On the stress field of a nonlinear elastic solid torus with a toroidal inclusion

DOI10.1007/s10659-016-9620-3zbMath1373.74018OpenAlexW2570172634MaRDI QIDQ1679583

Ashkan Golgoon, Arash Yavari

Publication date: 9 November 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9620-3

zbMATH Keywords

nonlinear elasticitygeometric mechanicsinclusionelastic torusfinite eigenstrains

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) PDEs in connection with mechanics of deformable solids (35Q74) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Coupling of solid mechanics with other effects (74Fxx)

Related Items (8)

Compatible-strain mixed finite element methods for incompressible nonlinear elasticity ⋮ Perturbation of the elastic and thermoelectric fields caused by a rigid inclusion in a thermo-electro-elastic full plane ⋮ Universality in anisotropic linear anelasticity ⋮ Efficient GPU-accelerated thermomechanical solver for residual stress prediction in additive manufacturing ⋮ Nonlinear elastic inclusions in anisotropic solids ⋮ Eshelby's inclusion problem in large deformations ⋮ Line and point defects in nonlinear anisotropic solids ⋮ Nonlinear and linear elastodynamic transformation cloaking

Uses Software

• Mathematica

Cites Work

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• On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities
• A geometric theory of growth mechanics
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Uniformity of stresses inside an elliptic inclusion in finite plane elastostatics
• Designing an inhomogeneity with uniform interior stress in finite plane elastostatics
• Covariance in linearized elasticity
• Strain fields caused by doughnut-like and tubular inclusions with uniform eigenstrains
• Strain-free points near a doughnut-like inclusion with purely dilatational eigenstrains
• Nonlinear elastic inclusions in anisotropic solids
• Exact solution of the displacement boundary value problem of elasticity for a torus
• Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
• The finite inflation of an elastic toroidal membrane of circular cross section
• FRACTAL EVOLUTION IN DETERMINISTIC AND RANDOM MODELS
• The geometry of discombinations and its applications to semi-inverse problems in anelasticity
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Swelling-Induced Cavitation of Elastic Spheres
• THE FINITE INFLATION OF A THICK-WALLED ELASTIC TORUS
• On the Elliptic Inclusion in Anti-Plane Shear
• A geometric theory of thermal stresses
• 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
• Riemannian Geometry
• Eshelby's conjecture in finite plane elastostatics
• Solutions to the Eshelby conjectures
• Swelling-induced microchannel formation in nonlinear elasticity
• The physical components of vectors and tensors

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