Edit Profile Fosdick, Roger L. Compute Distance To: Compute Author ID: fosdick.roger-l Published as: Fosdick, R.; Fosdick, R. L.; Fosdick, Roger; Fosdick, Roger L. Documents Indexed: 117 Publications since 1963, including 4 Books Biographic References: 3 Publications all top 5 Co-Authors 21 single-authored 10 Carfagni, Gianni Royer 9 Royer-Carfagni, Gianni F. 8 Fried, Eliot 6 Dunn, J. Ernest 6 Yu, Jang-Horng 5 Macsithigh, G. P. 4 Aguiar, Adair Roberto 4 Chen, Yichao 4 Rajagopal, Kumbakonam Ramamani 4 Serrin, James 4 Zhang, Ying 3 Foti, Pilade 3 Fraddosio, Aguinaldo 3 Ketema, Yohannes 3 Mason, Darren E. 3 Piccioni, Mario Daniele 2 Bernstein, Barry 2 Hertog, Brian 2 Joseph, Daniel D. 2 Kao, B. G. 2 Marzano, Salvatore 2 Schuler, Karl W. 2 Tang, Huang 2 Tortorelli, Daniel A. 1 Balan, Corneliu 1 Beavers, Gordon S. 1 Bělík, Pavel 1 Buonsanti, Michele 1 Edelstein, Warren S. 1 Freddi, Francesco 1 Granieri, Luca 1 James, Richard D. 1 Maddalena, Francesco 1 Man, Chi-Sing 1 Murphy, Jeremiah G. 1 Patiño, Jorge G. S. 1 Polignone Warne, Debra 1 Puglisi, Giuseppe 1 Saccomandi, Giuseppe 1 Shield, Richard Thorpe 1 Šilhavý, Miroslav 1 Simmonds, James G. 1 Sivaloganathan, Jeyabal 1 Slemrod, Marshall 1 Steigmann, David J. 1 Straughan, Brian 1 Truesdell, Clifford Ambrose III 1 Truskinovsky, Lev 1 Virga, Epifanio G. 1 Volkmann, Eric 1 Warner, William H. 1 Weinberger, Hans Felix 1 Wineman, Alan S. all top 5 Serials 39 Journal of Elasticity 16 Archive for Rational Mechanics and Analysis 8 International Journal of Non-Linear Mechanics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 International Journal of Engineering Science 5 International Journal of Solids and Structures 5 Mathematics and Mechanics of Solids 4 Quarterly of Applied Mathematics 4 Continuum Mechanics and Thermodynamics 2 Acta Mechanica 2 Journal of the Mechanics and Physics of Solids 2 Rheologica Acta 2 Meccanica 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 SIAM Journal on Applied Mathematics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematics and Mechanics 1 The IMA Volumes in Mathematics and its Applications all top 5 Fields 83 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 10 History and biography (01-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 94 Publications have been cited 966 times in 705 Documents Cited by ▼ Year ▼ Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001Dunn, J. Ernest; Fosdick, Roger L. 199 1974 Anomalous features in the model of ”second order fluids”. Zbl 0427.76006Fosdick, R. L.; Rajagopal, K. R. 115 1979 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002Fosdick, R. L.; Rajagopal, K. R. 113 1980 Helical shear of an elastic, circular tube with a non-convex stored energy. Zbl 0529.73007Fosdick, R. L.; MacSithigh, G. 24 1983 Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005Fosdick, R. L.; Rajagopal, K. R. 22 1978 Rectilinear steady flow of simple fluids. Zbl 0261.76001Fosdick, R. L.; Serrin, J. 22 1973 The morphology and stability of material phases. Zbl 0434.73120Dunn, J. Ernest; Fosdick, Roger L. 19 1980 On Ericksen’s problem for plane deformations with uniform transverse stretch. Zbl 0165.27602Fosdick, R. L.; Schuler, K. W. 19 1969 Dynamically possible motions of incompressible, isotropic, simple materials. Zbl 0164.27305Fosdick, R. L. 19 1968 Minimization in incompressible nonlinear elasticity theory. Zbl 0616.73026Fosdick, R. L.; MacSithigh, G. P. 18 1986 The elastica and the problem of the pure bending for a non-convex stored energy function. Zbl 0481.73018Fosdick, R. L.; James, R. D. 17 1981 Global properties of continuum thermodynamic processes. Zbl 0332.73004Fosdick, Roger L.; Serrin, James 15 1975 A Stokes theorem for second-order tensor