Edit Profile (opens in new tab) Fosdick, Roger L. Co-Author Distance Author ID: fosdick.roger-l Published as: Fosdick, Roger; Fosdick, R. L.; Fosdick, Roger L.; Fosdick, R. more...less Documents Indexed: 114 Publications since 1963, including 1 Additional arXiv Preprint 10 Contributions as Editor · 2 Further Contributions Biographic References: 3 Publications Co-Authors: 53 Co-Authors with 85 Joint Publications 1,176 Co-Co-Authors all top 5 Co-Authors 24 single-authored 10 Fried, Eliot 6 Dunn, J. Ernest 6 Yu, Jang-Horng 5 Chen, Yichao 5 Macsithigh, G. P. 4 Aguiar, Adair Roberto 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 3 Royer-Carfagni, Gianni F. 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 Acharya, Amit 1 Băeşu, Eveline A. 1 Balan, Corneliu 1 Beavers, Gordon S. 1 Bělík, Pavel 1 Bourdin, Blaise 1 Buonsanti, Michele 1 Del Piero, Gianpietro 1 Edelstein, Warren S. 1 Francfort, Gilles A. 1 Freddi, Francesco 1 Granieri, Luca 1 James, Richard D. 1 Maddalena, Francesco 1 Man, Chi-Sing 1 Marigo, Jean-Jacques 1 Murphy, Jeremiah G. 1 Patiño, Jorge G. S. 1 Polignone Warne, Debra 1 Royer-Carfagni, Gianni 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 44 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 6 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 86 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 11 History and biography (01-XX) 10 General and overarching topics; collections (00-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 3 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 Open 97 Publications have been cited 1,089 times in 789 Documents Cited by ▼ Year ▼ Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001 Dunn, J. Ernest; Fosdick, Roger L. 219 1974 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002 Fosdick, R. L.; Rajagopal, K. R. 128 1980 Anomalous features in the model of ”second order fluids”. Zbl 0427.76006 Fosdick, R. L.; Rajagopal, K. R. 117 1979 Rectilinear steady flow of simple fluids. Zbl 0261.76001 Fosdick, R. L.; Serrin, J. 26 1973 Helical shear of an elastic, circular tube with a non-convex stored energy. Zbl 0529.73007 Fosdick, R. L.; MacSithigh, G. 25 1983 Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005 Fosdick, R. L.; Rajagopal, K. R. 23 1978 Dynamically possible motions of incompressible, isotropic, simple materials. Zbl 0164.27305 Fosdick, R. L. 22 1968 Minimization in incompressible nonlinear elasticity theory. Zbl 0616.73026 Fosdick, R. L.; MacSithigh, G. P. 22 1986 The morphology and stability of material phases. Zbl 0434.73120 Dunn, J. Ernest; Fosdick, Roger L. 21 1980 On Ericksen’s problem for plane deformations with uniform transverse stretch. Zbl 0165.27602 Fosdick, R. L.; Schuler, K. W. 19 1969 The elastica and the problem of the pure bending for a non-convex stored energy function. Zbl 0481.73018 Fosdick, R. L.; James, R. D. 17 1981 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003 Aguiar, Adair R.; Fosdick, Roger 16 2014 Global properties of continuum thermodynamic processes. Zbl 0332.73004 Fosdick, Roger L.; Serrin, James 15 1975 A Stokes theorem for second-order tensor fields and its implications in continuum mechanics. Zbl 1349.74048 Fosdick, Roger; Royer-Carfagni, Gianni 14 2005 The free surface on a liquid between cylinders rotating at different speeds. I. Zbl 0265.76113 Joseph, Daniel D.; Fosdick, Roger L. 14 1973 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. I: Differential type solids of second grade. Zbl 0859.73008 Fosdick, Roger L.; Yu, Jang-Horng 13 1996 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007 Fosdick, R. L.; Serrin, J. 13 1979 A note on uniqueness in linear elastostatics. Zbl 1115.74023 Fosdick, Roger; Piccioni, M. D.; Puglisi, G. 12 2007 The free surface on a liquid between cylinders rotating at different speeds. II. Zbl 0265.76114 Joseph, Daniel D.; Beavers, Gordon S.; Fosdick, Roger