Necking of biaxilly stretched elastic-plastic circular plates

DOI10.1016/0022-5096(77)90021-7zbMath0391.73027OpenAlexW2034205430MaRDI QIDQ1251493

Alan Needleman, Viggo Tvergaard

Publication date: 1977

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(77)90021-7

zbMATH Keywords

StressDilatationBifurcationElastoplasticityFinite ElementsStrainCircular PlatesImperfection AreaPartial Differential EquationSecond Flow Rule

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (7)

Nonlocal continuum effects on bifurcation in the plane strain tension-compression test ⋮ Bifurcation and post-bifurcation phenomena of elastic-plastic circular tubes subjected to uniform shrinkage under plane strain condition ⋮ Non-normality and bifurcation in plane strain tension and compression ⋮ Flow localization in the plane strain tensile test ⋮ Studies on plastic structures: stability, anisotropic hardening, cyclic loads ⋮ Elastoplasticity beyond small deformations ⋮ Finite element analysis of crystalline solids

Cites Work

• Unnamed Item
• A general theory of uniqueness and stability in elastic-plastic solids
• Acceleration waves in solids
• An analysis of the imperfection sensitivity of square elastic-plastic plates under axial compression
• The initiation of necking in rectangular elastic/plastic specimens under uniaxial and biaxial tension
• Localized necking in thin sheets
• Bifurcation phenomena in the plane compression test
• Bifurcation phenomena in the plane tension test
• Necking of pressurized spherical membranes
• Modification of the Gurson model for shear failure
• A numerical study of necking in circular cylindrical bars
• Uniqueness criteria and extremum principles in self-adjoint problems of continuum mechanics
• Stabilitätsprobleme elastoplastischer Kontinua

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