fields and its implications in continuum mechanics. Zbl 1349.74048Fosdick, Roger; Royer-Carfagni, Gianni 13 2005 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007Fosdick, R. L.; Serrin, J. 13 1979 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003Aguiar, Adair R.; Fosdick, Roger 12 2014 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. I: Differential type solids of second grade. Zbl 0859.73008Fosdick, Roger L.; Yu, Jang-Horng 12 1996 The free surface on a liquid between cylinders rotating at different speeds. I. Zbl 0265.76113Joseph, Daniel D.; Fosdick, Roger L. 12 1973 A note on uniqueness in linear elastostatics. Zbl 1115.74023Fosdick, Roger; Piccioni, M. D.; Puglisi, G. 11 2007 Transverse deformations associated with rectilinear shear in elastic solids. Zbl 0393.73041Fosdick, R. L.; Kao, B. G. 11 1978 The free surface on a liquid between cylinders rotating at different speeds. II. Zbl 0265.76114Joseph, Daniel D.; Beavers, Gordon S.; Fosdick, Roger L. 11 1973 Electrodynamics and thermomechanics of material bodies. Zbl 1147.74020Fosdick, Roger; Tang, Huang 10 2007 A variational proof of the stress theorem of Cauchy. Zbl 0658.73002Fosdick, Roger L.; Virga, Epifanio G. 10 1989 A note on on-uniqueness in linear elasticity theory. Zbl 0172.49803Edelstein, W. S.; Fosdick, R. L. 10 1968 The constraint of local injectivity in linear elasticity theory. Zbl 1044.74003Fosdick, Roger; Royer-Carfagni, Gianni 9 2001 Small bending of a circular bar superposed on finite extension or compression. Zbl 0108.37102Fosdick, R. L.; Shield, R. T. 9 1963 Observations concerning virtual power. Zbl 1269.74013Fosdick, Roger 7 2011 A lower bound estimate of the critical load for compressible elastic solids. Zbl 1234.74014Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Piccioni, Mario Daniele 7 2010 Surface transport in continuum mechanics. Zbl 1197.74012Fosdick, Roger; Tang, Huang 7 2009 On a model of nonlocal continuum mechanics. I: Existence and regularity. Zbl 0923.73003Fosdick, Roger L.; Mason, Darren E. 7 1998 The mechanics of ribbons and Möbius bands. Zbl 1320.74006Fosdick, Roger (ed.); Fried, Eliot (ed.) 6 2016 Chemomechanical equilibrium of bars. Zbl 1158.74403Buonsanti, Michele; Fosdick, Roger; Royer-Carfagni, Gianni 6 2006 The state of pure shear. Zbl 0938.74007Bělík, Pavel; Fosdick, Roger 6 1998 The torsion problem for a nonconvex stored energy function. Zbl 0803.73016Fosdick, Roger; Zhang, Ying 6 1993 Statically possible radially symmetric deformations in isotropic, incompressible elastic solids. Zbl 0265.73034Fosdick, Roger L. 6 1971 Nonuniqueness of second-order fluids under steady radial flow in annuli. Zbl 0198.29801Fosdick, R. L.; Bernstein, B. 6 1969 A generalized continuum theory with internal corner and surface contact interactions. Zbl 1348.74013Fosdick, Roger 5 2016 Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids. Zbl 1247.74018Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore 5 2010 Multiple natural states for an elastic isotropic material with polyconvex stored energy. Zbl 0992.74012Fosdick, Roger; Royer-Carfagni, Gianni 5 2000 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. II: History type solids. Zbl 0891.73026Fosdick, Roger; Yu, Jang-Horng 5 1998 Single phase energy minimizers for materials with nonlocal spatial dependence. Zbl 0840.73079Fosdick, Roger L.; Mason, Darren E. 5 1996 Normality and convexity of the yield surface in nonlinear plasticity. Zbl 0774.73026Fosdick, Roger; Volkmann, Eric 5 1993 Material symmetry and crystals. Zbl 0696.73002Fosdick, Roger L.; Hertog, Brian 5 1990 Steady, structured shock waves. I: Thermoelastic materials. Zbl 0677.73023Dunn, J. E.; Fosdick, R. L. 5 1988 Universal flows in the