L. 12 1973 Transverse deformations associated with rectilinear shear in elastic solids. Zbl 0393.73041 Fosdick, R. L.; Kao, B. G. 12 1978 Electrodynamics and thermomechanics of material bodies. Zbl 1147.74020 Fosdick, Roger; Tang, Huang 12 2007 A variational proof of the stress theorem of Cauchy. Zbl 0658.73002 Fosdick, Roger L.; Virga, Epifanio G. 11 1989 The constraint of local injectivity in linear elasticity theory. Zbl 1044.74003 Fosdick, Roger; Royer-Carfagni, Gianni 11 2001 A note on on-uniqueness in linear elasticity theory. Zbl 0172.49803 Edelstein, W. S.; Fosdick, R. L. 11 1968 The mechanics of ribbons and Möbius bands. Zbl 1320.74006 10 2016 Small bending of a circular bar superposed on finite extension or compression. Zbl 0108.37102 Fosdick, R. L.; Shield, R. T. 9 1963 On a model of nonlocal continuum mechanics. I: Existence and regularity. Zbl 0923.73003 Fosdick, Roger L.; Mason, Darren E. 8 1998 The torsion problem for a nonconvex stored energy function. Zbl 0803.73016 Fosdick, Roger; Zhang, Ying 8 1993 A generalized continuum theory with internal corner and surface contact interactions. Zbl 1348.74013 Fosdick, Roger 8 2016 Observations concerning virtual power. Zbl 1269.74013 Fosdick, Roger 8 2011 Surface transport in continuum mechanics. Zbl 1197.74012 Fosdick, Roger; Tang, Huang 8 2009 The state of pure shear. Zbl 0938.74007 Bělík, Pavel; Fosdick, Roger 7 1998 Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords. Zbl 0768.73097 Fosdick, R. L.; MacSithigh, G. P. 7 1991 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. II: History type solids. Zbl 0891.73026 Fosdick, Roger; Yu, Jang-Horng 7 1998 Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 7 2018 A lower bound estimate of the critical load for compressible elastic solids. Zbl 1234.74014 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Piccioni, Mario Daniele 6 2010 Multiple natural states for an elastic isotropic material with polyconvex stored energy. Zbl 0992.74012 Fosdick, Roger; Royer-Carfagni, Gianni 6 2000 Statically possible radially symmetric deformations in isotropic, incompressible elastic solids. Zbl 0265.73034 Fosdick, Roger L. 6 1971 Chemomechanical equilibrium of bars. Zbl 1158.74403 Buonsanti, Michele; Fosdick, Roger; Royer-Carfagni, Gianni 6 2006 Normality and convexity of the yield surface in nonlinear plasticity. Zbl 0774.73026 Fosdick, Roger; Volkmann, Eric 6 1993 Nonuniqueness of second-order fluids under steady radial flow in annuli. Zbl 0198.29801 Fosdick, R. L.; Bernstein, B. 6 1969 A causality approach to particle dynamics for systems. Zbl 1320.70011 Fosdick, Roger 6 2013 Steady, structured shock waves. I: Thermoelastic materials. Zbl 0677.73023 Dunn, J. E.; Fosdick, R. L. 5 1988 Single phase energy minimizers for materials with nonlocal spatial dependence. Zbl 0840.73079 Fosdick, Roger L.; Mason, Darren E. 5 1996 Universal flows in the simplest theories of fluids. Zbl 0361.76015 Fosdick, R. L.; Truesdell, C. 5 1977 Generalized Airy stress functions. Zbl 1034.74002 Fosdick, Roger; Schuler, Karl 5 2003 Generalized Baker-Ericksen inequalities. Zbl 1098.74010 Fosdick, R.; Šilhavý, M. 5 2006 Material symmetry and crystals. Zbl 0696.73002 Fosdick, Roger L.; Hertog, Brian 5 1990 Bifurcation instability in linear elasticity with the constraint of local injectivity. Zbl 1137.74025 Fosdick, Roger; Freddi, Francesco; Royer-Carfagni, Gianni 5 2008 Representation for a smooth isometric mapping from a connected planar domain to a surface. Zbl 1320.53006 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 5 2015 Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007 Chen, Yi-chao; Fosdick, Roger; Fried, Eliot 5 2018 Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids. Zbl 1247.74018 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore 5 2010 The Lagrange multiplier in incompressible elasticity theory. Zbl 