151.74427
Tamagnini, Claudio; Castellanza, Riccardo; Nova, Roberto
2002
Elastic solutions for a transversely isotropic half-space subjected to a point load. Zbl 0921.73049
Liao, J. J.; Wang, C. D.
1998
Finite element formulation and algorithms for unsaturated soils. I: Theory. Zbl 1085.74515
Sheng, Daichao; Sloan, Scott W.; Gens, Antonio; Smith, David W.
2003
Torsional surface wave in an elastic half-space with void pores. Zbl 0776.73016
Dey, S.; Gupta, S.; Gupta, A. K.
1993
Coupled HM analysis using zero-thickness interface elements with double nodes. I: Theoretical model. Zbl 1273.74546
Segura, J. M.; Carol, I.
2008
Finite layer analysis of consolidation. II. Zbl 0482.73088
Booker, J. R.; Small, J. C.
1982
Mesh adaptation and transfer schemes for discrete fracture propagation in porous materials. Zbl 1114.74061
Secchi, Stefano; Simoni, Luciano; Schrefler, Bernhard A.
2007
Review of validation of the discontinuous deformation analysis (DDA) method. Zbl 1140.74574
MacLaughlin, M. M.; Doolin, D. M.
2006
Theoretical and numerical analyses of convective instability in porous media with upward throughflow. Zbl 0941.76029
Zhao, Chongbin; Hobbs, B. E.; Mühlhaus, H. B.
1999
Finite layer analysis of consolidation. I. Zbl 0482.73087
Booker, J. R.; Small, J. C.
1982
Smeared crack approach: back to the original track. Zbl 1196.74180
Cervera, M.; Chiumenti, M.
2006
A fully coupled hydro-thermo-poro-mechanical model for black oil reservoir simulation. Zbl 1016.74023
Pao, W. K. S.; Lewis, R. W.; Masters, I.
2001
Finite element modelling of three-phase flow in deforming saturated oil reservoirs. Zbl 0785.76042
Lewis, R. W.; Sukirman, Y.
1993
CLoE, a new rate-type constitutive model for geomaterials. Theoretical basis and implementation. Zbl 0809.73049
Chambon, René; Desrues, Jacques; Hammad, Walid; Charlier, Robert
1994
A kinematic hardening constitutive model for sands: The multiaxial formulation. Zbl 0943.74040
Gajo, A.; Wood, D. Muir
1999
Non-local damage model with evolving internal length. Zbl 1112.74475
Pijaudier-Cabot, Gilles; Haidar, Khalil; Dubé, Jean-François
2004
On zero-thickness interface elements for diffusion problems. Zbl 1075.76580
Segura, J. M.; Carol, I.
2004
Large strain static and dynamic semisaturated soil behaviour. Zbl 0819.73055
Meroi, E. A.; Schrefler, B. A.; Zienkiewicz, O. C.
1995
Magnetoelastic shear waves in an infinite self-reinforced plate. Zbl 0822.73015
Chattopadhyay, A.; Choudhury, S.
1995
The analysis of finite elasto-plastic consolidation. Zbl 0394.73097
Carter, J. P.; Booker, J. R.; Small, J. C.
1979
Evaluation of u-w and u-$$\pi$$ finite element methods for the dynamic response of saturated porous media using one-dimensional models. Zbl 0597.73108
Simon, B. R.; Wu, J. S.-S.; Zienkiewicz, O. C.; Paul, D. K.
1986
Response of poroelastic halfspace to steady-state harmonic surface tractions. Zbl 0601.73107
Halpern, Marc R.; Christiano, Paul
1986
On statistical description of stress and fabric in granular materials. Zbl 0475.73124
Mehrabadi, M. M.; Nemat-Nasser, S.; Oda, M.
1982
A new mixed finite element method for poro-elasticity. Zbl 1273.74550
Tchonkova, Maria; Peters, John; Sture, Stein
2008
Material instability in granular assemblies from fundamentally different models. Zbl 1196.74055
Sibille, L.; Nicot, F.; Donzé, F. V.; Darve, F.
2007
Generalization of two-dimensional discontinuous deformation analysis for forward modelling. Zbl 0711.73202
Shi, Gen-Hua; Goodman, Richard E.
1989
The axial loading of a rigid circular anchor plate embedded in an elastic half-space. Zbl 0785.73071
Selvadurai, A. P.