simplest theories of fluids. Zbl 0361.76015Fosdick, R. L.; Truesdell, C. 5 1977 Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 4 2018 Representation for a smooth isometric mapping from a connected planar domain to a surface. Zbl 1320.53006Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 4 2015 A causality approach to particle dynamics for systems. Zbl 1320.70011Fosdick, Roger 4 2013 Generalized Baker-Ericksen inequalities. Zbl 1098.74010Fosdick, R.; Šilhavý, M. 4 2006 Generalized Airy stress functions. Zbl 1034.74002Fosdick, Roger; Schuler, Karl 4 2003 Self-intersection in elasticity. Zbl 1028.74018Aguiar, Adair; Fosdick, Roger 4 2001 Vibration damping through the use of materials with memory. Zbl 0917.73027Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 4 1998 The static state of a two-phase solid mixture in a stressed elastic bar. Zbl 0909.73041Fosdick, Roger L.; Royer-Carfagni, Gianni F. 4 1996 Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords. Zbl 0768.73097Fosdick, R. L.; MacSithigh, G. P. 4 1991 Bifurcation instability in linear elasticity with the constraint of local injectivity. Zbl 1137.74025Fosdick, Roger; Freddi, Francesco; Royer-Carfagni, Gianni 3 2008 About Clapeyron’s theorem in linear elasticity. Zbl 1059.74007Fosdick, Roger; Truskinovsky, Lev 3 2003 The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. Zbl 1041.74008Fosdick, Roger; Royer-Carfagni, Gianni 3 2002 The Lagrange multiplier in incompressible elasticity theory. Zbl 0957.74005Fosdick, Roger; Royer-Carfagni, Gianni 3 1999 On a model of nonlocal continuum mechanics. II: Structure, asymptotics, and computations. Zbl 0923.73004Fosdick, Roger L.; Mason, Darren E. 3 1997 The Weierstrass condition for a special class of elastic materials. Zbl 0860.73007Dunn, J. E.; Fosdick, Roger 3 1994 Coexistent phase mixtures in the anti-plane shear of an elastic tube. Zbl 0816.73075Fosdick, Roger; Zhang, Ying 3 1994 The Maxwell relation and Eshelby’s conservation law for minimizers in elasticity theory. Zbl 0698.73008Fosdick, Roger L.; Hertog, Brian 3 1989 A plane nonlinear shear for elastic layer with a nonconvex stored energy function. Zbl 0601.73086Fosdick, R. L.; MacSithigh, G.; Rajagopal, K. R. 3 1986 Catastrophic instabilities and related results in a fluid of third grade. Zbl 0484.76011Fosdick, R. L.; Straughan, B. 3 1981 On the complete representation of biharmonic functions. Zbl 0199.16801Fosdick, Roger L. 3 1970 Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007Chen, Yi-chao; Fosdick, Roger; Fried, Eliot 2 2018 Taylor-like bifurcations for a compressible isotropic elastic tube. Zbl 1299.74065Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore; Piccioni, Mario Daniele 2 2014 Reformation instability in elastic solids. Zbl 1328.74014Fosdick, Roger; Granieri, Luca; Maddalena, Francesco 2 2012 On the “principle of virtual power” for arbitrary parts of a body. Zbl 1272.74006Fosdick, R. 2 2011 A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Zbl 1077.74005Fosdick, Roger; Royer-Carfagni, Gianni 2 2005 Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Zbl 0962.74024Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 A nonlinear oscillator with history dependent force. Zbl 0907.70013Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 Alloy separation of a binary mixture in a stressed elastic sphere. Zbl 0864.73016Fosdick, Roger; Royer-Carfagni, Gianni F. 2 1996 Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function. Zbl 0837.73016Fosdick, Roger; Zhang, Ying 2 1995 Shearing motions and the formation of shocks in an elastic circular tube. Zbl 0455.73028Fosdick, R. L.; Macsithigh, G. P. 2 1980 Lemmas in thermodynamic stability: a priori constitutive