Contorsion of material connection in growing solids
From MaRDI portal
Publication:1982468
DOI10.1134/S1995080221080187zbMath1486.74008OpenAlexW3196357416MaRDI QIDQ1982468
Publication date: 8 September 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080221080187
torsionbody manifoldcurvaturenon-Euclidean geometryresidual stressnonmetricityCartan moving frameincompatible deformations
Applications of differential geometry to physics (53Z05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (2)
Incompatible deformations in relativistic elasticity ⋮ Finite incompatible deformations in elastic solids: relativistic approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields
- Differential geometry and mathematical physics. I: Manifolds, Lie groups and Hamiltonian systems
- A geometric theory of growth mechanics
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Geometry of incompatible deformations. Differential geometry in continuum mechanics
- Continuum dynamics on manifolds: application to elasticity of residually-stressed bodies
- The mathematical theory of growing bodies. Finite deformations
- Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
- Material affine connections for growing solids
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell
- Nonlinear mechanics of accretion
- Material inhomogeneities and their evolution. A geometric approch.
- On the geometric character of stress in continuum mechanics
- Inverse deformation results in finite elasticity
- Materially uniform simple bodies with inhomogeneities
- \(C^1\) isometric imbeddings
- Introduction to Smooth Manifolds
- Introduction to Topological Manifolds
- Continuum elasticity with topological defects, including dislocations and extra-matter
- Introduction to Riemannian Manifolds
- Riemannian and Euclidean material structures in anelasticity
- The Weitzenböck connection and time reparameterization in nonholonomic mechanics
- Weyl geometry and the nonlinear mechanics of distributed point defects
- Elastic-Plastic Deformation at Finite Strains
- On Axisymmetrical Deformations of Nonlinear Membranes
This page was built for publication: Contorsion of material connection in growing solids