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## Antman, Stuart S.

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 Author ID: antman.stuart-s Published as: Antman, Stuart S.; Antman, S. S.; Antman, Stuart; Antman, S. External Links: MGP · Wikidata · GND
 Documents Indexed: 133 Publications since 1965, including 6 Books Biographic References: 1 Publication
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#### Co-Authors

 52 single-authored 6 Lanza de Cristoforis, Massimo 5 Seidman, Thomas I. 5 Srubshchik, Leonid S. 4 Alexander, James Crew 4 Marlow, Randall Scot 3 Bourne, David P. 3 Malek-Madani, Reza 3 Szymczak, William G. 3 Ulusoy, Suleyman 2 Calderer, Maria-Carme T. 2 Keller, Joseph Bishop 2 Koch, Herbert 2 Lacarbonara, Walter 2 Negrón-Marrero, Pablo V. 2 Rosenfeld, Gerald 2 Schuricht, Friedemann 2 Shvartsman, Mikhail M. 2 Stepanov, Alexey B. 2 Wilber, J. Patrick 1 Adler, C. L. 1 Arena, Andrea 1 Brézis, Haïm 1 Browne, Russell C. 1 Carbone, Ernest R. 1 Coleman, Bernard David 1 Crosswhite, Gregory M. 1 Deng, Shitao 1 Dunn, J. Ernest 1 Ericksen, Jerald Laverne 1 Gauss, Roger C. 1 Guo, Zhongheng 1 Jordan, Kathleen B. 1 Kenney, Charles S. 1 Kinderlehrer, David 1 Klaus, Frank 1 Liu, Jianguo 1 Liu, Tai-Ping 1 Lott-Crumpler, Dawn A. 1 Lott, Dawn A. 1 Müller, Ingo 1 Nachman, Arje 1 Nohel, John A. 1 Osborn, John E. 1 Pierce, John F. 1 Reeken, Michael 1 Rogers, Robert C. 1 Schagerl, Martin 1 Shih, Kegang 1 Ting, Thomas C. T. 1 Vlahacos, Constantine P. 1 Warner, William H. 1 Wiegner, Michael 1 Wolfe, Peter 1 Yip, Shui Cheung 1 Ziemer, William Paul
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#### Serials

 16 Archive for Rational Mechanics and Analysis 15 Journal of Elasticity 9 Quarterly of Applied Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 2 International Journal of Non-Linear Mechanics 2 International Journal of Solids and Structures 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Physica D 2 Journal of Nonlinear Science 2 Applied Mathematical Sciences 1 American Mathematical Monthly 1 International Journal of Engineering Science 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Bulletin of the Technical University of Istanbul 1 Meccanica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Dynamics and Differential Equations 1 Methods and Applications of Analysis 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 1 Mathematics and Mechanics of Solids 1 Vietnam Journal of Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 Journal of the Society for Industrial & Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 118 Mechanics of deformable solids (74-XX) 35 Partial differential equations (35-XX) 19 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

99 Publications have been cited 1,382 times in 920 Documents Cited by Year
Nonlinear problems of elasticity. Zbl 0820.73002
Antman, Stuart S.
1995
Nonlinear problems of elasticity. 2nd, revised and extended ed. Zbl 1098.74001
Antman, Stuart S.
2005
Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells. Zbl 0354.73046
Antman, Stuart S.
1976
Kirchhoff’s problem for nonlinearly elastic rods. Zbl 0302.73031
Antman, Stuart S.
1974
Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems. Zbl 0479.58005
Alexander, J. C.; Antman, Stuart S.
1981
Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity. Zbl 0472.73036
Antman, Stuart S.; Kenney, Charles S.
1981
The equations for large vibrations of strings. Zbl 0435.73056
Antman, Stuart S.
1980
Nonuniqueness of equilibrium states for bars in tension. Zbl 0267.73031
Antman, Stuart S.
1973
Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems. Zbl 0354.73047
Antman, Stuart S.
1976
Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories. Zbl 0769.73012
Antman, Stuart S.; Marlow, Randall S.
1991
Shear and necking instabilities in nonlinear elasticity. Zbl 0356.73048
Antman, Stuart S.; Carbone, Ernest R.
1977
The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. Zbl 0631.73016
Antman, Stuart S.; Negrón-Marrero, Pablo V.
1987
The principle of virtual work and integral laws of motion. Zbl 0403.73003
Antman, Stuart S.; Osborn, John E.