1993
Green’s functions for a fully coupled thermoporoelastic material. Zbl 0776.73060
Smith, David W.; Booker, John R.
1993
Numerical modelling of regional faults in land subsidence prediction above gas/oil reservoirs. Zbl 1273.74532
Ferronato, Massimiliano; Gambolati, Giuseppe; Janna, Carlo; Teatini, Pietro
2008
A 3D distinct lattice spring model for elasticity and dynamic failure. Zbl 1274.74438
Zhao, Gao-Feng; Fang, Jiannong; Zhao, Jian
2011
An algorithm and a modular subroutine for the cap model. Zbl 0393.73002
Sandler, I. S.; Rubin, D.
1979
A new approach for modelling slip lines in geological materials with cohesive models. Zbl 1196.74137
Rabczuk, T.; Areias, P. M. A.
2006
Transient solution for a plane-strain fracture driven by a shear-thinning, power-law fluid. Zbl 1196.74190
Garagash, D. I.
2006
Modelling strain localization in granular materials using micropolar theory: mathematical formulations. Zbl 1196.74025
Alsaleh, Mustafa I.; Voyiadjis, George Z.; Alshibli, Khalid A.
2006
Modelling of hygro-thermal behaviour and damage of concrete at temperature above the critical point of water. Zbl 0995.74505
Gawin, D.; Pesavento, F.; Schrefler, B. A.
2002
Elastoplastic constitutive equation of soils with the subloading surface and the rotational hardening. Zbl 0911.73053
Hashiguchi, K.; Chen, Z.-P.
1998
Numerical investigations of shear localization in a micro-polar hypoplastic material. Zbl 1054.74044
Huang, Wenxiong; Bauer, Erich
2003
Instability and ill-posedness in the deformation of granular materials. Zbl 0727.73026
Schaeffer, David G.
1990
Impedances of rigid cylindrical foundations embedded in transversely isotropic soils. Zbl 1140.74491
Barros, P. L. A.
2006
Fuzzy finite element analysis of a foundation on an elastic soil medium. Zbl 0800.73458
Valliappan, S.; Pham, T. D.
1993
Numerical Laplace-Fourier transform inversion technique for layered-soil consolidation problems. I. Fundamental solutions and validation. Zbl 0589.73092
Vardoulakis, I.; Harnpattanapanich, T.
1986
Axisymmetric interaction of a rigid disc with a transversely isotropic half-space. Zbl 1273.74356
Katebi, Amir Aabbas; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S.
2010
Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media. Zbl 1274.76281
Holmes, David W.; Williams, John R.; Tilke, Peter
2011
A simple hypoplastic constitutive model for sand. Zbl 0818.73057
Wu, Wei; Bauer, Erich
1994
Mathematical modelling of monotonic and cyclic undrained clay behaviour. Zbl 0366.73094
Prevost, Jean-Herve
1977
Numerical manifold method for dynamic nonlinear analysis of saturated porous media. Zbl 1196.74283
Zhang, H. W.; Zhou, L.
2006
Shearing flows of a dry granular material — hypoplastic constitutive theory and numerical simulations. Zbl 1196.74027
Fang, Chung; Wang, Yongqi; Hutter, Kolumban
2006
Semi-analytical elastostatic analysis of unbounded two-dimensional domains. Zbl 1034.74011
Deeks, Andrew J.; Wolf, John P.
2002
A modified Jacobi preconditioner for solving ill-conditioned Biot’s consolidation equations using symmetric quasi-minimal residual method. Zbl 1065.74605
Chan, S. H.; Phoon, K. K.; Lee, F. H.
2001
Constitutive models for rock discontinuities with dilatancy and surface degradation. Zbl 0612.73108
Plesha, Michael E.
1987
Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118
de Borst, R.
1988
Micromechanics of saturated and unsaturated porous media. Zbl 1016.74021
Chateau, Xavier; Dormieux, Luc
2002
Elastic solutions for a transversely isotropic half-space subjected to buried asymmetric loads. Zbl 0949.74042
Wang, C. D.; Liao, J. J.