inequalities and induced global bounds on thermodynamic states. Zbl 0375.73004Dunn, J. Ernest; Fosdick, Roger L. 2 1978 On four theological relations. Zbl 0191.23402Bernstein, B.; Fosdick, R. L. 2 1970 On general measures of deformation. Zbl 0176.26103Fosdick, R. L.; Wineman, A. S. 2 1968 Hadamard’s conditions of compatibility from Cesaro’s line-integral representation. Zbl 07165858Fosdick, Roger; Royer-Carfagni, Gianni 1 2020 In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger 1 2019 Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 1 2018 Singular shear-force states in elementary plate theory. Zbl 1305.74008Fosdick, Roger; Royer-Carfagni, Gianni 1 2015 The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018Fosdick, Roger; Serrin, James 1 2014 On the motive power of chemical transformations in open systems. Zbl 1300.74017Fosdick, Roger; Royer-Carfagni, Gianni 1 2011 Stress as a constraint reaction in rigid bodies. Zbl 1058.74013Fosdick, Roger; Royer-Carfagni, Gianni 1 2004 In recognition of the 70th birthday of Piero Villaggio. Zbl 1039.01512Fosdick, Roger; Royer-Carfagni, Gianni 1 2002 A singular problem in incompressible nonlinear elastostatics. Zbl 1205.74017Aguiar, Adair R.; Fosdick, Roger L. 1 2000 A rheological model for materials which support coexistent shear rates. Zbl 1068.76504Balan, Corneliu; Fosdick, Roger 1 2000 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 A structured phase transition for the antiplane shear of an elastic circular tube. Zbl 0827.73039Fosdick, Roger; Zhang, Ying 1 1995 Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990. Zbl 0782.00063Dunn, J. E. (ed.); Fosdick, Roger (ed.); Slemrod, Marshall (ed.) 1 1993 On the Gibbsian thermostatics of mixtures. Zbl 0594.49030Fosdick, Roger; Patiño, Jorge G. S. 1 1986 Steady flow of a simple fluid around a rotating sphere. Zbl 0452.76005Fosdick, R. L.; Kao, B. G. 1 1980 A class of dynamically possible steady motions of incompressible, isotropic, simple materials. Zbl 0172.26501Fosdick, R. L. 1 1969 On the displacement boundary-value problem of static linear elasticity theory. Zbl 0159.55601Fosdick, R. L. 1 1968 Hadamard’s conditions of compatibility from Cesaro’s line-integral representation. Zbl 07165858Fosdick, Roger; Royer-Carfagni, Gianni 1 2020 In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger 1 2019 Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 4 2018 Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007Chen, Yi-chao; Fosdick, Roger; Fried, Eliot 2 2018 Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 1 2018 The mechanics of ribbons and Möbius bands. Zbl 1320.74006Fosdick, Roger (ed.); Fried, Eliot (ed.) 6 2016 A generalized continuum theory with internal corner and surface contact interactions. Zbl 1348.74013Fosdick, Roger 5 2016 Representation for a smooth isometric mapping from a connected planar domain to a surface. Zbl 1320.53006Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 4 2015 Singular shear-force states in elementary plate theory. Zbl 1305.74008Fosdick, Roger; Royer-Carfagni, Gianni 1 2015 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003Aguiar, Adair R.; Fosdick, Roger 12 2014 Taylor-like bifurcations for a compressible isotropic elastic tube. Zbl 1299.74065Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore; Piccioni, Mario Daniele 2 2014 The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018Fosdick, Roger; Serrin, James 1 2014 A causality approach to particle dynamics for systems. Zbl 1320.70011Fosdick, Roger 4 2013 Reformation instability in elastic solids. Zbl 1328.74014Fosdick, Roger; Granieri, Luca; Maddalena, Francesco 2 2012 Observations concerning virtual power. Zbl 1269.74013Fosdick, Roger 7 2011 