Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
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DOI：
10.1016/j.engfracmech.2018.02.006
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发表时间：
2018-06
影响因子：
5.4
通讯作者：
Yile Hu;Hailong Chen;B. Spencer;E. Madenci
中科院分区：
文献类型：
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作者：
Yile Hu;Hailong Chen;B. Spencer;E. Madenci
基于近场动力学理论的模型中解域的不规则非均匀离散化可以通过允许局部细化来提高计算效率，并消除网格偏差对裂纹萌生和扩展的影响。然而，使用这种离散化通常需要调整经典近场动力学材料参数并使用可变视界，这会在不同视界之间的相互作用中产生所谓的鬼力效应。本研究提出了原始基于键和基于普通状态的近场动力学模型的概括，以允许使用不规则的非均匀域离散化，其中与两个材料点之间的键相关的应变能和热势根据体积比分为两部分。由于存在不规则的非均匀离散化，这种划分对于每个键来说可能是不同的。该方法的有效性和准确性是通过几个基准示例建立的，并且通过对三维核燃料芯块中的热致裂纹进行建模来证明其对实际工程问题的适用性。
Irregular non-uniform discretization of the solution domain in models based on peridynamic theory can improve computational efficiency by allowing local refinement and remove mesh bias effects on crack initiation and propagation. However, the use of such discretizations generally requires adjustment of the classical peridynamic material parameters and usage of a variable horizon which results in the so-calledghost forceeffect in the interactions between differing horizons. This study presents a generalization of the original bond-based and ordinary state-based peridynamic models to permit the use of irregular non-uniform domain discretizations, in which the strain energy and thermal potential associated with a bond between two material points is split into two parts based on volumetric ratios. This division is potentially different for each bond due to the presence of irregular non-uniform discretization. The validity and accuracy of this proposed approach is established using several benchmark examples, and its applicability to real engineering problems is demonstrated by modeling thermally induced cracking in a three-dimensional nuclear fuel pellet.