1999
Consolidation analysis of a cross-anisotropic homogeneous elastic soil using a finite layer numerical method. Zbl 1075.74582
Mei, Guo-Xiong; Yin, Jian-Hua; Zai, Jin-Min; Yin, Zong-Ze; Ding, Xiao-Li; Zhu, Guo-Fu; Chu, Lok Man
2004
Direct assessment of structural resistance against pressurized fracture. Zbl 1047.74523
Bolzon, G.; Cocchetti, G.
2003
A hypoplastic constitutive model for clays. Zbl 1122.74457
Mašín, D.
2005
Influence of liquid bridges on the mechanical behaviour of polydisperse granular materials. Zbl 1140.74426
Soulié, F.; Cherblanc, F.; El Youssoufi, M. S.; Saix, C.
2006
A 3D distinct lattice spring model for elasticity and dynamic failure. Zbl 1274.74438
Zhao, Gao-Feng; Fang, Jiannong; Zhao, Jian
2011
Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media. Zbl 1274.76281
Holmes, David W.; Williams, John R.; Tilke, Peter
2011
A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag. Zbl 1274.74433
Gordeliy, E.; Detournay, E.
2011
Pore scale study of permeability and tortuosity for flow through particulate media using lattice Boltzmann method. Zbl 1274.76312
Ghassemi, Ali; Pak, Ali
2011
A three-point time discretization technique for parabolic partial differential equations. Zbl 1274.76268
Khoshghalb, A.; Khalili, N.; Selvadurai, A. P. S.
2011
Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds. Zbl 1274.74437
Zhang, Z.; Ghassemi, A.
2011
A coupled fluid-solid model for problems in geomechanics: application to sand production. Zbl 1274.74186
Boutt, D. F.; Cook, B. K.; Williams, J. R.
2011
A new parabolic variational inequality formulation of Signorini’s condition for non-steady seepage problems with complex seepage control systems. Zbl 1274.76310
Chen, Yifeng; Hu, Ran; Zhou, Chuangbing; Li, Dianqing; Rong, Guan
2011
Stress–dilatancy and force chain evolution. Zbl 1429.74012
Tordesillas, Antoinette; Shi, Jingyu; Tshaikiwsky, Timothy
2011
Numerical analysis of a one-dimensional infiltration problem in unsaturated soil by a seepage-deformation coupled method. Zbl 1274.74104
Garcia, E.; Oka, F.; Kimoto, S.
2011
Diffuse and localized failure modes: two competing mechanisms. Zbl 1274.74440
Nicot, François; Darve, Félix
2011
Modelling instabilities in triaxial testing on unsaturated soil specimens. Zbl 1429.74006
Buscarnera, Giuseppe; Nova, Roberto
2011
Bearing capacity factors of circular foundations for a general $$c-\phi$$ soil using lower bound finite elements limit analysis. Zbl 1274.74189
Kumar, Jyant; Khatri, Vishwas N.
2011
Exact solutions for one-dimensional transient response of fluid-saturated porous media. Zbl 1274.74113
Shan, Zhendong; Ling, Daosheng; Ding, Haojiang
2011
Cell to node projections: an assessment of error. Zbl 1274.76274
Goumiri, Imene R.; Prévost, Jean H.
2011
Preconditioners in computational geomechanics: a survey. Zbl 1274.74447
Gambolati, G.; Ferronato, M.; Janna, C.
2011
Compressibility and permeability of sand-kaolin mixtures. Experiments versus nonlinear homogenization schemes. Zbl 1274.74185
Boutin, Claude; Kacprzak, Grzegorz; Thiep, Doanh
2011
Fully coupled poromechanical back analysis of the pulse test by inverse method. Zbl 1274.74106
Giot, Richard; Giraud, Albert; Auvray, Christophe; Homand, Françoise; Guillon, Théophile
2011
A new method to calculate the equivalent Mohr-Coulomb friction angle for cohesive and frictional materials. Zbl 1274.74208
Jiang, Hua; Wang, Xiaowo
2011
On the hydraulic intake shape factor for a circular opening located at an impervious boundary: influence of inclined stratification. Zbl 1274.76317
Selvadurai, A. P. S.
2011
Developing elasto-plastic models without establishing any expression for the yield function. Zbl 1274.74071
Sands, C. M.; Chandler, H. W.; Guz, I. A.
