Work

Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters

Year: 2024

Type: article

Abstract: ABSTRACT In this article, 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.

Source: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.7601

Authors: Quy‐Dong To, Guy Bonnet

Institutions: Centre National de la Recherche Scientifique, Université Paris-Est Créteil, Université Gustave Eiffel, Laboratoire Modélisation et Simulation Multi-Echelle

Language: English

Topic: Composite Material Mechanics

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4403368602

FWCI: 0.305

Cites: 35

Cited by: 2

Related to: 10