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Virtual elements and zero thickness interface-based approach for fracture analysis of heterogeneous materials

机译：基于虚拟元素和零厚度界面的异质材料断裂分析方法

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摘要

A novel procedure for analyzing fracture processes in quasi-brittle materials and consisting in combining the discrete crack approach by means of interface elements with the Virtual Element Method is proposed and developed in this work. In particular, the proposed procedure is used in the simulation of non-linear mechanical response and cracking of cement-based composites at the mesoscopic level of observation. Thereby three components are recognized: mortar, coarse aggregates and mortar-aggregate interfaces. In this regard VEM constitutes a powerful and efficient tool to represent the complex geometries of the inclusions in composite materials, such as coarse aggregates in concrete. Actually, patches with any number of edges (not necessarily convex), hanging nodes, flat angles, collapsing nodes, etc., can be easily handled in the VEM framework while retaining the same approximation properties of FEM. On the other hand, classical zero-thickness interface elements (IEs) are employed for modeling stress-crack opening processes. A series of numerical results, not only at the mesoscopic but also at the macroscopic level of observation, are presented to demonstrate the soundness and capabilities of the proposed approach based on combinations of VEM and IEs. (C) 2018 Elsevier B.V. All rights reserved.
机译：在这项工作中，提出并开发了一种用于分析准脆性材料断裂过程的新方法，该方法将界面元素的离散裂纹方法与虚拟元素方法相结合。特别地，在介观观察水平上，所提出的程序被用于模拟水泥基复合材料的非线性机械响应和开裂。因此，可以识别出三个组成部分：砂浆，粗骨料和砂浆-骨料界面。在这方面，VEM构成了一种强大而有效的工具，可以表示复合材料中夹杂物的复杂几何形状，例如混凝土中的粗骨料。实际上，可以在VEM框架中轻松处理具有任意数量的边缘（不一定是凸面），悬挂节点，平角，塌陷节点等的面片，同时保留FEM的相同近似属性。另一方面，经典的零厚度界面元素（IE）用于建模应力裂纹打开过程。提出了一系列数值结果，不仅在介观方面，而且在宏观观察方面，都证明了基于VEM和IE组合的建议方法的可靠性和功能性。 （C）2018 Elsevier B.V.保留所有权利。

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