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On Eshelby’s inclusion problem in nonlinear anisotropic elasticity

Arash Yavari

Arash Yavari

School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

E-mail Address: arash.yavari@ce.gatech.edu

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https://doi.org/10.1142/S2424913021500028Cited by:12 (Source: Crossref)

Abstract

In this paper, the recent literature of finite eignestrains in nonlinear elastic solids is reviewed, and Eshelby’s inclusion problem at finite strains is revisited. The subtleties of the analysis of combinations of finite eigenstrains for the example of combined finite radial, azimuthal, axial and twist eigenstrains in a finite circular cylindrical bar are discussed. The stress field of a spherical inclusion with uniform pure dilatational eigenstrain in a radially-inhomogeneous spherical ball made of arbitrary incompressible isotropic solids is analyzed. The same problem for a finite circular cylindrical bar is revisited. The stress and deformation fields of an orthotropic incompressible solid circular cylinder with distributed eigentwists are analyzed.

Keywords:

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