1979
Bifurcation theory and nonlinear eigenvalue problems. Zbl 0181.00105
Keller, Joseph B. (ed.); Antman, Stuart (ed.)
1969
Global behavior of buckled states of nonlinearly elastic rods. Zbl 0395.73039
Antman, Stuart S.; Rosenfeld, Gerald
1978
Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders. Zbl 0524.73044
Antman, Stuart S.
1983
Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity. Zbl 0844.35021
Antman, Stuart S.; Seidman, Thomas I.
1996
Existence and nonuniqueness of axisymmetric equilibrium states of nonlinarly elastic shells. Zbl 0254.73072
Antman, Stuart S.
1971
The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods. Zbl 1145.74020
Antman, Stuart S.; Seidman, Thomas I.
2005
Travelling waves in hyperelastic rods. Zbl 0408.73043
Antman, Stuart S.; Liu, Tai-Ping
1979
Equilibrium states of nonlinearly elastic rods. Zbl 0188.57501
Antman, S. S.
1969
Buckled states of nonlinearly elastic plates. Zbl 0379.73047
Antman, Stuart S.
1978
Qualitative aspects of the spatial deformation of non-linearly elastic rods. Zbl 0351.73076
Antman, Stuart S.; Jordan, Kathleen B.
1975
Global behavior of solutions of nonlinear equations depending on infinite-dimensional parameters. Zbl 0488.47032
Alexander, J. C.; Antman, Stuart S.
1983
General solutions for plane extensible elasticae having nonlinear stress- strain laws. Zbl 0157.56505
Antman, S. S.
1968
The influence of elasticity on analysis: Modern developments. Zbl 0533.73001
Antman, Stuart S.
1983
Multiple equilibrium states of nonlinearly elastic strings. Zbl 0434.73017
Antman, Stuart S.
1979
Large buckled states of rotating rods. Zbl 0437.73028
Antman, Stuart S.; Nachman, Arje
1980
Existence of solution of the equilibrium equations for nonlinearly elastic rings and arches. Zbl 0223.73029
Antman, Stuart
1970
Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods. Zbl 0989.74039
Antman, S. S.
2000
Incompressibility in rod and shell theories. Zbl 0955.74041
Antman, Stuart S.; Schuricht, Friedemann
1999
The eversion of thick spherical shells. Zbl 0448.73088
Antman, Stuart S.
1979
Physically unacceptable viscous stresses. Zbl 0928.74007
Antman, Stuart S.
1998
Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods. Zbl 0845.73034
Antman, S. S.
1996
The shape of buckled nonlinearly elastic rings. Zbl 0214.52005
Antman, S.
1970
Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media. Zbl 0677.73022
1988
Forced radial motions of nonlinearly viscoelastic shells. Zbl 1169.74031
Antman, Stuart S.; Lacarbonara, Walter
2009
The complicated dynamics of heavy rigid bodies attached to deformable rods. Zbl 0960.74028
Antman, Stuart S.; Marlow, Randall S.; Vlahacos, Constantine P.
1998
Global attractors for degenerate partial differential equations from nonlinear viscoelasticity. Zbl 0981.35087
Wilber, J. Patrick; Antman, Stuart S.
2001
The paradoxical asymptotic status of massless springs. Zbl 0661.73018
Antman, Stuart S.
1988
The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397
Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael
2002
Large shearing oscillations of incompressible nonlinearly elastic bodies. Zbl 0551.73017
Antman, Stuart S.; Guo, Zhongheng
1984
Stability and Hopf bifurcation for fully nonlinear parabolic-hyperbolic equations. Zbl 1049.35145
Koch, Herbert; Antman, Stuart S.
2000
Qualitative behavior of buckled nonlinearly elastic arches. Zbl 0445.73035
Antman, Stuart S.; Dunn, J. Ernest
1980
The ambiguous twist of Love. Zbl 0486.73032
Alexander, J. C.; Antman, Stuart S.
1982
The large deformation of nonlinearly elastic tubes in two-dimensional flows. Zbl 0743.47042
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1991
Equilibrium states of nonlinearly elastic rods. Zbl 0165.27704
Antman, S. S.
1968
The intricate global structure of buckled states of compressible columns. Zbl 0707.73029
Antman, Stuart S.; Pierce, John F.
1990
Large lateral buckling of nonlinearity elastic beams. Zbl 0533.73042
Antman, Stuart S.