0957.74005 Fosdick, Roger; Royer-Carfagni, Gianni 4 1999 The static state of a two-phase solid mixture in a stressed elastic bar. Zbl 0909.73041 Fosdick, Roger L.; Royer-Carfagni, Gianni F. 4 1996 On a model of nonlocal continuum mechanics. II: Structure, asymptotics, and computations. Zbl 0923.73004 Fosdick, Roger L.; Mason, Darren E. 4 1997 Self-intersection in elasticity. Zbl 1028.74018 Aguiar, Adair; Fosdick, Roger 4 2001 Vibration damping through the use of materials with memory. Zbl 0917.73027 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 4 1998 A plane nonlinear shear for elastic layer with a nonconvex stored energy function. Zbl 0601.73086 Fosdick, R. L.; MacSithigh, G.; Rajagopal, K. R. 4 1986 About Clapeyron’s theorem in linear elasticity. Zbl 1059.74007 Fosdick, Roger; Truskinovsky, Lev 4 2003 The Maxwell relation and Eshelby’s conservation law for minimizers in elasticity theory. Zbl 0698.73008 Fosdick, Roger L.; Hertog, Brian 4 1989 Coexistent phase mixtures in the anti-plane shear of an elastic tube. Zbl 0816.73075 Fosdick, Roger; Zhang, Ying 4 1994 On the complete representation of biharmonic functions. Zbl 0199.16801 Fosdick, Roger L. 4 1970 The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. Zbl 1041.74008 Fosdick, Roger; Royer-Carfagni, Gianni 4 2002 Catastrophic instabilities and related results in a fluid of third grade. Zbl 0484.76011 Fosdick, R. L.; Straughan, B. 3 1981 A nonlinear oscillator with history dependent force. Zbl 0907.70013 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 3 1998 Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function. Zbl 0837.73016 Fosdick, Roger; Zhang, Ying 3 1995 Alloy separation of a binary mixture in a stressed elastic sphere. Zbl 0864.73016 Fosdick, Roger; Royer-Carfagni, Gianni F. 3 1996 On general measures of deformation. Zbl 0176.26103 Fosdick, R. L.; Wineman, A. S. 3 1968 Shearing motions and the formation of shocks in an elastic circular tube. Zbl 0455.73028 Fosdick, R. L.; Macsithigh, G. P. 3 1980 The Weierstrass condition for a special class of elastic materials. Zbl 0860.73007 Dunn, J. E.; Fosdick, Roger 3 1994 On the “principle of virtual power” for arbitrary parts of a body. Zbl 1272.74006 Fosdick, R. 3 2011 Hadamard’s conditions of compatibility from Cesaro’s line-integral representation. Zbl 1476.53121 Fosdick, Roger; Royer-Carfagni, Gianni 3 2020 Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Zbl 0962.74024 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Zbl 1077.74005 Fosdick, Roger; Royer-Carfagni, Gianni 2 2005 A structured phase transition for the antiplane shear of an elastic circular tube. Zbl 0827.73039 Fosdick, Roger; Zhang, Ying 2 1995 On four theological relations. Zbl 0191.23402 Bernstein, B.; Fosdick, R. L. 2 1970 Stress as a constraint reaction in rigid bodies. Zbl 1058.74013 Fosdick, Roger; Royer-Carfagni, Gianni 2 2004 Lemmas in thermodynamic stability: a priori constitutive inequalities and induced global bounds on thermodynamic states. Zbl 0375.73004 Dunn, J. Ernest; Fosdick, Roger L. 2 1978 Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990. Zbl 0782.00063 2 1993 Taylor-like bifurcations for a compressible isotropic elastic tube. Zbl 1299.74065 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore; Piccioni, Mario Daniele 2 2014 Singular shear-force states in elementary plate theory. Zbl 1305.74008 Fosdick, Roger; Royer-Carfagni, Gianni 2 2015 The variational approach to fracture. With a foreword by Roger Fosdick. Reprinted from Journal of Elasticity 91, No. 1-3 (2008). Zbl 1425.74004 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 2 2008 Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 2 2018 A variational approach to fracture and other inelastic phenomena. Notes based on the first Sperlonga summer school on mechanics and engineering sciences, Sperlonga, Italy, September 