Stability of homogeneous deformations in nonlinear elasticity

DOI10.1007/BF00042084zbMath0834.73034MaRDI QIDQ1904624

Yi-Chao Chen

Publication date: 31 March 1996

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

boundary conditionscompressible elastic body of cylindrical shapestability conditions for uniaxial tension and simple shear

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items

Homogeneous equilibrium configurations of a hyperelastic compressible cube under equitriaxial dead-load tractions

Cites Work

• Unnamed Item
• On copositive matrices and strong ellipticity for isotropic elastic materials
• On the absence of bifurcation for elastic bars in uniaxial tension
• Existence and stability of necking deformations for nonlinearly elastic rods
• Stability of homogeneous deformation of an incompressible elastic body under dead-load surface tractions
• Equilibrium of bars
• Differentiability properties of isotropic functions
• Nonuniqueness of equilibrium states for bars in tension
• Special Topics in Elastostatics