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A multiscale cohesive zone model and simulations of fractures

机译：多尺度粘结带模型和裂缝模拟

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In this work, a novel multiscale cohesive zone model is proposed, in which the bulk material is modeled as a local quasi-continuum medium that obeys the Cauchy-Born rule while the cohesive force and displacement relations inside the cohesive zone are governed by a coarse grained depletion potential. The interface depletion potential is constructed based on the Derjaguin approximation of nonlocal colloidal interactions. By doing so, the interface constitutive descriptions are made genetically consistent with the bulk constitutive relations that are enriched from underneath atomistic structure. The method provides an effective means to describe properties of material inhomogeneities such as grain boundaries, bi-material interfaces, slip lines, and inclusions, etc. We have developed and implemented the proposed multiscale cohesive zone model in a cohesive finite element weak Galerkin formulation, and we have applied it to simulate dynamic fracture problems in solids. The numerical simulation results have shown that the method has successfully captured the phenomenon of spall fracture during simulations of impacts and penetrations.
机译：在这项工作中，提出了一种新颖的多尺度凝聚带模型，其中将块状材料建模为服从柯西-波恩定律的局部准连续介质，而凝聚带内部的凝聚力和位移关系则由粗糙的区域来控制。颗粒耗尽潜力。基于非局部胶体相互作用的Derjaguin逼近来构造界面耗尽电势。通过这样做，使界面本构描述在遗传上与从原子结构下方丰富的整体本构关系一致。该方法提供了一种有效的手段来描述材料不均匀性的特性，例如晶界，双材料界面，滑移线和夹杂物等。我们已经开发并实现了拟定的多尺度内聚力区域模型，该内聚力有限元弱Galerkin公式，我们已将其应用于模拟固体中的动态断裂问题。数值模拟结果表明，该方法已经成功地捕获了冲击和穿透过程中的剥落现象。

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