On the “principle of virtual power” for arbitrary parts of a body. Zbl 1272.74006Fosdick, R. 2 2011 On the motive power of chemical transformations in open systems. Zbl 1300.74017Fosdick, Roger; Royer-Carfagni, Gianni 1 2011 A lower bound estimate of the critical load for compressible elastic solids. Zbl 1234.74014Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Piccioni, Mario Daniele 7 2010 Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids. Zbl 1247.74018Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore 5 2010 Surface transport in continuum mechanics. Zbl 1197.74012Fosdick, Roger; Tang, Huang 7 2009 Bifurcation instability in linear elasticity with the constraint of local injectivity. Zbl 1137.74025Fosdick, Roger; Freddi, Francesco; Royer-Carfagni, Gianni 3 2008 A note on uniqueness in linear elastostatics. Zbl 1115.74023Fosdick, Roger; Piccioni, M. D.; Puglisi, G. 11 2007 Electrodynamics and thermomechanics of material bodies. Zbl 1147.74020Fosdick, Roger; Tang, Huang 10 2007 Chemomechanical equilibrium of bars. Zbl 1158.74403Buonsanti, Michele; Fosdick, Roger; Royer-Carfagni, Gianni 6 2006 Generalized Baker-Ericksen inequalities. Zbl 1098.74010Fosdick, R.; Šilhavý, M. 4 2006 A Stokes theorem for second-order tensor fields and its implications in continuum mechanics. Zbl 1349.74048Fosdick, Roger; Royer-Carfagni, Gianni 13 2005 A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Zbl 1077.74005Fosdick, Roger; Royer-Carfagni, Gianni 2 2005 Stress as a constraint reaction in rigid bodies. Zbl 1058.74013Fosdick, Roger; Royer-Carfagni, Gianni 1 2004 Generalized Airy stress functions. Zbl 1034.74002Fosdick, Roger; Schuler, Karl 4 2003 About Clapeyron’s theorem in linear elasticity. Zbl 1059.74007Fosdick, Roger; Truskinovsky, Lev 3 2003 The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. Zbl 1041.74008Fosdick, Roger; Royer-Carfagni, Gianni 3 2002 In recognition of the 70th birthday of Piero Villaggio. Zbl 1039.01512Fosdick, Roger; Royer-Carfagni, Gianni 1 2002 The constraint of local injectivity in linear elasticity theory. Zbl 1044.74003Fosdick, Roger; Royer-Carfagni, Gianni 9 2001 Self-intersection in elasticity. Zbl 1028.74018Aguiar, Adair; Fosdick, Roger 4 2001 Multiple natural states for an elastic isotropic material with polyconvex stored energy. Zbl 0992.74012Fosdick, Roger; Royer-Carfagni, Gianni 5 2000 A singular problem in incompressible nonlinear elastostatics. Zbl 1205.74017Aguiar, Adair R.; Fosdick, Roger L. 1 2000 A rheological model for materials which support coexistent shear rates. Zbl 1068.76504Balan, Corneliu; Fosdick, Roger 1 2000 The Lagrange multiplier in incompressible elasticity theory. Zbl 0957.74005Fosdick, Roger; Royer-Carfagni, Gianni 3 1999 On a model of nonlocal continuum mechanics. I: Existence and regularity. Zbl 0923.73003Fosdick, Roger L.; Mason, Darren E. 7 1998 The state of pure shear. Zbl 0938.74007Bělík, Pavel; Fosdick, Roger 6 1998 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. II: History type solids. Zbl 0891.73026Fosdick, Roger; Yu, Jang-Horng 5 1998 Vibration damping through the use of materials with memory. Zbl 0917.73027Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 4 1998 Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Zbl 0962.74024Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 A nonlinear oscillator with history dependent force. Zbl 0907.70013Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 On a model of nonlocal continuum mechanics. II: Structure, asymptotics, and computations. Zbl 0923.73004Fosdick, Roger L.; Mason, Darren E. 3 1997 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. I: Differential type solids of second grade. Zbl 0859.73008Fosdick, Roger