2011
Anisotropic model of damage for geomaterials and concrete. Zbl 1274.74038
Alliche, Abdenour; Dumontet, Helene
2011
Bifurcation analysis for a rate-sensitive, non-associative, three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials. I: Small strain. Zbl 1429.74010
Regueiro, R. A.; Foster, C. D.
2011
An elasto-viscoplastic model for diatomaceous mudstone and numerical simulation of compaction bands. Zbl 1429.74009
Oka, F.; Kimoto, S.; Higo, Y.; Ohta, H.; Sanagawa, T.; Kodaka, T.
2011
Axisymmetric interaction of a rigid disc with a transversely isotropic half-space. Zbl 1273.74356
Katebi, Amir Aabbas; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S.
2010
Wave propagation in an inhomogeneous cross-anisotropic medium. Zbl 1273.74152
Wang, Cheng-Der; Lin, Ya-Ting; Jeng, Yu-Shiuh; Ruan, Zheng-Wei
2010
Micromechanical models of the strength of a sandstone. Zbl 1273.74224
Dormieux, L.; Jeannin, L.; Bemer, E.; Le, T. H.; Sanahuja, J.
2010
Three-dimensional transient thermo-hydro-mechanical fundamental solutions of unsaturated soils. Zbl 1273.74278
Maghoul, Pooneh; Gatmiri, Behrouz; Duhamel, Denis
2010
Computational homogenization of uncoupled consolidation in micro-heterogeneous porous media. Zbl 1273.74080
Larsson, Fredrik; Runesson, Kenneth; Su, Fang
2010
Effect of spatial variability of cross-correlated soil properties on bearing capacity of strip footing. Zbl 1273.74217
Cho, Sung Eun; Park, Hyung Choon
2010
A numerical model for foundation settlements due to deformation accumulation in granular soils under repeated small amplitude dynamic loading. Zbl 1273.74229
François, S.; Karg, C.; Haegeman, W.; Degrande, G.
2010
Calibration of a discrete element model for intact rock up to its peak strength. Zbl 1273.74571
Wang, Yuannian; Tonon, Fulvio
2010
An enhanced constitutive model for crushable granular materials. Zbl 1273.74050
Daouadji, Ali; Hicher, Pierre-Yves
2010
An iterative pressure-stabilized fractional step algorithm in saturated soil dynamics. Zbl 1273.74539
Li, Xikui; Zhang, Xue; Han, Xianhong; Sheng, D. C.
2010
The effect of particle shape and grain-scale properties of shale: a micromechanics approach. Zbl 1273.74295
Ortega, J. A.; Ulm, F.-J.; Abousleiman, Y.
2010
Theoretical analyses of nonaqueous phase liquid dissolution-induced instability in two-dimensional fluid-saturated porous media. Zbl 1273.76108
Zhao, Chongbin; Hobbs, B. E.; Ord, A.
2010
Predicting the dependency of a degree of saturation on void ratio and suction using effective stress principle for unsaturated soils. Zbl 1273.74284
Mašín, David
2010
Two formulations for dynamic response of a cylindrical cavity in cross-anisotropic porous media. Zbl 1273.74078
Eslami, Hashem; Gatmiri, Behrooz
2010
An elasto-plastic three phase model for partially saturated soil for the finite element simulation of compressed air support in tunnelling. Zbl 1273.74291
Nagel, F.; Meschke, G.
2010
Rheological characteristics of solid-fluid transition in dry granular dense flows: a thermodynamically consistent constitutive model with a pressure-ratio order parameter. Zbl 1273.74051
Fang, Chung
2010
Time-dependent behaviour of a rigid foundation on a transversely isotropic soil layer. Zbl 1273.74215
Chen, Shengli; Abousleiman, Younane
2010
Discrete element modeling of direct shear tests for a granular material. Zbl 1273.74572
Yan, Ying; Ji, Shunying
2010
Numerical local analysis of relevant internal variables for constitutive modelling of granular materials. Zbl 1273.74061
Yunus, Yuhanis; Vincens, Eric; Cambou, Bernard
2010
Constitutive modeling of unsaturated aggregated soils. Zbl 1273.74257
Koliji, A.; Laloui, L.; Vulliet, L.
2010
Micromechanical parameters in bonded particle method for modelling of brittle material failure. Zbl 1273.74453
Kazerani, T.; Zhao, J.
2010
Including friction in the mathematics of classical plasticity. Zbl 1273.74028
Chandler, H. W.; Sands, C. M.
