Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina

DOI10.1016/j.ijengsci.2008.09.004zbMath1213.74210OpenAlexW2062662124MaRDI QIDQ541002

David J. Steigmann

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.09.004

zbMATH Keywords

linear elasticitytransverse isotropyresidual stressplate theory

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20) Composite and mixture properties (74E30) Energy minimization in equilibrium problems in solid mechanics (74G65)

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Cites Work

• Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
• Rigorous derivation of nonlinear plate theory and geometric rigidity
• Positive definiteness of the elasticity tensor of a residually stressed material
• An exact three-dimensional solution for normal loading of inhomogeneous and laminated anisotropic elastic plates of moderate thickness
• The Graves condition for variational problems of arbitrary order
• A Note on Strong Ellipticity for Transversely Isotropic Linearly Elastic Solids
• Surface waves supported by thin-film/substrate interactions
• Theory of Linearly Elastic Residually Stressed Plates
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