2011. With a foreword by Roger Fosdick. Reprinted from the Journal of Elasticity 112, No. 1, 2013. Zbl 1275.74001 2 2014 Reformation instability in elastic solids. Zbl 1328.74014 Fosdick, Roger; Granieri, Luca; Maddalena, Francesco 2 2012 A singular problem in incompressible nonlinear elastostatics. Zbl 1205.74017 Aguiar, Adair R.; Fosdick, Roger L. 1 2000 In recognition of the 70th birthday of Piero Villaggio. Zbl 1039.01512 Fosdick, Roger; Royer-Carfagni, Gianni 1 2002 On the displacement boundary-value problem of static linear elasticity theory. Zbl 0159.55601 Fosdick, R. L. 1 1968 A class of dynamically possible steady motions of incompressible, isotropic, simple materials. Zbl 0172.26501 Fosdick, R. L. 1 1969 On the Gibbsian thermostatics of mixtures. Zbl 0594.49030 Fosdick, Roger; Patiño, Jorge G. S. 1 1986 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024 Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Steady flow of a simple fluid around a rotating sphere. Zbl 0452.76005 Fosdick, R. L.; Kao, B. G. 1 1980 The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018 Fosdick, Roger; Serrin, James 1 2014 A rheological model for materials which support coexistent shear rates. Zbl 1068.76504 Balan, Corneliu; Fosdick, Roger 1 2000 Erratum to: “Hadamard’s conditions of compatibility from Cesaro’s line-integral representation”. Zbl 07228676 Fosdick, Roger; Royer-Carfagni, Gianni 1 2020 On the motive power of chemical transformations in open systems. Zbl 1300.74017 Fosdick, Roger; Royer-Carfagni, Gianni 1 2011 In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017 Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger 1 2019 Hadamard’s conditions of compatibility from Cesaro’s line-integral representation. Zbl 1476.53121 Fosdick, Roger; Royer-Carfagni, Gianni 3 2020 Erratum to: “Hadamard’s conditions of compatibility from Cesaro’s line-integral representation”. Zbl 07228676 Fosdick, Roger; Royer-Carfagni, Gianni 1 2020 In recognition of the 75th birthday of Cornelius O. Horgan. Zbl 1415.01017 Murphy, Jeremiah G.; Saccomandi, Giuseppe; Fosdick, Roger 1 2019 Representation of a smooth isometric deformation of a planar material region into a curved surface. Zbl 1396.53003 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 7 2018 Issues concerning isometric deformations of planar regions to curved surfaces. Zbl 1394.53007 Chen, Yi-chao; Fosdick, Roger; Fried, Eliot 5 2018 Isometric deformations of unstretchable material surfaces, a spatial variational treatment. Zbl 1451.49040 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 2 2018 The mechanics of ribbons and Möbius bands. Zbl 1320.74006 10 2016 A generalized continuum theory with internal corner and surface contact interactions. Zbl 1348.74013 Fosdick, Roger 8 2016 Representation for a smooth isometric mapping from a connected planar domain to a surface. Zbl 1320.53006 Chen, Yi-Chao; Fosdick, Roger; Fried, Eliot 5 2015 Singular shear-force states in elementary plate theory. Zbl 1305.74008 Fosdick, Roger; Royer-Carfagni, Gianni 2 2015 A constitutive model for a linearly elastic peridynamic body. Zbl 1366.74003 Aguiar, Adair R.; Fosdick, Roger 16 2014 Taylor-like bifurcations for a compressible isotropic elastic tube. Zbl 1299.74065 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore; Piccioni, Mario Daniele 2 2014 A variational approach to fracture and other inelastic phenomena. Notes based on the first Sperlonga summer school on mechanics and engineering sciences, Sperlonga, Italy, September 2011. With a foreword by Roger Fosdick. Reprinted from the Journal of Elasticity 112, No. 1, 2013. Zbl 1275.74001 2 2014 The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018 Fosdick, Roger; Serrin, James 1 2014 A causality approach to particle dynamics for systems. Zbl 1320.70011 Fosdick, Roger 6 2013 Reformation instability in elastic solids. Zbl 