Adaptive spatiotemporal dimension reduction in concurrent multiscale damage analysis
Adaptive spatiotemporal dimension reduction in concurrent multiscale damage analysis
复制标题
并发多尺度损伤分析中的自适应时空降维
DOI：
10.1007/s00466-023-02299-7
复制
发表时间：
2023
影响因子：
4.1
通讯作者：
Bostanabad, Ramin
中科院分区：
文献类型：
--
作者：
Deng, Shiguang;Apelian, Diran;Bostanabad, Ramin
并行多尺度损伤模型常被用来量化制造引起的微孔对宏观金属构件损伤响应的影响。然而，这些模型的主要数值问题，包括网格依赖性，收敛困难，和低精度的浓度区域的挑战。在本文中，我们做了两个贡献，以解决这些困难。首先，我们发展了一种新的非线性本构模型的自适应无装配隐式-显式（AAF-IE）时间积分方法。该方案防止了隐式算法在软化过程中面临的收敛问题。我们的AAF-IE方案自动调整步长以捕获复杂的历史相关变形。它还省去了重新组装弹塑性和损伤模型中的刚度矩阵，这反过来又大大减少了记忆足迹。其次，我们提出了一个自适应的基于聚类的区域分解策略，以显着减少空间自由度凝聚成有限数量的集群附近的有限元节点。我们的自适应聚类方案具有静态和动态阶段，分别在离线和在线分析期间进行。该自适应策略根据塑性应变的空间不连续性更新簇密度。数值实验表明，所提出的自适应方法在裂缝模拟的效率和精度之间取得了很好的平衡。特别是，我们使用我们的高效并发多尺度模型来量化的空间变化的微观孔隙度的宏观结构的软化行为的意义。
Concurrent multiscale damage models are often used to quantify the impacts of manufacturing-induced micro-porosity on the damage response of macroscopic metallic components. However, these models are challenged by major numerical issues including mesh dependency, convergence difficulty, and low accuracy in concentration regions. In this paper, we make two contributions to address these difficulties. Firstly, we develop a novel adaptive assembly-free implicit-explicit (AAF-IE) temporal integration scheme for nonlinear constitutive models. This scheme prevents the convergence issues that implicit algorithms face amid softening. Our AAF-IE scheme autonomously adjusts step sizes to capture intricate history-dependent deformations. It also dispenses with re-assembling the stiffness matrices in elasto-plasticity and damage models which, in turn, dramatically reduces memory footprints. Secondly, we propose an adaptive clustering-based domain decomposition strategy to dramatically reduce the spatial degrees of freedom by agglomerating close-by finite element nodes into a limited number of clusters. Our adaptive clustering scheme has static and dynamic stages that are carried out during offline and online analyses, respectively. The adaptive strategy updates the cluster density based on the spatial discontinuity of the plastic strain. As demonstrated by numerical experiments, the proposed adaptive method strikes a good balance between efficiency and accuracy for fracture simulations. In particular, we use our efficient concurrent multiscale model to quantify the significance of spatially varying microscopic porosity on a macrostructure’s softening behavior.
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DOI：
10.32604/cmes.2021.016756
发表时间：
2021
期刊：
Computer Modeling in Engineering & Sciences
影响因子：
--
作者：
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通讯作者：
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影响因子：
5.3
作者：
Lu;Yuxi Xie;Dandan Lyu;Shaofan Li
通讯作者：
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影响因子：
7.2
作者：
Q. To;G. Bonnet
通讯作者：
G. Bonnet
DOI：
10.1007/s11661-013-1669-z
发表时间：
2013-02
期刊：
Metallurgical and Materials Transactions A
影响因子：
--
作者：
R. Hardin;C. Beckermann
通讯作者：
R. Hardin;C. Beckermann
影响因子：
4.1
作者：
Shiguang Deng;Carl Soderhjelm;D. Apelian;R. Bostanabad
通讯作者：
Shiguang Deng;Carl Soderhjelm;D. Apelian;R. Bostanabad