L.; Yu, Jang-Horng 12 1996 Single phase energy minimizers for materials with nonlocal spatial dependence. Zbl 0840.73079Fosdick, Roger L.; Mason, Darren E. 5 1996 The static state of a two-phase solid mixture in a stressed elastic bar. Zbl 0909.73041Fosdick, Roger L.; Royer-Carfagni, Gianni F. 4 1996 Alloy separation of a binary mixture in a stressed elastic sphere. Zbl 0864.73016Fosdick, Roger; Royer-Carfagni, Gianni F. 2 1996 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function. Zbl 0837.73016Fosdick, Roger; Zhang, Ying 2 1995 A structured phase transition for the antiplane shear of an elastic circular tube. Zbl 0827.73039Fosdick, Roger; Zhang, Ying 1 1995 The Weierstrass condition for a special class of elastic materials. Zbl 0860.73007Dunn, J. E.; Fosdick, Roger 3 1994 Coexistent phase mixtures in the anti-plane shear of an elastic tube. Zbl 0816.73075Fosdick, Roger; Zhang, Ying 3 1994 The torsion problem for a nonconvex stored energy function. Zbl 0803.73016Fosdick, Roger; Zhang, Ying 6 1993 Normality and convexity of the yield surface in nonlinear plasticity. Zbl 0774.73026Fosdick, Roger; Volkmann, Eric 5 1993 Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990. Zbl 0782.00063Dunn, J. E. (ed.); Fosdick, Roger (ed.); Slemrod, Marshall (ed.) 1 1993 Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords. Zbl 0768.73097Fosdick, R. L.; MacSithigh, G. P. 4 1991 Material symmetry and crystals. Zbl 0696.73002Fosdick, Roger L.; Hertog, Brian 5 1990 A variational proof of the stress theorem of Cauchy. Zbl 0658.73002Fosdick, Roger L.; Virga, Epifanio G. 10 1989 The Maxwell relation and Eshelby’s conservation law for minimizers in elasticity theory. Zbl 0698.73008Fosdick, Roger L.; Hertog, Brian 3 1989 Steady, structured shock waves. I: Thermoelastic materials. Zbl 0677.73023Dunn, J. E.; Fosdick, R. L. 5 1988 Minimization in incompressible nonlinear elasticity theory. Zbl 0616.73026Fosdick, R. L.; MacSithigh, G. P. 18 1986 A plane nonlinear shear for elastic layer with a nonconvex stored energy function. Zbl 0601.73086Fosdick, R. L.; MacSithigh, G.; Rajagopal, K. R. 3 1986 On the Gibbsian thermostatics of mixtures. Zbl 0594.49030Fosdick, Roger; Patiño, Jorge G. S. 1 1986 Helical shear of an elastic, circular tube with a non-convex stored energy. Zbl 0529.73007Fosdick, R. L.; MacSithigh, G. 24 1983 The elastica and the problem of the pure bending for a non-convex stored energy function. Zbl 0481.73018Fosdick, R. L.; James, R. D. 17 1981 Catastrophic instabilities and related results in a fluid of third grade. Zbl 0484.76011Fosdick, R. L.; Straughan, B. 3 1981 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002Fosdick, R. L.; Rajagopal, K. R. 113 1980 The morphology and stability of material phases. Zbl 0434.73120Dunn, J. Ernest; Fosdick, Roger L. 19 1980 Shearing motions and the formation of shocks in an elastic circular tube. Zbl 0455.73028Fosdick, R. L.; Macsithigh, G. P. 2 1980 Steady flow of a simple fluid around a rotating sphere. Zbl 0452.76005Fosdick, R. L.; Kao, B. G. 1 1980 Anomalous features in the model of ”second order fluids”. Zbl 0427.76006Fosdick, R. L.; Rajagopal, K. R. 115 1979 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007Fosdick, R. L.; Serrin, J. 13 1979 Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005Fosdick, R. L.; Rajagopal, K. R. 22 1978 Transverse deformations associated with rectilinear shear in elastic solids. Zbl 0393.73041Fosdick, R. L.; Kao, B. G. 11 1978 Lemmas in thermodynamic stability: a priori constitutive inequalities and induced global bounds on thermodynamic states. Zbl 0375.73004Dunn, J. Ernest; Fosdick, Roger L. 2 1978 Universal flows in the simplest theories of fluids. Zbl 