1984
Monotonicity and invertibility conditions in one-dimensional nonlinear elasticity. Zbl 0294.73042
Antman, Stuart S.
1973
Material constraints in continuum mechanics. Zbl 0508.73002
Antman, Stuart S.
1981
Slumping instabilities of elastic membranes holding liquids and gases. Zbl 1349.74108
Antman, Stuart S.; Schagerl, Martin
2005
The critical role of the base curve for the qualitative behavior of shearable rods. Zbl 1039.74029
Antman, Stuart S.; Schuricht, Friedemann
2003
The drawing and whirling of strings: Singular global multiparameter bifurcation problems. Zbl 0621.73050
Antman, Stuart S.; Reeken, Michael
1987
A note on a paper of Tadjbakhsh and Odeh. Zbl 0155.52501
Antman, S. S.
1968
Singular global bifurcation problems for the buckling of anisotropic plates. Zbl 0698.73037
Negrón-Marrero, P. V.; Antman, S. S.
1990
Qualitative properties of large buckled states of spherical shells. Zbl 0597.73048
Shih, Ke-Gang; Antman, Stuart S.
1986
The shrink-fit problem for aeolotropic nonlinearly elastic bodies. Zbl 0821.73013
Antman, Stuart S.; Shvartsman, Mikhail M.
1995
Radially symmetric steady states of nonlinearly elastic plates and shells. Zbl 1386.74029
Stepanov, Alexey B.; Antman, Stuart S.
2016
The asymptotic problem for the springlike motion of a heavy piston in a viscous gas. Zbl 1169.76053
Antman, Stuart S.; Wilber, J. Patrick
2007
Large thermal buckling of nonuniform beams and plates. Zbl 0559.73052
Gauss, Roger C.; Antman, Stuart S.
1984
Invariant dissipative mechanisms for the spatial motion of rods suggested by artificial viscosity. Zbl 1046.74025
Antman, Stuart S.
2003
Large shearing motions of nonlinearly viscoelastic slabs. Zbl 0860.73018
Antman, Stuart S.; Seidman, Thomas I.
1994
Peculiar instabilities due to the clamping of shearable rods. Zbl 0888.73021
Antman, Stuart S.; Lanza de Cristoforis, Massimo
1997
The shearing of nonlinearly viscoplastic slabs. Zbl 0886.35153
Antman, Stuart S.; Klaus, Frank
1996
New phenomena in the buckling of arches described by refined theories. Zbl 0781.73029
Antman, Stuart S.; Marlow, Randall S.
1993
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
Antman, Stuart S. (ed.); Ericksen, J. L. (ed.); Kinderlehrer, David (ed.); Müller, Ingo (ed.)
1987
Design of material properties that yield a prescribed global buckling response. Zbl 0613.73045
Antman, S. S.; Adler, C. L.
1987
Steady-state problems of nonlinear electro-magneto-thermo-elasticity. Zbl 0633.73108
Rogers, Robert C.; Antman, Stuart S.
1986
Asymptotic analysis of the eversion of nonlinearly elastic shells. II: Incompressible shells. Zbl 1052.74539
Antman, Stuart S.; Srubshchik, Leonid S.
2001
The large deformation of nonlinearly elastic shells in axisymmetric flows. Zbl 0780.73053
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1992
Global properties of buckled states of plates that can suffer thickness changes. Zbl 0698.73035
Antman, Stuart S.
1990
The asymptotics of heavily burdened viscoelastic rods. Zbl 1250.35022
Antman, Stuart S.; Ulusoy, Süleyman
2012
Self-sustained oscillations of nonlinearly viscoelastic layers. Zbl 0956.35009
Antman, Stuart S.; Koch, Herbert
2000
Anisotropy consistent with spherical symmetry in continuum mechanics. Zbl 1005.74019
Antman, Stuart S.; Ting, T. C. T.
2001
Convergence properties of hierarchies of dynamical theories of rods and shells. Zbl 0896.73029
Antman, Stuart S.
1997
Nonlinear eigenvalue problems for the whirling of heavy elastic strings. Zbl 0434.34015
Antman, Stuart S.
1980
Nonlinear, nonlocal problems of fluid-solid interactions. Zbl 0806.76012
Antman, Stuart S.; Lanza de Cristoforis, Massimo
1993
Transcritical buckling of columns. Zbl 0759.73023
Antman, Stuart S.; Marlow, Randall S.
1992
Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods. Zbl 1335.37057
Antman, Stuart S.; Ulusoy, Süleyman
2015
Radially symmetric motions of nonlinearly viscoelastic bodies under live loads. Zbl 1386.35398
Stepanov, Alexey B.; Antman, Stuart S.
2017
A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. I: Formulation, analysis, and computations. Zbl 1153.74014
Bourne, David; Antman, Stuart S.
2009
Geometrical and analytical questions in nonlinear elasticity. Zbl 0551.73018
Antman, Stuart S.
1984
Asymptotic shapes of inflated noncircular elastic rings. Zbl 0569.73045
Antman, Stuart S.; Calderer, M. Carme
1985
Rotational symmetry vs. axisymmetry in shell theory. Zbl 1231.74290
Antman, Stuart S.; Bourne, David
2010
Equilibrium states of nonlinearly elastic rods. Zbl 0288.73032
Antman, Stuart
1974
Nonlinear eigenvalue problems for the whirling of heavy elastic strings. II: new methods of global bifurcation theory. Zbl 0515.58025
Alexander, J. C.; Antman, Stuart S.; Deng, Shi-tao
1983
Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies. Zbl 0842.73006
Shvartsman, Mikhail M.; Antman, Stuart S.
1995
Extensions of monotone mappings. Zbl 0889.47029
Antman, Stuart
1996
Optimal control of a nonlinearly viscoelastic rod. Zbl 0976.49006
Seidman, Thomas I.; Antman, Stuart S.
2001
Asymptotic analysis of the eversion of nonlinearly elastic shells. Zbl 0921.73204
Antman, Stuart S.; Srubshchik, Leonid S.
1998
Corrections and additions: Global behavior of buckled states of nonlinearly elastic rods. Zbl 0465.73050
Antman, Stuart S.; Rosenfeld, Gerald
1980
Optimal control of the spatial motion of a viscoelastic rod. Zbl 1033.49003
Seidman, Thomas I.; Antman, Stuart S.
2003
A family of semi-inverse problems of nonlinear elasticity. Zbl 0401.73032
Antman, Stuart S.
1978
Steady bifurcating solutions of the Couette-Taylor problem for flow in a deformable cylinder. Zbl 1382.76044
Bourne, David; Antman, Stuart S.
2015
Dynamic stability of circular rods. Zbl 0143.46402
Antman, S. S.; Warner, W. H.
1965
Nonlinear elastoplastic waves. Zbl 0683.73017
Antman, Stuart S.; Szymczak, William G.
1989
Cavitational flow past a nonlinearly elastic panel. Zbl 0687.76006
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1990
Coercivity conditions in nonlinear elasticity. Zbl 0542.73047
Antman, Stuart S.
1983
Radially symmetric motions of nonlinearly viscoelastic bodies under live loads. Zbl 1386.35398
Stepanov, Alexey B.; Antman, Stuart S.
2017
Radially symmetric steady states of nonlinearly elastic plates and shells. Zbl 1386.74029
Stepanov, Alexey B.; Antman, Stuart S.
2016
Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods. Zbl 1335.37057
Antman, Stuart S.; Ulusoy, Süleyman
2015
Steady bifurcating solutions of the Couette-Taylor problem for flow in a deformable cylinder. Zbl 1382.76044
Bourne, David; Antman, Stuart S.
2015
The asymptotics of heavily burdened viscoelastic rods. Zbl 1250.35022
Antman, Stuart S.; Ulusoy, Süleyman
2012
Rotational symmetry vs. axisymmetry in shell theory. Zbl 1231.74290
Antman, Stuart S.; Bourne, David
2010
Forced radial motions of nonlinearly viscoelastic shells. Zbl 1169.74031
Antman, Stuart S.; Lacarbonara, Walter
2009
A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction. I: Formulation, analysis, and computations. Zbl 1153.74014
Bourne, David; Antman, Stuart S.
2009
The asymptotic problem for the springlike motion of a heavy piston in a viscous gas. Zbl 1169.76053
Antman, Stuart S.; Wilber, J. Patrick
2007
Nonlinear problems of elasticity. 2nd, revised and extended ed. Zbl 1098.74001
Antman, Stuart S.
2005
The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods. Zbl 1145.74020
Antman, Stuart S.; Seidman, Thomas I.