2010
Cracking risk of partially saturated porous media. I: Microporoelasticity model. Zbl 1273.74084
Pichler, Bernhard; Dormieux, Luc
2010
Cracking risk of partially saturated porous media. II: Application to drying shrinkage. Zbl 1273.74085
Pichler, Bernhard; Dormieux, Luc
2010
Elastoplastic damage modeling of desaturation and resaturation in argillites. Zbl 1273.74505
Jia, Y.; Bian, H. B.; Su, K.; Kondo, D.; Shao, J. F.
2010
On the determination of a set of material constants for a high-cycle accumulation model for non-cohesive soils. Zbl 1273.74315
Wichtmann, T.; Niemunis, A.; Triantafyllidis, Theodor
2010
Dynamic responses of a pile embedded in a layered poroelastic half-space to harmonic lateral loads. Zbl 1273.74320
Xu, Bin; Lu, Jianfei; Wang, Jianhua
2010
Modelling of contaminant transport through landfill liners using EFGM. Zbl 1273.74300
Praveen Kumar, R.; Dodagoudar, G. R.
2010
Bearing capacity of shallow foundations in transversely isotropic granular media. Zbl 1273.74049
Azami, A.; Pietruszczak, S.; Guo, P.
2010
Influence of inherent anisotropy on mechanical behavior of granular materials based on DEM simulations. Zbl 1273.74053
Mahmood, Zafar; Iwashita, Kazuyoshi
2010
Flat boundaries and their effect on sand testing. Zbl 1273.74283
Marketos, G.; Bolton, Malcolm D.
2010
Non-coaxial elasto-plasticity model and bifurcation prediction of shear banding in sands. Zbl 1273.74244
Huang, Maosong; Lu, Xilin; Qian, Jiangu
2010
A yield criterion for isotropic and cross-anisotropic cohesive-frictional materials. Zbl 1273.74030
Mortara, G.
2010
Study on the action of the active Earth pressure by variational limit equilibrium method. Zbl 1273.74268
Li, Xinggao; Liu, Weining
2010
Limiting equilibrium method for slope/drilled shaft system. Zbl 1273.74323
Yamin, Mohammad; Liang, Robert Y.
2010
Three-dimensional finite element study of arching behavior in slope/drilled shafts system. Zbl 1273.74270
Liang, Robert Y.; Yamin, Mohammad
2010
Damage-viscoplastic consistency model with a parabolic cap for rocks with brittle and ductile behavior under low-velocity impact loading. Zbl 1273.74305
Saksala, Timo
2010
An unsaturated soil model with minimal number of parameters based on bounding surface plasticity. Zbl 1273.74289
Morvan, M.; Wong, Henry; Branque, D.
2010
Probabilistic yielding and cyclic behavior of geomaterials. Zbl 1273.74306
Sett, Kallol; Jeremić, Boris
2010
Explicit integration of bounding surface model for the analysis of earthquake soil liquefaction. Zbl 1273.74201
Andrianopoulos, Konstantinos I.; Papadimitriou, Achilleas G.; Bouckovalas, George D.
2010
Large static problem in numerical limit analysis: a decomposition approach. Zbl 1273.74029
Kammoun, Zied; Pastor, Franck; Smaoui, Hichem; Pastor, Joseph
2010
A depth-integrated, coupled SPH model for flow-like landslides and related phenomena. Zbl 1272.74464
Pastor, M.; Haddad, B.; Sorbino, G.; Cuomo, S.; Drempetic, V.
2009
An extended finite element framework for slow-rate frictional faulting with bulk plasticity and variable friction. Zbl 1273.74541
Liu, Fushen; Borja, Ronaldo I.
2009
A complex variable solution for stress and displacement field around a lined circular tunnel at great depth. Zbl 1273.74314
Wang, Mingbin; Li, Shucai
2009
On the capillary stress tensor in wet granular materials. Zbl 1273.74058
Scholtès, L.; Hicher, P.-Y.; Nicot, F.; Chareyre, B.; Darve, F.