0361.76015Fosdick, R. L.; Truesdell, C. 5 1977 Global properties of continuum thermodynamic processes. Zbl 0332.73004Fosdick, Roger L.; Serrin, James 15 1975 Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001Dunn, J. Ernest; Fosdick, Roger L. 199 1974 Rectilinear steady flow of simple fluids. Zbl 0261.76001Fosdick, R. L.; Serrin, J. 22 1973 The free surface on a liquid between cylinders rotating at different speeds. I. Zbl 0265.76113Joseph, Daniel D.; Fosdick, Roger L. 12 1973 The free surface on a liquid between cylinders rotating at different speeds. II. Zbl 0265.76114Joseph, Daniel D.; Beavers, Gordon S.; Fosdick, Roger L. 11 1973 Statically possible radially symmetric deformations in isotropic, incompressible elastic solids. Zbl 0265.73034Fosdick, Roger L. 6 1971 On the complete representation of biharmonic functions. Zbl 0199.16801Fosdick, Roger L. 3 1970 On four theological relations. Zbl 0191.23402Bernstein, B.; Fosdick, R. L. 2 1970 On Ericksen’s problem for plane deformations with uniform transverse stretch. Zbl 0165.27602Fosdick, R. L.; Schuler, K. W. 19 1969 Nonuniqueness of second-order fluids under steady radial flow in annuli. Zbl 0198.29801Fosdick, R. L.; Bernstein, B. 6 1969 A class of dynamically possible steady motions of incompressible, isotropic, simple materials. Zbl 0172.26501Fosdick, R. L. 1 1969 Dynamically possible motions of incompressible, isotropic, simple materials. Zbl 0164.27305Fosdick, R. L. 19 1968 A note on on-uniqueness in linear elasticity theory. Zbl 0172.49803Edelstein, W. S.; Fosdick, R. L. 10 1968 On general measures of deformation. Zbl 0176.26103Fosdick, R. L.; Wineman, A. S. 2 1968 On the displacement boundary-value problem of static linear elasticity theory. Zbl 0159.55601Fosdick, R. L. 1 1968 Small bending of a circular bar superposed on finite extension or compression. Zbl 0108.37102Fosdick, R. L.; Shield, R. T. 9 1963 all cited Publications top 5 cited Publications all top 5 Cited by 828 Authors 56 Hayat, Tasawar 40 Fosdick, Roger L. 24 Asghar, Saleem 24 Rajagopal, Kumbakonam Ramamani 18 Massoudi, Mehrdad 17 Saccomandi, Giuseppe 15 Siddiqui, Abdul Majeed 12 Ellahi, Rahmat 12 Sajid, Muhammad 10 Fried, Eliot 9 Makinde, Oluwole Daniel 8 Ariel, P. Donald 8 Ayub, Muhammad 8 Destrade, Michel 8 Erdoğan, M. Emin 8 Fetecau, Constantin 8 Neff, Patrizio 8 Wineman, Alan S. 7 Foti, Pilade 7 İmrak, C. Erdem 7 Mahomed, Fazal M. 7 Momoniat, Ebrahim 7 Pence, Thomas J. 7 Royer-Carfagni, Gianni F. 7 Steigmann, David J. 7 Titi, Edriss Saleh 7 Truskinovsky, Lev 6 Busuioc, Adriana Valentina 6 Chen, Yichao 6 Chinyoka, Tirivanhu 6 Grabovsky, Yury 6 Holm, Darryl D. 6 Joseph, Daniel D. 6 Razafimandimby, Paul André 6 Straughan, Brian 6 Zhai, Jianliang 6 Zhang, Tusheng S. 5 Carfagni, Gianni Royer 5 De Tommasi, Domenico 5 Fetecau, Corina 5 Fraddosio, Aguinaldo 5 Galdi, Giovanni Paolo 5 Javed, Tariq 5 Khan, Masood Amjad 5 Martin, Robert J. 5 Marzano, Salvatore 5 Piccioni, Mario Daniele 5 Sahoo, Bikash 4 Abbasbandy, Saeid 4 Aguiar, Adair Roberto 4 Antman, Stuart S. 4 Bustamante, Roger 4 Casey, James 4 Du, Qiang 4 Duda, Fernando Pereira 4 Dunn, J. Ernest 4 Foiaş, Ciprian Ilie 4 Goriely, Alain 4 Iftimie, Dragoş 4 James, Richard D. 4 Man, Chi-Sing 4 Marris, Andrew W. 4 Mohyuddin, Muhammad Raheel 4 Morro, Angelo 4 Phuoc, Tran X. 4 Puglisi, Giuseppe 4 Sango, Mamadou 4 Shahzad, Faisal 4 Šilhavý, Miroslav 4 Spector, Scott J. 4 Steinmann, Paul 4 Vaidya, Ashwin 4 Virga, Epifanio G. 4 Yurusoy, Muhammet 3 Abbas, Zaheer 3 Abel, M. Subhas 3 Abelman, Shirley 3 Ali, Nasir 3 Blume, Janet A. 3 Capriz, Gianfranco 3 Chen, Shiyi 3 Cipriano, Fernanda 3 dell’Isola, Francesco 3 Fakhar, Kamran 3 Ganji, Davood Domiri 3 Ghiba, Ionel-Dumitrel 3 Girault, Vivette 3 Haroon, Tahira 3 