Asymptotic finite-strain thin-plate theory for elastic solids

DOI10.1016/J.CAMWA.2006.02.025zbMath1129.74026OpenAlexW1966105134MaRDI QIDQ2469754

David J. Steigmann

Publication date: 7 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.025

zbMATH Keywords

bendingmembrane theory

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

Related Items (8)

A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates ⋮ Design of pre-stressed plate-strips to cover non-developable shells ⋮ Investigation of elasticity problem for the radially inhomogeneous transversely isotropic sphere ⋮ Methods for solving singular perturbation problems arising in science and engineering ⋮ Shell design from planar pre-stressed structures ⋮ Asymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modules ⋮ Modeling the behavior of heat-shrinkable thin films ⋮ A recent development of computer methods for solving singularly perturbed boundary value problems

Cites Work

• Thin-plate theory for large elastic deformations
• A justification of nonlinear properly invariant plate theories
• Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
• A theory of thin films of martensitic materials with applications to microactuators
• Entropic thermoelasticity of thin polymeric films
• The Nonlinear Theory of Elastic Shells
• Nonlinear problems of elasticity
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