Fourier Transform approach to boundary domain integral equations for elastic composites with domain decomposition and multi reference parameters - Mechanics
Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2024

Fourier Transform approach to boundary domain integral equations for elastic composites with domain decomposition and multi reference parameters

Résumé

In this paper, displacement and strain periodic boundary domain integral equations for homogenization problems of elastic composites are derived in the context of FFT homogenization methods. The resolution methods based on regular grids and discrete Green's tensors are presented. The displacement based equations can be used to solve problems in arbitrary domains under periodic and non-periodic boundary conditions. The strain based integral equation is obtained from the combination of the displacement based equations for different domains, each one having its own reference elasticity tensor. In the latter, the strain values inside every phases are connected to material mismatch parameters on the phase boundary. It was shown that by decomposing suitably domains by stiffness and using adapted reference parameters, the iteration schemes converge faster.
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vendredi 14 mars 2025
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Dates et versions

hal-04697652 , version 1 (14-09-2024)

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  • HAL Id : hal-04697652 , version 1

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Quy-Dong To, Guy Bonnet. Fourier Transform approach to boundary domain integral equations for elastic composites with domain decomposition and multi reference parameters. International Journal for Numerical Methods in Engineering, In press. ⟨hal-04697652⟩
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