A Geometrically Nonlinear Theory of Elastic Plates

DOI10.1115/1.2900732zbMath0818.73041OpenAlexW2143215723MaRDI QIDQ4202536

D. A. Danielson, Ali R. Atilgan, Dewey H. Hodges

Publication date: 15 August 1995

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2900732

zbMATH Keywords

principle of virtual worksmall strainsstrain-displacement relationlarge deflections and rotationscompatibility and equilibrium equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20)

Related Items (15)

Α Frame for Development of Approximate Theories of Geometrically-Nonlinear Plates ⋮ A variational asymptotic theory of composite laminated plates: hybrid transformation to Reissner-Mindlin model ⋮ Hybrid energy transformation to generalized Reissner-Mindlin model for laminated composite shells ⋮ VAM applied to dimensional reduction of non-linear hyperelastic plates ⋮ A multiphysics model for magneto-electro-elastic laminates ⋮ Homogenization and dimensional reduction of composite plates with in-plane heterogeneity ⋮ On the mechanics of composite sandwich plates with three-dimensional stress recovery ⋮ Asymptotically-Accurate Nonlinear Hyperelastic Shell Constitutive Model Using Variational Asymptotic Method ⋮ Refined modeling of composite plates with in‐plane heterogeneity ⋮ Geometrically-exact, intrinsic theory for dynamics of moving composite plates ⋮ On vectorially parameterized natural strain measures of the nonlinear Cosserat continuum ⋮ On generalized Cosserat-type theories of plates and shells: a short review and bibliography ⋮ SECONDARY INSTABILITY AND MODE JUMPING OF DEEP THERMOELASTICALLY BUCKLED COMPOSITE LAMINATES ⋮ A geometrically-nonlinear plate theory ⋮ Asymptotic generalization of Reissner-Mindlin theory: accurate three-dimensional recovery for composite shells.

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