2005
Slumping instabilities of elastic membranes holding liquids and gases. Zbl 1349.74108
Antman, Stuart S.; Schagerl, Martin
2005
The critical role of the base curve for the qualitative behavior of shearable rods. Zbl 1039.74029
Antman, Stuart S.; Schuricht, Friedemann
2003
Invariant dissipative mechanisms for the spatial motion of rods suggested by artificial viscosity. Zbl 1046.74025
Antman, Stuart S.
2003
Optimal control of the spatial motion of a viscoelastic rod. Zbl 1033.49003
Seidman, Thomas I.; Antman, Stuart S.
2003
The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. Zbl 1134.35397
Yip, Shui Cheung; Antman, Stuart S.; Wiegner, Michael
2002
Global attractors for degenerate partial differential equations from nonlinear viscoelasticity. Zbl 0981.35087
Wilber, J. Patrick; Antman, Stuart S.
2001
Asymptotic analysis of the eversion of nonlinearly elastic shells. II: Incompressible shells. Zbl 1052.74539
Antman, Stuart S.; Srubshchik, Leonid S.
2001
Anisotropy consistent with spherical symmetry in continuum mechanics. Zbl 1005.74019
Antman, Stuart S.; Ting, T. C. T.
2001
Optimal control of a nonlinearly viscoelastic rod. Zbl 0976.49006
Seidman, Thomas I.; Antman, Stuart S.
2001
Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods. Zbl 0989.74039
Antman, S. S.
2000
Stability and Hopf bifurcation for fully nonlinear parabolic-hyperbolic equations. Zbl 1049.35145
Koch, Herbert; Antman, Stuart S.
2000
Self-sustained oscillations of nonlinearly viscoelastic layers. Zbl 0956.35009
Antman, Stuart S.; Koch, Herbert
2000
Incompressibility in rod and shell theories. Zbl 0955.74041
Antman, Stuart S.; Schuricht, Friedemann
1999
Physically unacceptable viscous stresses. Zbl 0928.74007
Antman, Stuart S.
1998
The complicated dynamics of heavy rigid bodies attached to deformable rods. Zbl 0960.74028
Antman, Stuart S.; Marlow, Randall S.; Vlahacos, Constantine P.
1998
Asymptotic analysis of the eversion of nonlinearly elastic shells. Zbl 0921.73204
Antman, Stuart S.; Srubshchik, Leonid S.
1998
Peculiar instabilities due to the clamping of shearable rods. Zbl 0888.73021
Antman, Stuart S.; Lanza de Cristoforis, Massimo
1997
Convergence properties of hierarchies of dynamical theories of rods and shells. Zbl 0896.73029
Antman, Stuart S.
1997
Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity. Zbl 0844.35021
Antman, Stuart S.; Seidman, Thomas I.
1996
Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods. Zbl 0845.73034
Antman, S. S.
1996
The shearing of nonlinearly viscoplastic slabs. Zbl 0886.35153
Antman, Stuart S.; Klaus, Frank
1996
Extensions of monotone mappings. Zbl 0889.47029
Antman, Stuart
1996
Nonlinear problems of elasticity. Zbl 0820.73002
Antman, Stuart S.
1995
The shrink-fit problem for aeolotropic nonlinearly elastic bodies. Zbl 0821.73013
Antman, Stuart S.; Shvartsman, Mikhail M.
1995
Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies. Zbl 0842.73006
Shvartsman, Mikhail M.; Antman, Stuart S.
1995
Large shearing motions of nonlinearly viscoelastic slabs. Zbl 0860.73018
Antman, Stuart S.; Seidman, Thomas I.
1994
New phenomena in the buckling of arches described by refined theories. Zbl 0781.73029
Antman, Stuart S.; Marlow, Randall S.
1993
Nonlinear, nonlocal problems of fluid-solid interactions. Zbl 0806.76012
Antman, Stuart S.; Lanza de Cristoforis, Massimo
1993
The large deformation of nonlinearly elastic shells in axisymmetric flows. Zbl 0780.73053
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1992
Transcritical buckling of columns. Zbl 0759.73023
Antman, Stuart S.; Marlow, Randall S.
1992
Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories. Zbl 0769.73012
Antman, Stuart S.; Marlow, Randall S.
1991
The large deformation of nonlinearly elastic tubes in two-dimensional flows. Zbl 0743.47042
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1991
The intricate global structure of buckled states of compressible columns. Zbl 0707.73029
Antman, Stuart S.; Pierce, John F.
1990
Singular global bifurcation problems for the buckling of anisotropic plates. Zbl 0698.73037
Negrón-Marrero, P. V.; Antman, S. S.