2009
The role of preconditioning in the solution to FE coupled consolidation equations by Krylov subspace methods. Zbl 1272.74610
Ferronato, Massimiliano; Pini, Giorgio; Gambolati, Giuseppe
2009
Non-coaxiality and stress-dilatancy rule in granular materials: FE investigation within micro-polar hypoplasticity. Zbl 1272.74113
Tejchman, Jacek; Wu, Wei
2009
Particle shape effect on macro- and micro-behaviors of monodisperse ellipsoids. Zbl 1273.74055
Ng, Tang-Tat
2009
Homogenization-based analysis of anisotropic damage in brittle materials with unilateral effect and interactions between microcracks. Zbl 1273.74419
Zhu, Q. Z.; Kondo, D.; Shao, J. F.
2009
Some numerical issues using element-free Galerkin mesh-less method for coupled hydro-mechanical problems. Zbl 1273.74567
Oliaei, Mohammad Norouz; Soga, Kenichi; Pak, Ali
2009
Micromechanical analysis of failure propagation in frictional granular materials. Zbl 1273.74060
Tordesillas, Antoinette; Shi, Jingyu
2009
Dynamic displacement and stress solutions for viscoelastic half-spaces subjected to harmonic concentrated loads using the Radon and Fourier transforms. Zbl 1273.74287
Mesquita, Euclides; Adolph, Marco; Carvalho, Edson Rodrigues; Romanini, Edivaldo
2009
Optimization framework for calibration of constitutive models enhanced by neural networks. Zbl 1272.74463
Obrzud, Rafał F.; Vulliet, Laurent; Truty, Andrzej
2009
Thermal reservoir modeling in petroleum geomechanics. Zbl 1273.74092
Yin, Shunde; Dusseault, Maurice B.; Rothenburg, Leo
2009
Dynamics of unsaturated soils using various finite element formulations. Zbl 1273.74301
Ravichandran, Nadarajah; Muraleetharan, Kanthasamy K.
2009
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
2009
Consolidation around stone columns. Influence of column deformation. Zbl 1273.74214
Castro, Jorge; Sagaseta, César
2009
Predictions of large stress reversals in true triaxial tests on cross-anisotropic sand. Zbl 1273.74236
Gutta, Suresh K.; Yamamuro, Jerry A.; Lade, Poul V.
2009
Modeling crack propagation path of anisotropic rocks using boundary element method. Zbl 1273.74250
Ke, Chien-Chung; Chen, Chao-Shi; Ku, Cheng-Yu; Chen, Chih-Hao
2009
Transient solution for multilayered poroviscoelastic media obtained by an exact stiffness matrix formulation. Zbl 1273.74286
Mesgouez, A.; Lefeuve-Mesgouez, G.
2009
Statistical inverse analysis based on genetic algorithm and principal component analysis: Method and developments using synthetic data. Zbl 1168.74357
Levasseur, S.; Malecot, Y.; Boulon, M.; Flavigny, E.
2009
Mechanical properties of granular materials: A variational approach to grain-scale simulations. Zbl 1272.74109
Holtzman, R.; Silin, D. B.; Patzek, T. W.
2009
Bending of fluid-saturated linear poroelastic beams with compressible constituents. Zbl 1273.74166
Wang, Zhi-Hua; Prévost, Jean H.; Coussy, Olivier
2009
A multiscale modeling of damage and time-dependent behavior of cohesive rocks. Zbl 1273.74234
Guéry, A. Abou-Chakra; Cormery, F.; Shao, J. F.; Kondo, D.
2009
Rotational kinematic hardening model for three-dimensional stress reversals in sand. Zbl 1273.74260
Lade, Poul V.; Yamamuro, Jerry A.; Gutta, Suresh K.
2009
Vertical dynamic response of pile in a radially heterogeneous soil layer. Zbl 1273.74324
Yang, D. Y.; Wang, K. H.; Zhang, Z. Q.; Leo, Chin Jian
2009
Bifurcation modeling in geomaterials: from the second-order work criterion to spectral analyses. Zbl 1273.74192
Prunier, F.; Laouafa, F.; Lignon, S.; Darve, F.
2009
Bearing capacity factor $$N_{c}$$ under $$\phi =0$$ condition for piles in clays. Zbl 1273.74253
Khatri, Vishwas N.; Kumar, Jyant
2009
Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer. Zbl 1273.74212
Cai, Y. Q.; Hu, X. Q.; Xu, C. J.; Hong, Z. S.
