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首页> 外文期刊>Engineering Fracture Mechanics >Fracture of quasi-brittle solids by continuum and discrete-crack damage models and embedded discontinuity formulation
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Fracture of quasi-brittle solids by continuum and discrete-crack damage models and embedded discontinuity formulation

机译：Quasi-脆固体的骨折由连续体和离散裂纹损伤模型和嵌入式不连续式制剂

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摘要

We derive a finite element formulation for modelling fracture in 2d quasi-brittle solids. The kinematics of isoparametric quadrilateral is enriched by strong discontinuity in displacements in order to capture the discrete crack opening and sliding. To describe both the bulk and crack-surface dissipative phenomena induced by the crack propagation, a combination of continuum and discrete damage models is used. The continuum damage model describes dissipation in the bulk, which mainly occurs ahead of the crack front. The discrete damage model includes two uncoupled rigid-damage cohesive laws to deal with fracture energy release due to crack propagation in modes I and II. The numerical solution strategy is based on a local-global operator-split procedure and incorporates a crack-tracking algorithm for enforcing continuity of the crack path. Numerical examples illustrate very satisfying performance of the derived formulation in terms of mesh independency and robustness. The sensitivity of results on material parameters for mixed mode fracture is also illustrated.
机译：我们衍生有限元配方，用于在2D准脆性固体中建模骨折。在位移中的强烈不连续性中富集了异戊酰胺四边形的运动学，以捕获离散裂缝开口和滑动。为了描述由裂缝扩展引起的体积和裂纹表面耗散现象，使用连续um和离散损伤模型的组合。连续损伤模型描述了散装中的耗散，主要发生在裂缝前面。离散损伤模型包括两个未耦合的刚性损伤粘性定律，以处理由于模式I和II的裂纹传播导致的断裂能量释放。数值解决方案策略基于本地全局运营商分离过程，并结合了一种用于强制裂缝路径的连续性的裂缝跟踪算法。数值示例说明了在网格独立性和鲁棒性方面非常满足导出的制剂的性能。还示出了结果对混合模式裂缝材料参数的敏感性。

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