On interpolation of homogenized coefficients for analysis of large deformation

Abstract eng:
The paper deals with the method of interpolation of the homogenized effective material parameters which are computed by solving local microscopic boundary value problems. These coefficients constitute the tangent operator employed to linearise the problem of finite deformation. Due to finite deformations, the microscopic problems are only locally periodic and the effective coefficients as well. The proposed interpolation scheme enables to reduce wisely the number of microscopic problems that have to be solved to recover the macroscopic domain with relevant effective coefficients.

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