G-structures and material homogeneity
From MaRDI portal
Publication:922020
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
Inhomogeneity in solid mechanics (74E05) Crystalline structure (74E15) (G)-structures (53C10) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)
Related Items
Another Look at the Evolution of Material Structures ⋮ Characteristic foliations of material evolution: from remodeling to aging ⋮ On the integrability of second-order \(G\)-structures with applications to continuous theorems of dislocations ⋮ Homogeneity conditions for generalized Cosserat media ⋮ Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media ⋮ New notions of uniformity and homogeneity of Cosserat media ⋮ Material geometry ⋮ A geometric model for non-uniform processes of morphogenesis ⋮ FUNCTIONALLY GRADED MEDIA ⋮ Material distributions ⋮ Limits of Distributed Dislocations in Geometric and Constitutive Paradigms ⋮ On the Homogeneity of Non-uniform Material Bodies ⋮ Characteristic distribution: an application to material bodies ⋮ A Model of the Self-Driven Evolution of a Defective Continuum ⋮ On the geometrical material structure of anelasticity ⋮ The geometry of uniformity in second-grade elasticity ⋮ Geometrical theory of uniform Cosserat media ⋮ A kinematic model for continuous distributions of dislocations ⋮ Locally homogeneous configurations of uniform elastic bodies
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
