Comparison of Interfacial and Continuum Models for Dynamic Fragmentation Analysis

Comparison of Interfacial and Continuum Models for Dynamic Fragmentation Analysis
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DOI:
10.1115/imece2018-88294
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发表时间:
2018-11
期刊:
Volume 9: Mechanics of Solids, Structures, and Fluids
影响因子:
--
通讯作者:
B. Bahmani;P. Clarke;R. Abedi
B. Bahmani;P. Clarke;R. Abedi
中科院分区:
其他
文献类型:
--
作者:
B. Bahmani;P. Clarke;R. Abedi

文献摘要

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微结构设计对脆性材料的断裂响应有重要影响。本文提出了一种随机体损伤模型来模拟动态脆性断裂。该模型进行了比较,一个类似的界面模型,均质和非均质材料。损伤模型是率相关的,相应的损伤演化包括延迟效应。延迟效果提供了网格的客观性与少得多的计算工作。一个随机场定义的材料的凝聚力和断裂强度,涉及微结构的影响,在建议的配方。通过Karhunen-Loeve(KL)方法构建统计场。一个先进的异步时空间断伽辽金(aSDG)方法被用来离散最终的耦合方程组。通过单轴压缩载荷下岩石的动态断裂模拟表明所提出的公式的应用。计算结果表明,随机体损伤模型比均匀化模型更符合实际情况。
The microstructural design has an essential effect on the fracture response of brittle materials. We present a stochastic bulk damage formulation to model dynamic brittle fracture. This model is compared with a similar interfacial model for homogeneous and heterogeneous materials. The damage models are rate-dependent, and the corresponding damage evolution includes delay effects. The delay effect provides mesh objectivity with much less computational efforts. A stochastic field is defined for material cohesion and fracture strength to involve microstructure effects in the proposed formulations. The statistical fields are constructed through the Karhunen-Loeve (KL) method. An advanced asynchronous Spacetime Discontinuous Galerkin (aSDG) method is used to discretize the final system of coupled equations. Application of the presented formulation is shown through dynamic fracture simulation of rock under a uniaxial compressive load. The final results show that a stochastic bulk damage model produces more realistic results in comparison with a homogenizes model.