Nonlocal continuum effects on bifurcation in the plane strain tension-compression test
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Publication:1354937
DOI10.1016/0022-5096(95)00002-ZzbMath0878.73024MaRDI QIDQ1354937
Ahmed Benallal, Viggo Tvergaard
Publication date: 19 May 1997
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
normalityHill theoryyield criterionregularizing effectssufficient condition for uniquenessgradient plasticity model
Nonsimple materials (74A30) Plastic materials, materials of stress-rate and internal-variable type (74C99)
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Cites Work
- Unnamed Item
- Unnamed Item
- A general theory of uniqueness and stability in elastic-plastic solids
- A gradient approach to localization of deformation. I. Hyperelastic materials
- Localization limiters in transient problems
- Non-normality and bifurcation in plane strain tension and compression
- Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain
- Influence of void nucleation on ductile shear fracture at a free surface
- A gradient flow theory of plasticity for granular materials
- A variational principle for gradient plasticity
- Bifurcation phenomena in the plane compression test
- Bifurcation phenomena in the plane tension test
- Necking of biaxilly stretched elastic-plastic circular plates
- Strain localization and bifurcation in a nonlocal continuum
- A phenomenological theory for strain gradient effects in plasticity
- On nonlocal elasticity
- Gradient-dependent plasticity: Formulation and algorithmic aspects
- Bifurcation Effects in Ductile Metals With Nonlocal Damage
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II