Finite incompatible deformations in elastic solids: relativistic approach
type: Item
instance of: scholarly article
title: Finite incompatible deformations in elastic solids: relativistic approach
zbMATH Open document ID: 1502.74007
DOI: 10.1134/S1995080222100250
author: Yanyan Li
published in: Lobachevskii Journal of Mathematics
publication date: 2022-11-15T00:00:00Z
Mathematics Subject Classification ID: 74A05
Mathematics Subject Classification ID: 74A10
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 7617034
zbMATH Keywords: four-dimensional relativistic hyperelasticity
zbMATH Keywords: defect distribution
zbMATH Keywords: material connection curvature
zbMATH Keywords: material connection torsion
zbMATH Keywords: Lagrangian density
zbMATH Keywords: general covariance principle
zbMATH Keywords: accretion
MaRDI profile type: Publication
cites work: Q3276364
cites work: Q3229837
cites work: Non-Riemannian and Finslerian approaches to the theory of yielding
cites work: Materially uniform simple bodies with inhomogeneities
cites work: On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
cites work: A geometric approach to thermomechanics of dissipating continua.
cites work: Material inhomogeneities and their evolution. A geometric approch.
cites work: Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity
cites work: Geometry of incompatible deformations. Differential geometry in continuum mechanics
cites work: Continuum elasticity with topological defects, including dislocations and extra-matter
cites work: Riemann-Cartan geometry of nonlinear dislocation mechanics
cites work: Weyl geometry and the nonlinear mechanics of distributed point defects
cites work: A geometric theory of growth mechanics
cites work: Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
cites work: Nonlinear mechanics of accretion
cites work: Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell
cites work: Gravitational stresses in accreted bodies
cites work: A theory of elasticity in general relativity
cites work: Elasticity in general relativity
cites work: Q5725544
cites work: Contributions to the relativistic mechanics of continuous media
cites work: Elasticity Theory in General Relativity
cites work: Foundations of general relativistic high-pressure elasticity theory
cites work: Non-metric connection and metric anomalies in materially uniform elastic solids
cites work: Material affine connections for growing solids
cites work: Contorsion of material connection in growing solids
cites work: A principle of objectivity for relativistic continuum mechanics
cites work: Relativistic equations of balance in continuum mechanics
cites work: On the covariant equations of the relativistic electrodynamics of continua. I. General equations
cites work: On the covariant equations of the relativistic electrodynamics of continua. III. Elastic solids
cites work: Q3233964
cites work: Special Relativity in General Frames
cites work: Q4763519
cites work: Q5549798
cites work: Q3222180
cites work: Q3557982
cites work: Euclidean Geometry and Minkowskian Chronometry
cites work: Introduction to relativistic continuum mechanics
cites work: Topology, Geometry and Gauge fields
cites work: Q4023641
cites work: Relativistic anelasticity
cites work: Q3335096
cites work: On spatial and material covariant balance laws in elasticity
cites work: Geometrical theory of uniform Cosserat media
cites work: Exact theory of stress and strain in rods and shells
cites work: Theories of elasticity with couple-stress
cites work: Q3616714
cites work: Q4871741
cites work: Introduction to Riemannian Manifolds
cites work: A Relativist&#39;s Toolkit
description: scientific article; zbMATH DE number 7617034