G-structures and material homogeneity

DOI10.1007/BF00054801zbMath0709.73002OpenAlexW2054856960MaRDI QIDQ922020

Marek Elżanowski, Marcelo Epstein, Jędrzej Śniatycki

Publication date: 1990

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00054801

zbMATH Keywords

integrability problemconnections on manifoldsuniform elastic bodies

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Crystalline structure (74E15) (G)-structures (53C10) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

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Cites Work

• Remarks on uniformity in hyperelastic materials
• Geometric characterization of hyperelastic uniformity
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• CONNEXIONS FOR PARALLEL DISTRIBUTIONS IN THE LARGE (II)
• The geometry of $G$-structures
• On the Volume Elements on a Manifold
• The Integrability Problem for G-Structures
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