On stable deformation of unstable materials in a rigid triaxial testing machine

DOI10.1016/0022-5096(93)90083-RzbMath0781.73032MaRDI QIDQ688780

E. I. Ryzhak

Publication date: 10 February 1994

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

Drucker's postulateHadamard's conditionhomogeneous orthotropic specimenssymmetric moduli tensorsuniform supercritical deformation

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (2)

A boundary element technique for incremental, nonlinear elasticity. II: Bifurcation and shear bands. ⋮ A novel boundary element approach to time-harmonic dynamics of incremental nonlinear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding

Cites Work

• Some static and dynamic implications of the general theory of elastic stability
• Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension
• A general theory of uniqueness and stability in elastic-plastic solids
• The initiation of necking in rectangular elastic/plastic specimens under uniaxial and biaxial tension
• Uniqueness criteria and extremum principles in self-adjoint problems of continuum mechanics
• Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems
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