1990
Global properties of buckled states of plates that can suffer thickness changes. Zbl 0698.73035
Antman, Stuart S.
1990
Cavitational flow past a nonlinearly elastic panel. Zbl 0687.76006
Lanza de Cristoforis, Massimo; Antman, Stuart S.
1990
Nonlinear elastoplastic waves. Zbl 0683.73017
Antman, Stuart S.; Szymczak, William G.
1989
Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media. Zbl 0677.73022
1988
The paradoxical asymptotic status of massless springs. Zbl 0661.73018
Antman, Stuart S.
1988
The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies. Zbl 0631.73016
Antman, Stuart S.; Negrón-Marrero, Pablo V.
1987
The drawing and whirling of strings: Singular global multiparameter bifurcation problems. Zbl 0621.73050
Antman, Stuart S.; Reeken, Michael
1987
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
Antman, Stuart S.; Ericksen, J. L.; Kinderlehrer, David; Müller, Ingo
1987
Design of material properties that yield a prescribed global buckling response. Zbl 0613.73045
Antman, S. S.; Adler, C. L.
1987
Qualitative properties of large buckled states of spherical shells. Zbl 0597.73048
Shih, Ke-Gang; Antman, Stuart S.
1986
Steady-state problems of nonlinear electro-magneto-thermo-elasticity. Zbl 0633.73108
Rogers, Robert C.; Antman, Stuart S.
1986
Asymptotic shapes of inflated noncircular elastic rings. Zbl 0569.73045
Antman, Stuart S.; Calderer, M. Carme
1985
Large shearing oscillations of incompressible nonlinearly elastic bodies. Zbl 0551.73017
Antman, Stuart S.; Guo, Zhongheng
1984
Large lateral buckling of nonlinearity elastic beams. Zbl 0533.73042
Antman, Stuart S.
1984
Large thermal buckling of nonuniform beams and plates. Zbl 0559.73052
Gauss, Roger C.; Antman, Stuart S.
1984
Geometrical and analytical questions in nonlinear elasticity. Zbl 0551.73018
Antman, Stuart S.
1984
Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders. Zbl 0524.73044
Antman, Stuart S.
1983
Global behavior of solutions of nonlinear equations depending on infinite-dimensional parameters. Zbl 0488.47032
Alexander, J. C.; Antman, Stuart S.
1983
The influence of elasticity on analysis: Modern developments. Zbl 0533.73001
Antman, Stuart S.
1983
Nonlinear eigenvalue problems for the whirling of heavy elastic strings. II: new methods of global bifurcation theory. Zbl 0515.58025
Alexander, J. C.; Antman, Stuart S.; Deng, Shi-tao
1983
Coercivity conditions in nonlinear elasticity. Zbl 0542.73047
Antman, Stuart S.
1983
The ambiguous twist of Love. Zbl 0486.73032
Alexander, J. C.; Antman, Stuart S.
1982
Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems. Zbl 0479.58005
Alexander, J. C.; Antman, Stuart S.
1981
Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity. Zbl 0472.73036
Antman, Stuart S.; Kenney, Charles S.
1981
Material constraints in continuum mechanics. Zbl 0508.73002
Antman, Stuart S.
1981
The equations for large vibrations of strings. Zbl 0435.73056
Antman, Stuart S.
1980
Large buckled states of rotating rods. Zbl 0437.73028
Antman, Stuart S.; Nachman, Arje
1980
Qualitative behavior of buckled nonlinearly elastic arches. Zbl 0445.73035
Antman, Stuart S.; Dunn, J. Ernest
1980
Nonlinear eigenvalue problems for the whirling of heavy elastic strings. Zbl 0434.34015
Antman, Stuart S.
1980
Corrections and additions: Global behavior of buckled states of nonlinearly elastic rods. Zbl 0465.73050
Antman, Stuart S.; Rosenfeld, Gerald
1980
The principle of virtual work and integral laws of motion. Zbl 0403.73003
Antman, Stuart S.; Osborn, John E.
1979
Travelling waves in hyperelastic rods. Zbl 0408.73043
Antman, Stuart S.; Liu, Tai-Ping
1979
Multiple equilibrium states of nonlinearly elastic strings. Zbl 0434.73017
Antman, Stuart S.
1979
The eversion of thick spherical shells. Zbl 0448.73088
Antman, Stuart S.
