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A level set based model for damage growth: The thick level set approach

机译:基于级别集的伤害增长模型:厚级别集方法

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摘要

In this paper, we introduce a new way to model damage growth in solids. A level set is used to separate the undamaged zone from the damaged zone. In the damaged zone, the damage variable is an explicit function of the level set. This function is a parameter of the model. Beyond a critical length, we assume the material to be totally damaged, thus allowing a straightforward transition to fracture. The damage growth is expressed as a level set propagation. The configurational force driving the damage front is non-local in the sense that it averages information over the thickness in the wake of the front. The computational and theoretical advantages of the new damage model are stressed. Numerical examples demonstrate the capability of the new model to initiate cracks and propagate them even in complex topological patterns (branching and merging for instance).
机译:在本文中,我们介绍了一种模拟固体中损伤增长的新方法。水平集用于将未损坏区域与损坏区域分开。在损坏区域中,损伤变量是级别集的显式函数。此功能是模型的参数。超过临界长度,我们假设材料已完全损坏,因此可以直接过渡到断裂。伤害增长表示为水平集传播。驱动损伤前沿的构型力是非局部的,因为它会在前沿的尾随厚度方向上平均信息。强调了新损伤模型的计算和理论优势。数值示例说明了新模型即使在复杂的拓扑模式(例如分支和合并)中也可以引发裂纹并传播裂纹。

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