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# eigenstrain

## Universality in Anisotropic Linear Anelasticity

Thu, 2022-06-16 13:55 - arash_yavariIn linear elasticity, universal displacements for a given symmetry class are those displacements that can be maintained by only applying boundary tractions (no body forces) and for arbitrary elastic constants in the symmetry class. In a previous work, we showed that the larger the symmetry group, the larger the space of universal displacements. Here, we generalize these ideas to the case of anelasticity. In linear anelasticity, the total strain is additively decomposed into elastic strain and anelastic strain, often referred to as an eigenstrain.

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## On Eshelby's Inclusion Problem in Nonlinear Anisotropic Elasticity

Tue, 2021-05-25 00:06 - arash_yavariThe 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.

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## The Anelastic Ericksen's Problem: Universal Eigenstrains and Deformations in Compressible Isotropic Elastic Solids

Mon, 2016-11-07 18:51 - arash_yavariThe elastic Ericksen's problem consists of finding deformations in isotropic hyperelastic solids that can be maintained for arbitrary strain-energy density functions. In the compressible case, Ericksen showed that only homogeneous deformations are possible. Here, we solve the anelastic version of the same problem, that is we determine both the deformations and the eigenstrains such that a solution to the anelastic problem exists for arbitrary strain-energy density functions. Anelasticity is described by finite eigenstrains.

## software for eigenstrain problem

Thu, 2012-07-19 20:53 - xiashengxuHi,

Is there some fem code or software that can handle eigenstrain while solving equilibrium equation?

Thanks!

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## Inverse eigenstrain analysis based on residual strains in the case of small strain geometric nonlinearity

Mon, 2010-12-20 11:49 - Sébastien TurcaudHi,

I was wondering if someone knows literature related to "**Inverse eigenstrain analysis** based on residual strains in the case of **small strain geometric nonlinearity**"? (elongated bodies)

In the case of lineralized elasticity I guess one could postulate an eigenstrain distribution as the sum of a finite set of basic eigenstrain distribution and minimize the difference between the predicted and the actual residual strain distribution (retrieved from a synchroton mapping for example).

As done in the paper:

## On Eshelby's two classics

Thu, 2008-07-17 22:31 - Mogadalai Gururajan- Read more about On Eshelby's two classics
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