The torsion problem for a nonconvex stored energy function

DOI10.1007/BF00375138zbMath0803.73016MaRDI QIDQ684414

Ying Zhang, Roger L. Fosdick

Publication date: 15 September 1993

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

zbMATH Keywords

critical valueenergy minimizerangle of twisthyperelastic circular cylinderisochoric deformationsphase mixtures

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20)

Related Items

Coexistent phase mixtures in the anti-plane shear of an elastic tube, Pattern formation in plasticity, Damage as a material phase transition, Hyperelastic internal balance by multiplicative decomposition of the deformation gradient, Comparison of the geometrically nonlinear and linear theories of martensitic transformation, Stress-induced phase transformations of an isotropic incompressible elastic body subject to a triaxial stress state, A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy, Phase Transformations in Isotropic Elastic Materials Induced by Shear Stress States

Cites Work

• Helical shear of an elastic, circular tube with a non-convex stored energy
• Fine phase mixtures as minimizers of energy
• Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
• A nonconvex variational problem related to change of phase
• Minimization in incompressible nonlinear elasticity theory