International Journal of Fracture

, Volume 202, Issue 2, pp 129–134 | Cite as

The driving force on the boundary of a self-similarly expanding Eshelby spherical inclusion



The “driving force” per unit area on the boundary of a spherical self-similarly expanding Eshelby inclusion with general eigenstrain \(\epsilon ^*_{ij}\) is obtained. It is independent of r and t, and depends only on the wave speeds a and b, and the expansion velocity \(\upsilon \). It is, thus, the same at the initial time \(t =0\) when the expansion starts from the zero dimension.


Elastodynamics Transformation strain Self similarity Spherical inclusion 



This work was supported by the National Science Foundation grant CMS 1129888.


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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaLa Jolla, San DiegoUSA

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