Variational principles in finite elastostatics

DOI10.1007/BF01590856zbMath0436.73008OpenAlexW2004218694MaRDI QIDQ1141009

S. H. Smith

Publication date: 1980

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01590856

zbMATH Keywords

equilibrium statefinitely deformed elastic bodyvariational principle of complementary energy type

Mathematics Subject Classification ID

Related Items (11)

A Necessary Condition for Energy-Minimizing Plane Deformations of Elastic Solids with Intrinsic Boundary Elasticity ⋮ Multi-scale modelling and canonical dual finite element method in phase transitions of solids ⋮ Analytical solutions to general anti-plane shear problems in finite elasticity ⋮ Guaranteed Upper and Lower Bounds on the Uniform Load of Contact Problems in Elasticity ⋮ On the size of RVE in finite elasticity of random composites ⋮ Applications of variational principles in finite elasticity ⋮ Mesoscale bounds in finite elasticity and thermoelasticity of random composites ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ A variational approach to a circular hyperelastic membrane problem ⋮ Global extremum criteria for finite elasticity ⋮ On the principle of stationary complementary energy in finite elastostatics

Cites Work

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• On the stability of linear continuous systems
• Instability and the energy criterion for continuous systems
• A new variational principle for finite elastic displacements
• General theory of small elastic deformations superposed on finite elastic deformations

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