Inclusion with Nonlinear Properties in Elastic Medium
Source abstract
Abstract
A problem of a single ellipsoidal inclusion in an elastic space is discussed. It is shown, that if such a system is loaded by uniform external stresses, then Eshelby's theorem (Eshelby, 1957, 1961) can be extended to inclusion with arbitrary physically non-linear properties.
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Research context
OpenAlex topics: Elasticity and Wave Propagation · Contact Mechanics and Variational Inequalities · Composite Material Mechanics
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References (2)
Show source-provided references
1. Eshelby, J.D. (1957) The determination of the elastic field on an ellipsoidal inclusion and related problems. Proc. Roy. Soc., A 241 , 376–392.
2. Eshelby, J.D. (1961) Elastic inclusions and inhomegeneities. Progress in Solid Mechanics V.2 (eds. I.N. Sneddon, R. Hill), North-Holland, Amsterdam, 89–140.