Bifurcation of elastic-plastic spherical shells subject to internal pressure

DOI10.1016/0022-5096(75)90033-2zbMath0331.73047OpenAlexW2001719586MaRDI QIDQ1227486

Alan Needleman

Publication date: 1975

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(75)90033-2

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Shells (74K25) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (2)

Polymer indentation: numerical analysis and comparison with a spherical cavity model ⋮ A nonlocal two-dimensional analysis of instabilities in tubes under internal pressure

Cites Work

• Unnamed Item
• 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
• Bifurcation in rigid-plastic materials under spherically symmetric loading conditions
• A numerical study of necking in circular cylindrical bars
• Post-bifurcation behavior in the plastic range
• Uniqueness and stability of rigid-plastic spherical shells subjected to finite deformation under hydrostatic pressure
• Uniqueness criteria and extremum principles in self-adjoint problems of continuum mechanics
• On the calculation of potential function defined on curved boundaries

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