1979
Global behavior of buckled states of nonlinearly elastic rods. Zbl 0395.73039
Antman, Stuart S.; Rosenfeld, Gerald
1978
Buckled states of nonlinearly elastic plates. Zbl 0379.73047
Antman, Stuart S.
1978
A family of semi-inverse problems of nonlinear elasticity. Zbl 0401.73032
Antman, Stuart S.
1978
Shear and necking instabilities in nonlinear elasticity. Zbl 0356.73048
Antman, Stuart S.; Carbone, Ernest R.
1977
Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells. Zbl 0354.73046
Antman, Stuart S.
1976
Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems. Zbl 0354.73047
Antman, Stuart S.
1976
Qualitative aspects of the spatial deformation of non-linearly elastic rods. Zbl 0351.73076
Antman, Stuart S.; Jordan, Kathleen B.
1975
Kirchhoff’s problem for nonlinearly elastic rods. Zbl 0302.73031
Antman, Stuart S.
1974
Equilibrium states of nonlinearly elastic rods. Zbl 0288.73032
Antman, Stuart
1974
Nonuniqueness of equilibrium states for bars in tension. Zbl 0267.73031
Antman, Stuart S.
1973
Monotonicity and invertibility conditions in one-dimensional nonlinear elasticity. Zbl 0294.73042
Antman, Stuart S.
1973
Existence and nonuniqueness of axisymmetric equilibrium states of nonlinarly elastic shells. Zbl 0254.73072
Antman, Stuart S.
1971
Existence of solution of the equilibrium equations for nonlinearly elastic rings and arches. Zbl 0223.73029
Antman, Stuart
1970
The shape of buckled nonlinearly elastic rings. Zbl 0214.52005
Antman, S.
1970
Bifurcation theory and nonlinear eigenvalue problems. Zbl 0181.00105
Keller, Joseph B.; Antman, Stuart
1969
Equilibrium states of nonlinearly elastic rods. Zbl 0188.57501
Antman, S. S.
1969
General solutions for plane extensible elasticae having nonlinear stress- strain laws. Zbl 0157.56505
Antman, S. S.
1968
Equilibrium states of nonlinearly elastic rods. Zbl 0165.27704
Antman, S. S.
1968
A note on a paper of Tadjbakhsh and Odeh. Zbl 0155.52501
Antman, S. S.
1968
Dynamic stability of circular rods. Zbl 0143.46402
Antman, S. S.; Warner, W. H.
1965
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#### Cited by 1,095 Authors

 51 Antman, Stuart S. 18 Ciarlet, Philippe Gaston 18 Goriely, Alain 14 Simo, Juan Carlos 13 Atanackovic, Teodor M. 12 Areias, Pedro M. A. 11 Cantrell, Robert Stephen 10 O’Reilly, Oliver Mary 10 van der Heijden, Gert H. M. 9 Kumar, Ajeet 9 Mardare, Cristinel 9 Mora, Maria Giovanna 9 Negrón-Marrero, Pablo V. 9 Rajagopal, Kumbakonam Ramamani 9 Saccomandi, Giuseppe 9 Steigmann, David J. 8 Altenbach, Holm 8 Bîrsan, Mircea 8 Eremeyev, Victor A. 8 Glavardanov, Valentin B. 8 Müller, Stefan 8 Spector, Scott J. 8 Tambača, Josip 7 Healey, Timothy J. 7 Holmes, Philip J. 7 Onninen, Jani 6 Ball, John M. 6 Fried, Eliot 6 James, Richard D. 6 Lacarbonara, Walter 6 Maddocks, John H. 6 Marsden, Jerrold Eldon 6 Mielke, Alexander 6 Neff, Patrizio 6 Paroni, Roberto 6 Rubin, Miles B. 6 Seidman, Thomas I. 5 Cohen, Harley 5 Guidugli, Paolo Podio 5 Karwowski, Andrzej Joachim 5 Kawakubo, Satoshi 5 Owen, Nicholas C. 5 Podio-Guidugli, Paulo 5 Roubíček, Tomáš 5 Schröder, Jörg 5 Schuricht, Friedemann 5 Tabor, Michael 4 Alexander, James Crew 4 Betsch, Peter 4 Čanić, Sunčica 4 Cosner, Chris 4 Eliseev, Vladimir V. 4 Fox, David D. 4 Freddi, Lorenzo 4 Friesecke, Gero 4 Griso, Georges 4 Hanna, James A. 4 Horgan, Cornelius Oliver 4 Hornung, Peter 4 Lanza de Cristoforis, Massimo 4 Ljulj, Matko 4 Maretic, Ratko B. 4 Mariano, Paolo Maria 4 Massabó, Ivar 4 Pastrone, Franco 4 Pejsachowicz, Jacobo 4 Pires, E. B. 4 Rabczuk, Timon 4 Raoult, Annie 4 Sivaloganathan, Jeyabal 4 Taheri, Ali 4 Thompson, John Michael T. 4 Wilber, J. Patrick 4 Wolfe, Peter 3 Andrews, Graham 3 Baginski, Frank E. 3 Barbat, Alex H. 3 Barone, Vincenzo 3 Blanchard, Dominique 3 Calderer, Maria-Carme T. 3 Cheng, Changjun 3 Coleman, Bernard David 3 Dai, Hui-Hui 3 De Lillo, Silvana 3 Dias-da-Costa, Daniel 3 Dunn, Martin L. 3 Fitzpatrick, Patrick Michael 3 Friedrich, Manuel 3 Geymonat, Giuseppe 3 Gupta, Prakhar 3 Gurtin, Morton Edward 3 Hesch, Christian 3 Hoffman, Kathleen A. 3 Iwaniec, Tadeusz 3 Klouček, Petr 3 Koski, Aleksis 3 Kružík, Martin 3 Le Dret, Hervé 3 Le Tallec, Patrick 3 Lembo, Marzio ...and 995 more Authors