1328.74014 Fosdick, Roger; Granieri, Luca; Maddalena, Francesco 2 2012 Observations concerning virtual power. Zbl 1269.74013 Fosdick, Roger 8 2011 On the “principle of virtual power” for arbitrary parts of a body. Zbl 1272.74006 Fosdick, R. 3 2011 On the motive power of chemical transformations in open systems. Zbl 1300.74017 Fosdick, Roger; Royer-Carfagni, Gianni 1 2011 A lower bound estimate of the critical load for compressible elastic solids. Zbl 1234.74014 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Piccioni, Mario Daniele 6 2010 Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids. Zbl 1247.74018 Fosdick, Roger; Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore 5 2010 Surface transport in continuum mechanics. Zbl 1197.74012 Fosdick, Roger; Tang, Huang 8 2009 Bifurcation instability in linear elasticity with the constraint of local injectivity. Zbl 1137.74025 Fosdick, Roger; Freddi, Francesco; Royer-Carfagni, Gianni 5 2008 The variational approach to fracture. With a foreword by Roger Fosdick. Reprinted from Journal of Elasticity 91, No. 1-3 (2008). Zbl 1425.74004 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 2 2008 A note on uniqueness in linear elastostatics. Zbl 1115.74023 Fosdick, Roger; Piccioni, M. D.; Puglisi, G. 12 2007 Electrodynamics and thermomechanics of material bodies. Zbl 1147.74020 Fosdick, Roger; Tang, Huang 12 2007 Chemomechanical equilibrium of bars. Zbl 1158.74403 Buonsanti, Michele; Fosdick, Roger; Royer-Carfagni, Gianni 6 2006 Generalized Baker-Ericksen inequalities. Zbl 1098.74010 Fosdick, R.; Šilhavý, M. 5 2006 A Stokes theorem for second-order tensor fields and its implications in continuum mechanics. Zbl 1349.74048 Fosdick, Roger; Royer-Carfagni, Gianni 14 2005 A penalty interpretation for the Lagrange multiplier fields in incompressible multipolar elasticity theory. Zbl 1077.74005 Fosdick, Roger; Royer-Carfagni, Gianni 2 2005 Stress as a constraint reaction in rigid bodies. Zbl 1058.74013 Fosdick, Roger; Royer-Carfagni, Gianni 2 2004 Generalized Airy stress functions. Zbl 1034.74002 Fosdick, Roger; Schuler, Karl 5 2003 About Clapeyron’s theorem in linear elasticity. Zbl 1059.74007 Fosdick, Roger; Truskinovsky, Lev 4 2003 The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. Zbl 1041.74008 Fosdick, Roger; Royer-Carfagni, Gianni 4 2002 In recognition of the 70th birthday of Piero Villaggio. Zbl 1039.01512 Fosdick, Roger; Royer-Carfagni, Gianni 1 2002 The constraint of local injectivity in linear elasticity theory. Zbl 1044.74003 Fosdick, Roger; Royer-Carfagni, Gianni 11 2001 Self-intersection in elasticity. Zbl 1028.74018 Aguiar, Adair; Fosdick, Roger 4 2001 Multiple natural states for an elastic isotropic material with polyconvex stored energy. Zbl 0992.74012 Fosdick, Roger; Royer-Carfagni, Gianni 6 2000 A singular problem in incompressible nonlinear elastostatics. Zbl 1205.74017 Aguiar, Adair R.; Fosdick, Roger L. 1 2000 A rheological model for materials which support coexistent shear rates. Zbl 1068.76504 Balan, Corneliu; Fosdick, Roger 1 2000 The Lagrange multiplier in incompressible elasticity theory. Zbl 0957.74005 Fosdick, Roger; Royer-Carfagni, Gianni 4 1999 On a model of nonlocal continuum mechanics. I: Existence and regularity. Zbl 0923.73003 Fosdick, Roger L.; Mason, Darren E. 8 1998 The state of pure shear. Zbl 0938.74007 Bělík, Pavel; Fosdick, Roger 7 1998 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. II: History type solids. Zbl 0891.73026 Fosdick, Roger; Yu, Jang-Horng 7 1998 Vibration damping through the use of materials with memory. Zbl 0917.73027 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 4 1998 A nonlinear oscillator with history dependent force. Zbl 0907.70013 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 3 1998 Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function. Zbl 0962.74024 