Nonlinear Theory of Elastic Directed Surfaces

DOI10.1063/1.1705009zbMath0151.36904OpenAlexW2020245895MaRDI QIDQ5530607

Carl N. DeSilva, Harley Cohen

Publication date: 1966

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1705009

zbMATH Keywords

mechanics of solids

Related Items (17)

A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS ⋮ The Cosserat surface as a shell model, theory and finite element formulation ⋮ The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates ⋮ Symmetry considerations for material surfaces ⋮ A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence ⋮ Global properties of buckled states of plates that can suffer thickness changes ⋮ Mixture theory of directed surfaces and a model of the cornea ⋮ A general theory of directed surfaces ⋮ Variational principles for idealized sandwich shells ⋮ On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization ⋮ Multilayered shells and directed surfaces ⋮ Large deformation solutions for an elastic Cosserat surface ⋮ A direct nonlinear theory of elastic membranes ⋮ Microcontinuum fluid mechanics - a review ⋮ Material uniformity and homogeneity in shells ⋮ Plane waves and stability in thin elastic circular cylindrical shells ⋮ A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus

Cites Work

• Exact theory of stress and strain in rods and shells
• Micro-structure in linear elasticity
• Nonlinear Theory of Elastic Surfaces
• On the nonlinear theory of elastic shells under the Kirchhoff hypothesis

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