all top 5

#### Cited in 188 Serials

 112 Journal of Elasticity 85 Archive for Rational Mechanics and Analysis 61 Computer Methods in Applied Mechanics and Engineering 39 Mathematics and Mechanics of Solids 29 Acta Mechanica 22 International Journal of Engineering Science 20 European Journal of Mechanics. A. Solids 19 Computational Mechanics 18 Journal of Differential Equations 16 Journal of the Mechanics and Physics of Solids 16 Meccanica 15 Journal of Mathematical Analysis and Applications 14 Journal of Nonlinear Science 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Continuum Mechanics and Thermodynamics 13 Nonlinear Analysis. Theory, Methods & Applications 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Physica D 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 International Journal of Solids and Structures 11 Nonlinear Dynamics 9 Calculus of Variations and Partial Differential Equations 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Computational Physics 8 International Journal for Numerical Methods in Engineering 8 Journal of Functional Analysis 8 Applied Mathematical Modelling 7 Transactions of the American Mathematical Society 6 Numerische Mathematik 6 Quarterly of Applied Mathematics 5 Journal of Engineering Mathematics 5 Journal of Mathematical Physics 5 Wave Motion 5 Mathematische Annalen 5 Archive of Applied Mechanics 5 Journal of Applied Mechanics and Technical Physics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Computational and Applied Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Mathematics Letters 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Archives of Computational Methods in Engineering 3 Journal of Fluid Mechanics 3 Rocky Mountain Journal of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Rendiconti del Seminario Matematico della Università di Padova 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Dynamics and Differential Equations 3 Multibody System Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Nonlinear Analysis. Real World Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Ingenieur-Archiv 2 Journal of Mathematical Biology 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Journal of Optimization Theory and Applications 2 Kodai Mathematical Journal 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Revista Matemática Iberoamericana 2 Dynamics and Stability of Systems 2 Journal of Integral Equations and Applications 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Journal of Vibration and Control 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Structural and Multidisciplinary Optimization 2 Analysis and Applications (Singapore) 2 Journal of Hyperbolic Differential Equations 2 Advances in Calculus of Variations 2 International Journal of Structural Stability and Dynamics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Plasticity 1 Journal of Applied Mathematics and Mechanics ...and 88 more Serials
all top 5

#### Cited in 41 Fields

 730 Mechanics of deformable solids (74-XX) 195 Partial differential equations (35-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 71 Numerical analysis (65-XX) 60 Fluid mechanics (76-XX) 55 Ordinary differential equations (34-XX) 46 Global analysis, analysis on manifolds (58-XX) 40 Operator theory (47-XX) 37 Dynamical systems and ergodic theory (37-XX) 32 Mechanics of particles and systems (70-XX) 32 Biology and other natural sciences (92-XX) 31 Differential geometry (53-XX) 13 Functional analysis (46-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 8 Manifolds and cell complexes (57-XX) 7 Systems theory; control (93-XX) 6 History and biography (01-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 3 Geophysics (86-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX)

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