Fosdick, Roger; Ketema, Yohannes; Yu, Jang-Horng 2 1998 On a model of nonlocal continuum mechanics. II: Structure, asymptotics, and computations. Zbl 0923.73004 Fosdick, Roger L.; Mason, Darren E. 4 1997 Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. I: Differential type solids of second grade. Zbl 0859.73008 Fosdick, Roger L.; Yu, Jang-Horng 13 1996 Single phase energy minimizers for materials with nonlocal spatial dependence. Zbl 0840.73079 Fosdick, Roger L.; Mason, Darren E. 5 1996 The static state of a two-phase solid mixture in a stressed elastic bar. Zbl 0909.73041 Fosdick, Roger L.; Royer-Carfagni, Gianni F. 4 1996 Alloy separation of a binary mixture in a stressed elastic sphere. Zbl 0864.73016 Fosdick, Roger; Royer-Carfagni, Gianni F. 3 1996 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024 Fosdick, 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 0837.73016 Fosdick, Roger; Zhang, Ying 3 1995 A structured phase transition for the antiplane shear of an elastic circular tube. Zbl 0827.73039 Fosdick, Roger; Zhang, Ying 2 1995 Coexistent phase mixtures in the anti-plane shear of an elastic tube. Zbl 0816.73075 Fosdick, Roger; Zhang, Ying 4 1994 The Weierstrass condition for a special class of elastic materials. Zbl 0860.73007 Dunn, J. E.; Fosdick, Roger 3 1994 The torsion problem for a nonconvex stored energy function. Zbl 0803.73016 Fosdick, Roger; Zhang, Ying 8 1993 Normality and convexity of the yield surface in nonlinear plasticity. Zbl 0774.73026 Fosdick, Roger; Volkmann, Eric 6 1993 Shock induced transitions and phase structures in general media. Papers of a workshop, held in Minneapolis, MN, USA, Oct. 1990. Zbl 0782.00063 2 1993 Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords. Zbl 0768.73097 Fosdick, R. L.; MacSithigh, G. P. 7 1991 Material symmetry and crystals. Zbl 0696.73002 Fosdick, Roger L.; Hertog, Brian 5 1990 A variational proof of the stress theorem of Cauchy. Zbl 0658.73002 Fosdick, Roger L.; Virga, Epifanio G. 11 1989 The Maxwell relation and Eshelby’s conservation law for minimizers in elasticity theory. Zbl 0698.73008 Fosdick, Roger L.; Hertog, Brian 4 1989 Steady, structured shock waves. I: Thermoelastic materials. Zbl 0677.73023 Dunn, J. E.; Fosdick, R. L. 5 1988 Minimization in incompressible nonlinear elasticity theory. Zbl 0616.73026 Fosdick, R. L.; MacSithigh, G. P. 22 1986 A plane nonlinear shear for elastic layer with a nonconvex stored energy function. Zbl 0601.73086 Fosdick, R. L.; MacSithigh, G.; Rajagopal, K. R. 4 1986 On the Gibbsian thermostatics of mixtures. Zbl 0594.49030 Fosdick, Roger; Patiño, Jorge G. S. 1 1986 Helical shear of an elastic, circular tube with a non-convex stored energy. Zbl 0529.73007 Fosdick, R. L.; MacSithigh, G. 25 1983 The elastica and the problem of the pure bending for a non-convex stored energy function. Zbl 0481.73018 Fosdick, R. L.; James, R. D. 17 1981 Catastrophic instabilities and related results in a fluid of third grade. Zbl 0484.76011 Fosdick, R. L.; Straughan, B. 3 1981 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002 Fosdick, R. L.; Rajagopal, K. R. 128 1980 The morphology and stability of material phases. Zbl 0434.73120 Dunn, J. Ernest; Fosdick, Roger L. 21 1980 Shearing motions and the formation of shocks in an elastic circular tube. Zbl 0455.73028 Fosdick, R. L.; Macsithigh, G. P. 3 1980 Steady flow of a simple fluid around a rotating sphere. Zbl 0452.76005 Fosdick, R. L.; Kao, B. G. 1 1980 Anomalous features in the model of ”second order fluids”. Zbl 0427.76006 Fosdick, R. L.; Rajagopal, K. R. 117 1979 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007 Fosdick, R. L.; Serrin, J. 13 1979 Uniqueness and drag for fluids of second grade in steady motion. Zbl 0392.76005 Fosdick, R. L.; Rajagopal, K. R. 23 1978 Transverse deformations associated with rectilinear shear in elastic solids. Zbl 0393.73041 Fosdick, R. L.; Kao, B. G. 