2009
A three-dimensional integral equation model for calculating poro- and thermoelastic stresses induced by cold water injection into a geothermal reservoir. Zbl 1273.74196
Zhou, X. X.; Ghassemi, A.; Cheng, A. H.-D.
2009
Improved Bell’s method for the stability analysis of slopes. Zbl 1273.74333
Zheng, Hong; Tham, Leslie George
2009
Equal strain consolidation for stone columns reinforced foundation. Zbl 1273.74319
Xie, Kanghe; Lu, Mengmeng; Liu, Ganbin
2009
Observations on the extended Matsuoka-Nakai failure criterion. Zbl 1273.74233
Griffiths, D. V.; Huang, Jinsong
2009
Considerations of the discontinuous deformation analysis on wave propagation problems. Zbl 1168.74382
Gu, Jiong; Zhao, Zhiye
2009
Theoretical investigation of the effects of consolidation on contaminant transport through clay barriers. Zbl 1272.74459
Lewis, T. W.; Pivonka, P.; Smith, D. W.
2009
On a multilaminate model for soil incorporating small strain stiffness. Zbl 1272.74466
Scharinger, Florian; Schweiger, Helmut F.; Pande, Gyan N.
2009
...and 817 more Documents
all top 5

#### Cited by 3,852 Authors

 34 Selvadurai, A. Patrick S. 33 Ai, Zhiyong 33 Borja, Ronaldo I. 24 Zheng, Hong 23 Zhao, Chongbin 19 de Borst, René 19 Ferronato, Massimiliano 18 Schrefler, Bernhard A. 17 Hobbs, Bruce E. 16 Cervera, Miguel 16 Mühlhaus, Hans-Bernd 16 Tejchman, Jacek 15 Ord, Alison 14 Darve, Félix 14 de Buhan, Patrick 14 Khoei, Amir R. 14 Sloan, Scott W. 13 Chiumenti, Michele 13 Pesavento, Francesco 12 Gawin, Dariusz 12 Gupta, Shishir 12 Prevost, Jean-Herve 12 Rabczuk, Timon 12 Sheng, Daichao 12 Sun, WaiChing 11 Chattopadhyay, Amares 11 Dormieux, Luc 11 Krabbenhøft, Kristian 11 Li, Xikui 11 Manolis, George D. 11 Zhang, Hongwu 10 Gambolati, Giuseppe 10 Linkov, Aleksandr M. 10 Nicot, François 10 Pastor, Manuel 9 Dineva, Petia S. 9 Mang, Herbert A. 9 Nguyen, Giang D. 9 Osinov, Vladimir A. 9 Pastor, Joseph 9 Sluys, Lambertus Johannes 9 Tordesillas, Antoinette A. 9 Yin, ZhenYu 8 Choo, Jinhyun 8 Ehlers, Wolfgang 8 Gajo, Alessandro 8 Hassen, Ghazi 8 Hicher, Pierre-Yves 8 Janna, Carlo 8 Le Van Canh 8 Loret, Benjamin 8 Lu, Jianfei 8 Meschke, Günther 8 Oliver, Javier 8 Pastor, Franck 8 Peirce, Anthony P. 8 Regueiro, Richard A. 8 Vardoulakis, Ioannis G. 8 Wang, Jianhua 8 Yang, Yongtao 7 Castelletto, Nicola 7 Chandler, Howard W. 7 Cheng, Yi Chong 7 Cleary, Paul W. 7 Gatmiri, Behrouz 7 Hellmich, Christian 7 Ibrahimbegović, Adnan 7 Jeng, Dongsheng 7 Khalili, Nasser 7 Kumar, Jyant 7 Labaki, Josue 7 Liang, Jianwen 7 Mesquita, Euclides 7 Mira, Pablo 7 Murad, Márcio Arab 7 Pak, Ronald Y. S. 7 Pan, Ernian 7 Runesson, Kenneth 7 Sands, Christine M. 7 Simoni, Luciano 7 Svanadze, Merab Zh. 7 Tchelepi, Hamdi A. 7 Venturini, Wilson Sergio 7 Wang, Cheng-Der 7 Wang, Kun 7 Wang, Lujun 7 Wrobel, Michal 7 Zienkiewicz, Olgierd Cecil 6 Abousleiman, Younane N. 6 Andrade, José E. 6 Askes, Harm 6 Ba, Zhenning 6 Benallal, Ahmed 6 Carpinteri, Alberto 6 Chambon, René Pierre Henri 6 Cheng, Alexander H.-D. 6 Codina, Ramon 6 Deeks, Andrew J. 6 Degrande, Geert 6 Detournay, Emmanuel ...and 3,752 more Authors
all top 5

#### Cited in 150 Journals

 367 Computer Methods in Applied Mechanics and Engineering 311 International Journal for Numerical and Analytical Methods in Geomechanics 144 International Journal for Numerical Methods in Engineering 143 Engineering Analysis with Boundary Elements 137 Applied Mathematical Modelling 104 Computational Mechanics 95 Acta Mechanica 70 International Journal of Solids and Structures 56 International Journal of Engineering Science 53 European Journal of Mechanics. A. Solids 49 Mathematical Problems in Engineering 48 Computational Geosciences 46 Journal of the