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- Title
Eshelby's conjecture in finite plane elastostatics.
- Authors
KIM, C. I.; VASUDEVAN, M.; SCHIAVONE, P.
- Abstract
We consider an inhomogeneity–matrix system from a particular class of compressible hyper- elastic materials of harmonic type undergoing finiteplane deformations. We discuss the analogue of Eshelby's conjecture for this class of materials. Specifically, we examine whether the stress distribution inside an inhomogeneity is uniform if and only if the inhomogeneity is elliptic when the system is subjected to uniform remote stress.
- Subjects
MATRICES (Mathematics); LOGICAL prediction; ELASTICITY; STRESS concentration; ANALYTIC functions
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2008, Vol 61, Issue 1, p63
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbm024