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eigenstrain

Arash_Yavari's picture

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

The 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

Hi,

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

 Thanks!

 

 

Sébastien Turcaud's picture

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

Hi,

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:

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