Asymptotic Estimate of the Potential Energy of a Plastically Deformed Thin Shell

DOI10.1007/978-3-030-47491-1_22zbMath1473.74093OpenAlexW3034155477MaRDI QIDQ3382730

Milad Shirani, David J. Steigmann

Publication date: 21 September 2021

Published in: Analysis of Shells, Plates, and Beams (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-47491-1_22

zbMATH Keywords

elasto-plastic deformationincremental minimizationoptimal potential energy

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25)

Cites Work

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• A Variational Approach to Fracture and Other Inelastic Phenomena
• Mechanics of materially uniform thin films
• A Primer on Plasticity
• On the origins of the idea of the multiplicative decomposition of the deformation gradient

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