12 1978 Lemmas in thermodynamic stability: a priori constitutive inequalities and induced global bounds on thermodynamic states. Zbl 0375.73004 Dunn, J. Ernest; Fosdick, Roger L. 2 1978 Universal flows in the simplest theories of fluids. Zbl 0361.76015 Fosdick, R. L.; Truesdell, C. 5 1977 Global properties of continuum thermodynamic processes. Zbl 0332.73004 Fosdick, Roger L.; Serrin, James 15 1975 Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Zbl 0324.76001 Dunn, J. Ernest; Fosdick, Roger L. 219 1974 Rectilinear steady flow of simple fluids. Zbl 0261.76001 Fosdick, R. L.; Serrin, J. 26 1973 The free surface on a liquid between cylinders rotating at different speeds. I. Zbl 0265.76113 Joseph, Daniel D.; Fosdick, Roger L. 14 1973 The free surface on a liquid between cylinders rotating at different speeds. II. Zbl 0265.76114 Joseph, Daniel D.; Beavers, Gordon S.; Fosdick, Roger L. 12 1973 Statically possible radially symmetric deformations in isotropic, incompressible elastic solids. Zbl 0265.73034 Fosdick, Roger L. 6 1971 On the complete representation of biharmonic functions. Zbl 0199.16801 Fosdick, Roger L. 4 1970 On four theological relations. Zbl 0191.23402 Bernstein, B.; Fosdick, R. L. 2 1970 On Ericksen’s problem for plane deformations with uniform transverse stretch. Zbl 0165.27602 Fosdick, R. L.; Schuler, K. W. 19 1969 Nonuniqueness of second-order fluids under steady radial flow in annuli. Zbl 0198.29801 Fosdick, R. L.; Bernstein, B. 6 1969 A class of dynamically possible steady motions of incompressible, isotropic, simple materials. Zbl 0172.26501 Fosdick, R. L. 1 1969 Dynamically possible motions of incompressible, isotropic, simple materials. Zbl 0164.27305 Fosdick, R. L. 22 1968 A note on on-uniqueness in linear elasticity theory. Zbl 0172.49803 Edelstein, W. S.; Fosdick, R. L. 11 1968 On general measures of deformation. Zbl 0176.26103 Fosdick, R. L.; Wineman, A. S. 3 1968 On the displacement boundary-value problem of static linear elasticity theory. Zbl 0159.55601 Fosdick, R. L. 1 1968 Small bending of a circular bar superposed on finite extension or compression. Zbl 0108.37102 Fosdick, R. L.; Shield, R. T. 9 1963 all cited Publications top 5 cited Publications all top 5 Cited by 863 Authors 59 Hayat, Tasawar 42 Fosdick, Roger L. 24 Asghar, Saleem 24 Rajagopal, Kumbakonam Ramamani 21 Saccomandi, Giuseppe 17 Siddiqui, Abdul Majeed 16 Massoudi, Mehrdad 14 Fried, Eliot 12 Ellahi, Rahmat 12 Sajid, Muhammad 9 Ayub, Muhammad 9 Chen, Yichao 9 Fetecau, Constantin 9 Makinde, Oluwole Daniel 9 Neff, Patrizio 9 Steigmann, David J. 9 Wineman, Alan S. 8 Ariel, P. Donald 8 Destrade, Michel 8 Erdoğan, M. Emin 8 Khan, Masood 8 Truskinovsky, Lev 7 Busuioc, Adriana Valentina 7 Foti, Pilade 7 Grabovsky, Yury 7 İmrak, C. Erdem 7 Mahomed, Fazal M. 7 Momoniat, Ebrahim 7 Pence, Thomas J. 7 Straughan, Brian 7 Titi, Edriss Saleh 6 Aguiar, Adair Roberto 6 Chinyoka, Tirivanhu 6 Cipriano, Fernanda 6 De Tommasi, Domenico 6 Holm, Darryl Dallas 6 Joseph, Daniel D. 6 Martin, Robert J. 6 Razafimandimby, Paul André 6 Steinmann, Paul 6 Zhai, Jianliang 6 Zhang, Tusheng S. 5 Fetecau, Corina 5 Fraddosio, Aguinaldo 5 Galdi, Giovanni Paolo 5 Iftimie, Dragoş 5 James, Richard D. 5 Javed, Tariq 5 Javili, Ali 5 Marzano, Salvatore 5 Piccioni, Mario Daniele 5 Rana, Muhammad Afzal 5 Sahoo, Bikash 5 Virga, Epifanio G. 4 Abbasbandy, Saeid 4 Al-saedi, Ahmed Eid Salem 4 Antman, Stuart S. 4 Bustamante, Roger 4 Casey, James 4 Du, Qiang 4 Duda, Fernando Pereira 4 Dunn, J. Ernest 4 Foiaș, Ciprian 4 Goriely, Alain 4 Haroon, Tahira 4 Horgan, Cornelius Oliver 4 Man, Chi-Sing 4 Marris, Andrew W. 4 McBride, Andrew T. 4 Mohyuddin, Muhammad Raheel 4 Morro, Angelo 4 Phuoc, Tran X. 4 Puglisi, Giuseppe 4 Rachowicz, Waldemar 4 Roubíček, Tomáš 4 Sango, Mamadou 4 Seguin, Brian 4 Shahzad, Faisal 4 Shirani, Milad 4 Šilhavý, Miroslav 4 Vaidya, Ashwin 4 Wang, Yongqi 