Plastic bifurcation and postbifurcation analysis for generalized standard continua

DOI10.1016/0022-5096(89)90028-8zbMath0693.73035OpenAlexW2159598714MaRDI QIDQ908738

Son Q. Nguyen, Nicholas Triantafyllidis

Publication date: 1989

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

Full work available at URL: http://hdl.handle.net/2027.42/28206

zbMATH Keywords

sufficient conditions for uniquenessHill's maximum dissipation principleHill's nonbifurcation criterionrate n bifurcation problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Anelastic fracture and damage (74R20) Bifurcation and buckling (74G60)

Related Items (5)

Plastic post-buckling of a simply supported column with a solid rectangular cross-section ⋮ The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I ⋮ Elasto-plastic postbuckling of damaged orthotropic plates ⋮ A rate-consistent and intrinsically path-dependent incremental method for plastic buckling problems ⋮ The influence of scale size on the stability of periodic solids and the role of associated higher-order gradient continuum models.

Cites Work

• Unnamed Item
• Unnamed Item
• On the problem of uniqueness in the theory ot a rigid-plastic sond.I, II
• A general theory of uniqueness and stability in elastic-plastic solids
• On the bifurcation and postbifurcation analysis of elastic-plastic solids under general prebifurcation conditions
• Second-order bifurcation in elastic-plastic solids
• A class of phenomemological corner theories of plasticity
• Post-bifurcation behavior in the plastic range

This page was built for publication: Plastic bifurcation and postbifurcation analysis for generalized standard continua