Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity
From MaRDI portal
Publication:837373
DOI10.1016/j.ijsolstr.2007.10.030zbMath1169.74337OpenAlexW1986007355MaRDI QIDQ837373
Qi-Chang He, Hung Le Quang, Quan-Shui Zheng
Publication date: 10 September 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.10.030
inclusionsanisotropyEshelby tensoranti-plane elasticitythermal conductiontransport phenomenaEshelby problem
Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Thermal effects in solid mechanics (74F05)
Related Items (12)
Solution for Eshelby's elliptic inclusion with polynomials distribution of the eigenstrains in plane elasticity ⋮ Strain gradient solution for the Eshelby-type anti-plane strain inclusion problem ⋮ Numerical solution of Eshelby's elastic inclusion problem in plane elasticity by using boundary integral equation ⋮ Strain gradient solution for a finite-domain Eshelby-type plane strain inclusion problem and Eshelby's tensor for a cylindrical inclusion in a finite elastic matrix ⋮ An Eshelby inclusion of arbitrary shape in a nonlinearly coupled thermoelectric material ⋮ An Eshelby inclusion in a nonlinearly coupled thermoelectric bi‐material and tri‐material ⋮ Solution of the Eshelby-type anti-plane strain polygonal inclusion problem based on a simplified strain gradient elasticity theory ⋮ Inclusions inside a bounded elastic body undergoing anti-plane shear ⋮ Novel cloaking lamellar structures for a screw dislocation dipole, a circular Eshelby inclusion and a concentrated couple ⋮ Eshelby's problem of non-elliptical inclusions ⋮ Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section ⋮ Non-uniform Eshelby's tensor inside a spherical inclusion in a functionally graded space in transport phenomena
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytical exact solutions of heat conduction problems for anisotropic multi-layered media
- Green's function solution and displacement potentials for transformed transversely isotropic materials
- The energy of inclusions in linear media exact shape-independent relations
- Analytical solution for heat conduction in anisotropic media in infinite, semi-infinite, and two-plane-bounded regions
- On the shape of the Eshelby inclusions
- On the absence of Eshelby property for non-ellipsoidal inclusions
- The description, classification, and reality of material and physical symmetries
- The determination of the elastic field of a polygonal star shaped inclusion
- Irreducible decompositions of physical tensors of high orders
- Eshelby tensor of a polygonal inclusion and its special properties
- Inclusions with constant eigenstress
- On the modified Green operator integral for polygonal, polyhedral and other non-ellipsoidal inclusions
- A transformation of elastic boundary value problems with application to anisotropic behavior
- Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity
- On linking \(n\)-dimensional anisotropic and isotropic Green's functions for infinite space, half-space, bimaterial, and multilayer for conduction
- The arithmetic mean theorem of Eshelby tensor for a rotational symmetrical inclusion
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Dislocations in visco-elastic materials
- Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems
- Two-dimensional tensor function representation for all kinds of material symmetry
- Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains
- Une transformation du problème d'élasticité linéaire en vue d'application au problème de l'inclusion et aux fonctions de Green
- The Theory of Composites
This page was built for publication: Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity