Line and point defects in nonlinear anisotropic solids
DOI10.1007/s00033-018-0973-2zbMath1452.74017arXiv1712.09156OpenAlexW3100321513WikidataQ129759273 ScholiaQ129759273MaRDI QIDQ721341
Publication date: 19 July 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09156
nonlinear elasticitydefectsdislocationsdisclinationsmonoclinic solidsorthotropic solidstransversely isotropic solids
Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stress (74A10)
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- Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids
- A geometric theory of growth mechanics
- Anticavitation and differential growth in elastic shells
- A mathematical theory of the mechanical behavior of continuous media
- Modeling of anisotropic softening phenomena: Application to soft biological tissues
- The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
- The screw dislocation problem in incompressible finite elastostatics: A discussion of nonlinear effects
- Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
- A covariant constitutive description of anisotropic nonlinear elasticity
- On the stress field of a nonlinear elastic solid torus with a toroidal inclusion
- Nonlinear elastic inclusions in anisotropic solids
- On representations of anisotropic invariants
- Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Tensors which characterize anisotropies
- Material inhomogeneities and their evolution. A geometric approch.
- On anisotropic elasticity and questions concerning its finite element implementation
- Growth and instability in elastic tissues
- Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media
- Second-order effects of dislocations in anisotropic crystals
- Materially uniform simple bodies with inhomogeneities
- On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
- Affine development of closed curves in Weitzenböck manifolds and the Burgers vector of dislocation mechanics
- The geometry of discombinations and its applications to semi-inverse problems in anelasticity
- Disclinations in nonlinear elasticity
- On spatial and material covariant balance laws in elasticity
- Defects in nonlinear elastic crystals: differential geometry, finite kinematics, and second‐order analytical solutions
- Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
- Instabilities of a Finitely Deformed Fiber-Reinforced Elastic Material
- Elastic fields due to defects in transversely isotropic bimaterials
- Riemann–Cartan geometry of nonlinear disclination mechanics
- A geometric theory of thermal stresses
- Bulging bifurcation of inflated circular cylinders of doubly fiber-reinforced hyperelastic material under axial loading and swelling
- Geometric nonlinear thermoelasticity and the time evolution of thermal stresses
- Weyl geometry and the nonlinear mechanics of distributed point defects
- Nonlinear elastic inclusions in isotropic solids
- Small-on-large geometric anelasticity
- Riemannian Geometry
- Stress fields produced by dislocations in anisotropic media
- Swelling-induced microchannel formation in nonlinear elasticity
- ANISOTROPIC ELASTIC INCLUSION PROBLEMS
- The physical components of vectors and tensors
- Two-dimensional elastic defects in orthotropic bicrystals
- A model of crystal plasticity based on the theory of continuously distributed dislocations
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