Horgan, Cornelius Oliver 3 Hsiao, Kai-Long 3 Javili, Ali 3 Kara, Abdul Hamid 3 Lopes Filho, Milton da Costa 3 Nadeem, Sohail 3 Nandeppanavar, Mahantesh M. 3 Nawaz, Mohammad 3 Nussenzveig Lopes, Helena Judith 3 Ogden, Raymond William 3 Olson, Eric J. 3 Paicu, Marius ...and 728 more Authors all top 5 Cited in 129 Serials 105 Journal of Elasticity 59 Archive for Rational Mechanics and Analysis 45 International Journal of Engineering Science 38 Mathematics and Mechanics of Solids 36 Acta Mechanica 25 Nonlinear Analysis. Real World Applications 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Meccanica 20 Continuum Mechanics and Thermodynamics 19 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 15 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Mathematical Analysis and Applications 10 Journal of the Mechanics and Physics of Solids 10 Mathematical and Computer Modelling 9 Journal of Differential Equations 9 Physica D 9 Mathematical Problems in Engineering 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 International Journal for Numerical Methods in Fluids 6 Applied Mathematics and Mechanics. (English Edition) 6 Applied Mathematical Modelling 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Engineering Mathematics 5 Mathematical Methods in the Applied Sciences 5 Journal of Optimization Theory and Applications 5 Journal of Nonlinear Science 5 International Journal of Numerical Methods for Heat & Fluid Flow 4 Rheologica Acta 4 Wave Motion 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Acta Mechanica Sinica 3 Applicable Analysis 3 International Journal of Heat and Mass Transfer 3 Journal of Fluid Mechanics 3 Theoretical and Computational Fluid Dynamics 3 Mechanics Research Communications 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Physics of Fluids 3 Journal of Mathematical Sciences (New York) 3 Nonlinear Dynamics 3 Journal of Applied Mechanics and Technical Physics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Sādhanā 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Applied and Computational Mathematics 2 International Journal of Modern Physics B 2 International Journal of Solids and Structures 2 Mathematical Biosciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Advances in Applied Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Non-Equilibrium Thermodynamics 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. A. Solids 2 European Journal of Mechanics. B. Fluids 2 Journal of Statistical Mechanics: Theory and Experiment 2 Boundary Value Problems 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 Geophysical and Astrophysical Fluid Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Physics Letters. A 1 Shock Waves 1 Prikladnaya Matematika i Mekhanika 1 Soviet Applied Mechanics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Mathematika 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Computational Mechanics 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 29 more Serials all top 5 Cited in 30 Fields 347 Fluid mechanics (76-XX) 327 Mechanics of deformable solids (74-XX) 121 Partial differential equations (35-XX) 84 Classical thermodynamics, heat transfer (80-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 28 Numerical analysis (65-XX) 16 Probability theory and stochastic processes (60-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Differential geometry (53-XX) 13 Biology and other natural sciences (92-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 6 History and biography (01-XX) 6 Integral equations (45-XX) 5 Real functions (26-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Topological groups, Lie groups (22-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) Citations by Year