一种用于模拟分层与屈曲耦合的多尺度策略及其优化
On a multiscale strategy and its optimization for the simulation of combined delamination and buckling
AI总结：
本文提出一种基于多尺度区域分解的非线性有限元并行迭代策略，用于模拟复合材料层合板中多个贯穿宽度分层与全局/局部屈曲的相互作用，并考虑分层表面接触，通过大规模自由度仿真验证了方法的快速收敛性和可扩展性。
摘要：
本文研究了一种计算策略，用于研究复合材料层合板中多个贯穿宽度分层与全局或局部屈曲之间的相互作用，同时考虑分层表面可能存在的接触。为了准确预测准静态响应，需要对结构进行非常精细的离散化，从而导致求解非常大且高度非线性的数值问题。本文采用非线性有限元公式以及基于多尺度区域分解的并行迭代方案来计算三维细观尺度模型。作者先前的工作已经涉及小扰动假设下的多尺度分层模拟。本文介绍了将几何非线性纳入现有多尺度框架的公式，并讨论了为在存在屈曲和分层的情况下确保方法快速收敛和可扩展性而对迭代过程进行的调整。这些调整通过涉及大量自由度的仿真进行了说明。
英文摘要：
This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated surfaces. In order to achieve an accurate prediction of the quasi-static response, a very refined discretization of the structure is required, leading to the resolution of very large and highly nonlinear numerical problems. In this paper, a nonlinear finite element formulation along with a parallel iterative scheme based on a multiscale domain decomposition are used for the computation of 3D mesoscale models. Previous works by the authors already dealt with the simulation of multiscale delamination assuming small perturbations. This paper presents the formulation used to include geometric nonlinearities into this existing multiscale framework and discusses the adaptations that need to be made to the iterative process in order to ensure the rapid convergence and the scalability of the method in the presence of buckling and delamination. These various adaptations are illustrated by simulations involving large numbers of DOFs.
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