Mechanics and Physics of Solids 43 Engineering Computations 42 Applied Mathematics and Mechanics. (English Edition) 38 Granular Matter 36 Meccanica 33 International Journal of Computational Methods 32 Communications in Numerical Methods in Engineering 27 Journal of Computational Physics 26 Archive of Applied Mechanics 23 Journal of Engineering Mathematics 22 Journal of Fluid Mechanics 21 Continuum Mechanics and Thermodynamics 20 Acta Mechanica Sinica 19 Archives of Computational Methods in Engineering 19 International Journal of Fracture 18 Computers and Fluids 18 Computers & Mathematics with Applications 18 Mathematics and Mechanics of Solids 17 Mechanics Research Communications 16 Wave Motion 16 Journal of Computational and Applied Mathematics 15 International Journal of Plasticity 13 Applied Mathematics and Computation 12 Science China. Technological Sciences 10 Mathematical and Computer Modelling 10 Journal of Elasticity 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 International Journal of Heat and Mass Transfer 8 Journal of Applied Mathematics 7 International Journal for Numerical Methods in Fluids 7 Science in China. Series E 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Journal of Zhejiang University. Science A 7 International Journal for Numerical Methods in Biomedical Engineering 7 AMM. Applied Mathematics and Mechanics. (English Edition) 6 Mathematics and Computers in Simulation 6 Physics of Fluids 6 European Journal of Mechanics. B. Fluids 6 Sādhanā 6 GEM - International Journal on Geomathematics 5 Journal of Mathematical Analysis and Applications 5 Applied Numerical Mathematics 5 Advances in Engineering Software 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Applied Mathematics and Mechanics 4 Mathematical Methods in the Applied Sciences 4 Theory and Decision 4 Numerical Methods for Partial Differential Equations 4 Journal of Non-Newtonian Fluid Mechanics 4 Journal of Vibration and Control 4 Journal of Applied Mechanics and Technical Physics 4 Mathematical Geosciences 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Prikladnaya Matematika i Mekhanika 3 Physica D 3 Journal of Scientific Computing 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 Acta Mechanica Sinica. (English Edition) 3 SIAM Journal on Scientific Computing 3 Mathematical Geology 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Inverse Problems in Science and Engineering 2 Archives of Mechanics 2 Computer Physics Communications 2 Fluid Dynamics 2 Ingenieur-Archiv 2 Physica A 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Chaos, Solitons and Fractals 2 Journal of Theoretical and Applied Mechanics (Sofia) 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ricerche di Matematica 2 Acta Applicandae Mathematicae 2 Computer Aided Geometric Design 2 Finite Elements in Analysis and Design 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Algorithms 2 Advances in Mathematical Physics 2 ISRN Applied Mathematics 2 International Journal of Applied and Computational Mathematics 1 Archive for Rational Mechanics and Analysis ...and 50 more Journals
all top 5

#### Cited in 40 Fields

 2,065 Mechanics of deformable solids (74-XX) 690 Fluid mechanics (76-XX) 428 Numerical analysis (65-XX) 182 Geophysics (86-XX) 93 Classical thermodynamics, heat transfer (80-XX) 88 Partial differential equations (35-XX) 35 Operations research, mathematical programming (90-XX) 26 Biology and other natural sciences (92-XX) 17 Computer science (68-XX) 17 Mechanics of particles and systems (70-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Statistics (62-XX) 7 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX)