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Sensitivity strategies in modelling heterogeneous media undergoing finite deformation

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  • Rohan, Eduard

Abstract

This paper deals with homogenization of microscopically heterogeneous media which are subjected to finite deformations. The updated Lagrangian scheme is applied to obtain linear subproblems which can be homogenized using the two-scale convergence. Microscopic equations and homogenized stiffness coefficients are derived for the hyperelastic material with incompressible inclusions. A sensitivity analysis of homogenized coefficients is proposed to study their dependence on local deformations of the microstructure. This approach can assist in reducing the number of the local microscopic equations that have to be solved in each iteration of macroscopic problems.

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  • Rohan, Eduard, 2003. "Sensitivity strategies in modelling heterogeneous media undergoing finite deformation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 261-270.
    • Handle: RePEc:eee:matcom:v:61:y:2003:i:3:p:261-270
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    Cited by:

    1. Rohan, E. & Cimrman, R., 2012. "Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1744-1772.
    2. Rohan, E. & Lukeš, V., 2015. "Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 583-595.

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