Applications of Algebraic Topology in Elasticity
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Publication:3300565
DOI10.1007/978-3-030-42683-5_3zbMath1444.74009OpenAlexW3024598541MaRDI QIDQ3300565
Publication date: 29 July 2020
Published in: Advances in Mechanics and Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-42683-5_3
Nonlinear elasticity (74B20) Homology and cohomology theories in algebraic topology (55N99) Homotopy groups (55Q99)
Related Items (2)
A geometric field theory of dislocation mechanics ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation
Cites Work
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- A geometric theory of growth mechanics
- On Saint-Venant torsion and the plane problem of elastostatics for multiply connected domains
- On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions
- Covariance in linearized elasticity
- Finite rotations in the description of continuum deformation
- On the rotated stress tensor and the material version of the Doyle- Ericksen formula
- Manifolds, tensor analysis, and applications.
- On the recovery of a surface with prescribed first and second fundamental forms.
- Sur l'analysis situs des variétés à \(n\) dimensions
- Compatible-strain mixed finite element methods for incompressible nonlinear elasticity
- Three-manifolds with positive Ricci curvature
- Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity
- Differential complexes in continuum mechanics
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity
- Nonlinear and linear elastodynamic transformation cloaking
- Nonlinear mechanics of accretion
- Compatibility equations of nonlinear elasticity for non-simply-connected bodies
- On the regions bounded by homotopic curves
- Curves von 2-manifolds and isotopies
- Compatibility and the genesis of residual stress by volumetric growth
- On Weingarten-Volterra defects
- Differential forms in manifolds with boundary
- The Rotation Associated with Large Strains
- Vector Calculus and the Topology of Domains in 3-Space
- A Panoramic View of Riemannian Geometry
- On Volterra Dislocations of Finitely Deforming Continua
- A geometric theory of thermal stresses
- Weyl geometry and the nonlinear mechanics of distributed point defects
- The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids
- Homotopic Curves on Surfaces
- Electromagnetic Theory and Computation
- Algorithmic topology and classification of 3-manifolds
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