A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions

DOI10.1007/BF01178329zbMath0681.73021OpenAlexW4234125419MaRDI QIDQ1823756

N. P. Andrianopoulos, Dimitrios E. Panayotounakos

Publication date: 1989

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01178329

zbMATH Keywords

decouplingequations of stress-equilibriumMises-Hencky yield conditionnonlinear partial differential systemsecond order partial differential equation of the Monge typestress-evaluation

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Solutions to PDEs in closed form (35C05)

Related Items

Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent

Cites Work

• Plane strain deformation near a crack tip in a power-law hardening material
• Singular behaviour at the end of a tensile crack in a hardening material
• Nonlinear partial differential equations in engineering
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