Energy-minimizing deformations of elastic sheets with bending stiffness

DOI10.1007/BF00041227zbMath0773.73051OpenAlexW2054002110MaRDI QIDQ1261879

A. C. Pipkin, Michael G. Hilgers

Publication date: 5 September 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041227

zbMATH Keywords

strain energy functionvirtual work principleLegendre-Hadamard conditionweak local minimizersErdmann equilibrium conditionmaterial stability conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Plates (74K20) Optimization of other properties in solid mechanics (74P10)

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Cites Work

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• The Weierstrass condition for multiple integral variation problems
• Quasi-convexity and the lower semicontinuity of multiple integrals
• ELASTIC SHEETS WITH BENDING STIFFNESS
• Bending energy of highly elastic membranes
• Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order