4 Yurusoy, Muhammet 4 Zdunek, Adam 3 Abbas, Zaheer 3 Abel, M. Subhas 3 Abelman, Shirley 3 Ali, Nasir 3 Aziz, Taha 3 Blume, Janet A. 3 Capriz, Gianfranco 3 Chemetov, Nikolai V. 3 Chen, Shiyi 3 dell’Isola, Francesco 3 Fakhar, Kamran 3 Ghiba, Ionel-Dumitrel 3 Girault, Vivette 3 Hayes, Michael Alphonsus 3 Hsiao, Kai-Long 3 Kara, Abdul Hamid ...and 763 more Authors all top 5 Cited in 147 Serials 119 Journal of Elasticity 60 Archive for Rational Mechanics and Analysis 47 International Journal of Engineering Science 40 Mathematics and Mechanics of Solids 38 Acta Mechanica 25 Nonlinear Analysis. Real World Applications 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Meccanica 20 Continuum Mechanics and Thermodynamics 19 Computers & Mathematics with Applications 17 Applied Mathematics and Computation 15 Communications in Nonlinear Science and Numerical Simulation 12 Journal of Mathematical Analysis and Applications 12 Journal of the Mechanics and Physics of Solids 10 Physica D 10 Mathematical and Computer Modelling 10 Mathematical Problems in Engineering 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Differential Equations 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Journal of Nonlinear Science 7 Applied Mathematical Modelling 6 International Journal for Numerical Methods in Fluids 6 Applied Mathematics and Mechanics. (English Edition) 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Engineering Mathematics 5 Mathematical Methods in the Applied Sciences 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Fluid Mechanics 4 Rheologica Acta 4 Wave Motion 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Fluid Mechanics 4 Acta Mechanica Sinica 4 International Journal of Applied and Computational Mathematics 3 International Journal of Modern Physics B 3 Applicable Analysis 3 International Journal of Heat and Mass Transfer 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 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 European Journal of Mechanics. A. Solids 3 Sādhanā 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Boundary Value Problems 3 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal of Solids and Structures 2 Mathematical Biosciences 2 Physica A 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Advances in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the Nigerian Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Communications in Partial Differential Equations 2 Journal of Non-Equilibrium Thermodynamics 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Journal of Mechanics. B. Fluids 2 Inverse Problems in Science and Engineering 2 Chinese Journal of Physics (Taipei) 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 Computational Physics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Shock Waves 1 Prikladnaya Matematika i Mekhanika 1 Soviet Applied Mechanics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales Polonici Mathematici 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 Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Computational Mechanics 1 Applied Mathematics Letters ...and 47 more Serials all top 5 Cited in 33 Fields 388 Fluid mechanics (76-XX) 372 Mechanics of deformable solids (74-XX) 147 Partial differential equations (35-XX) 93 Classical thermodynamics, heat transfer (80-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 32 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Probability theory and stochastic processes (60-XX) 16 Differential geometry (53-XX) 15 Biology and other natural sciences (92-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 History and biography (01-XX) 7 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Topological groups, Lie groups (22-XX) 2 Potential theory (31-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 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Citations by Year