On a consistent dynamic finite-strain plate theory and its linearization
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Publication:346534
DOI10.1007/s10659-016-9575-4zbMath1349.74248OpenAlexW2316033982MaRDI QIDQ346534
Publication date: 29 November 2016
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-016-9575-4
Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20)
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Cites Work
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- Mechanics of generalized continua
- Thin-plate theory for large elastic deformations
- A refined nonlinear theory of plates with transverse shear deformation
- A classification of thin plate models by asymptotic expansion of non-linear three-dimensional equilibrium equations
- A justification of the von Kármán equations
- On Timoshenko-Reissner type theories of plates and shells
- A justification of a nonlinear model in plate theory
- On the asymptotic membrane theory of thin hyperelastic plates
- On consistent plate theories
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- The equations of motion of a plate with residual stress
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Mechanics of materially uniform thin films
- An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
- Singular perturbation methods in the synthesis of control policies for multi-stage production-inventory systems
- On a formulation of a nonlinear theory of plates and shells with applications
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates
- An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates