Second-order bifurcation in elastic-plastic solids

DOI10.1016/0022-5096(85)90004-3zbMath0592.73047OpenAlexW1992597306MaRDI QIDQ1075804

H. Petryk, K. Thermann

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-5096(85)90004-3

zbMATH Keywords

bifurcationsmooth yield surfaceuniquely solvablepost-bifurcationfirst order rate problemnormality flow rulesecond order bifurcationssecond order rate constitutive equationssolution governed by variational principletime-independent elastic-plastic material

Mathematics Subject Classification ID

Related Items (3)

An elastoplastic framework for granular materials becoming cohesive through mechanical densification. II: The formulation of elastoplastic coupling at large strain ⋮ On constitutive inequalities and bifurcation in elastic-plastic solids with a yield-surface vertex ⋮ Plastic bifurcation and postbifurcation analysis for generalized standard continua

Cites Work

• Unnamed Item
• Some basic principles in the mechanics of solids without a natural time
• 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
• On constitutive inequalities for simple materials. II
• Post-bifurcation behavior in the plastic range
• Elastic Potentials and the Structure of Inelastic Constitutive Laws
• On intrinsic eigenstates in plasticity with generalized variables

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