Symmetry and bifurcation in three-dimensional elasticity. II

DOI10.1007/BF00963840zbMath0536.73010MaRDI QIDQ792118

D. R. J. Chillingworth, Jerrold E. Marsden, Yieh-Hei Wan

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

symmetrythree-dimensional elasticitynumber of solutionsbifurcation diagramselastostaticsundeformed statecertain condition is imposed on the energystress free

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Dynamical problems in solid mechanics (74H99) Bifurcations in context of PDEs (35B32) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (14)

The Signorini perturbation scheme in an abstract setting ⋮ Structure of the set of equilibrated loads in nonlinear elasticity and applications to existence and nonexistence ⋮ Minimization in nonlinear elasticity theory for bodies reinforced with inextensible cords ⋮ Heteroclinic cycles in dynamical systems with broken spherical symmetry ⋮ Elastostatics in the presence of a temperature distribution or inhomogeneity ⋮ Bifurcation and symmetry breaking ⋮ Critical points in the energy of hyperelastic materials ⋮ Existence theorems for nonlinear elastic plates with periodic boundary conditions ⋮ Stability of relative equilibria. II: Application to nonlinear elasticity ⋮ On the steady motion of a coupled system solid-liquid ⋮ Symmetry and bifurcation in three-dimensional elasticity ⋮ Generic multiparameter bifurcation from a manifold ⋮ Asymptotic behavior of constrained local minimizers in finite elasticity ⋮ Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity

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