Material distributions
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Publication:5133816
DOI10.1177/1081286517736922zbMath1487.53123OpenAlexW4235799936MaRDI QIDQ5133816
Manuel de León, Marcelo Epstein, Víctor Manuel Jiménez
Publication date: 11 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286517736922
Lie algebroidsLie groupoidsdifferential geometrymaterial uniformitysingular distributionsStefan-Sussman theorem
Inhomogeneity in solid mechanics (74E05) Applications of differential geometry to engineering (53Z30)
Related Items (6)
An intrinsic geometric formulation of hyper-elasticity, pressure potential and non-holonomic constraints ⋮ Characteristic foliations of material evolution: from remodeling to aging ⋮ The evolution equation: an application of groupoids to material evolution ⋮ New notions of uniformity and homogeneity of Cosserat media ⋮ Material geometry ⋮ A geometric model for non-uniform processes of morphogenesis
Cites Work
- Unnamed Item
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- G-structures and material homogeneity
- Geometric characterization of hyperelastic uniformity
- Geometrical theory of uniform Cosserat media
- Homogeneity without uniformity: Towards a mathematical theory of functionally graded materials
- Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
- Material inhomogeneities and their evolution. A geometric approch.
- Materially uniform simple bodies with inhomogeneities
- On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
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