A new look at the compatibility problem of elasticity theory

DOI10.1016/0020-7225(90)90013-9zbMath0707.73016OpenAlexW2025998945MaRDI QIDQ919861

Dominic G. B. Edelen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90013-9

zbMATH Keywords

first order differential systemequivalent matrix system of linear Riemann-Graves integral equationsright Cauchy-Green strain matrix

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Elastic materials (74B99)

Related Items (9)

Rotation fields and the fundamental theorem of Riemannian geometry in \(\mathbb R^3\) ⋮ Another approach to the fundamental theorem of Riemannian geometry in \(\mathbb R^{3}\), by way of rotation fields ⋮ Compatibility equations in shell theory ⋮ Intrinsic formulation of compatibility conditions in nonlinear shell theory ⋮ Compatibility equations for large deformations ⋮ Divergence and curl of a product of linear mapping fields and applications to the large deformations ⋮ Compatibility of large deformations in nonlinear shell theory ⋮ Compatibility conditions of continua using Riemann–Cartan geometry ⋮ Concerning the polar decomposition of the deformation gradient

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
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