A multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-04-15 DOI:10.1016/j.mechrescom.2024.104275

Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer

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引用次数: 0

Abstract

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Here, we apply Peridynamic (PD) enrichment to propagate cracks in the PUM global–local enrichment scheme. We apply linear elasticity globally and PD over local zones where fractures occur. The elastic fields provide appropriate boundary data for local PD simulations on a subdomain containing the crack tip to grow the crack. Once the updated crack path is found the elastic field in the body and surrounding the crack is updated using the PUM basis with an elastic field enrichment near the crack. The subdomain for the PD simulation is chosen to include the current crack tip as well as features that influence crack growth. This paper is part II of this series and validates the combined PD/PUM simulator against the experimental results. The results of numerical simulation show that we attain good agreement between experiment and simulation with a local PD subdomain that is moving with the crack tip and adaptively chosen size.

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在自适应统一分区中使用周动态丰富有限元的多尺度断裂模型：实验验证

统一分割法（PUM）属于域分解类型，为多尺度和多物理场数值建模提供了机会。在这里，我们在 PUM 全局-局部富集方案中应用周动力（PD）富集来传播裂缝。我们在全球范围内应用线性弹性，并在出现裂缝的局部区域应用 PD。弹性场为包含裂缝尖端的子域上的局部 PD 模拟提供了适当的边界数据，以扩展裂缝。一旦找到更新的裂缝路径，就会使用 PUM 基础更新主体和裂缝周围的弹性场，并在裂缝附近丰富弹性场。PD 模拟的子域选择包括当前裂纹尖端以及影响裂纹生长的特征。本文是该系列的第二部分，根据实验结果对 PD/PUM 组合模拟器进行了验证。数值模拟的结果表明，我们利用随裂纹尖端移动的局部 PD 子域和自适应选择的尺寸，在实验和模拟之间取得了良好的一致性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.