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首页> 外文期刊>Mathematical Problems in Engineering >Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method
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Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method

机译：有限元法确定脆性材料裂纹模式的简化定性离散数值模型

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摘要

This paper presents the formulation, implementation, and validation of a simplified qualitative model to determine the crack path of solids considering static loads, infinitesimal strain, and plane stress condition. This model is based on finite element method with a special meshing technique, where nonlinear link elements are included between the faces of the linear triangular elements. The stiffness loss of some link elements represents the crack opening. Three experimental tests of bending beams are simulated, where the cracking pattern calculated with the proposed numerical model is similar to experimental result. The advantages of the proposed model compared to discrete crack approaches with interface elements can be the implementation simplicity, the numerical stability, and the very low computational cost. The simulation with greater values of the initial stiffness of the link elements does not affect the discontinuity path and the stability of the numerical solution. The exploded mesh procedure presented in this model avoids a complex nonlinear analysis and regenerative or adaptive meshes.
机译：本文介绍了一种简化的定性模型的制定，实施和验证，该模型可以在考虑静态载荷，最小应变和平面应力条件的情况下确定固体的裂纹路径。该模型基于具有特殊网格划分技术的有限元方法，其中线性三角形元素的面之间包含非线性链接元素。一些连接元件的刚度损失代表裂纹的开度。模拟了弯曲梁的三个实验测试，使用该数值模型计算出的裂纹模式与实验结果相似。与具有接口元素的离散裂纹方法相比，所提出的模型的优点是实现简单，数值稳定以及计算成本非常低。链接单元的初始刚度值较大的模拟不会影响不连续路径和数值解的稳定性。该模型中呈现的分解网格程序避免了复杂的非线性分析以及可再生或自适应网格。

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