A three-scale domain decomposition method for the 3D analysis of debonding in laminates

TL;DR

This paper introduces a scalable three-scale domain decomposition method using LaTIn-based iterative solvers for efficient 3D analysis of debonding in laminated structures, addressing complex mesoscale problems with enhanced stability.

Contribution

It presents a novel three-scale domain decomposition approach with multiscale features and stability enhancements for analyzing debonding in laminates.

Findings

Method achieves scalability for large mesoscale problems

Enables accurate simulation of debonding phenomena

Includes extensions for handling instabilities

Abstract

The prediction of the quasi-static response of industrial laminate structures requires to use fine descriptions of the material, especially when debonding is involved. Even when modeled at the mesoscale, the computation of these structures results in very large numerical problems. In this paper, the exact mesoscale solution is sought using parallel iterative solvers. The LaTIn-based mixed domain decomposition method makes it very easy to handle the complex description of the structure; moreover the provided multiscale features enable us to deal with numerical difficulties at their natural scale; we present the various enhancements we developed to ensure the scalability of the method. An extension of the method designed to handle instabilities is also presented.