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Thermomechanical peridynamic analysis with irregular non-uniform domain discretization

机译：具有不规则非均匀域离散化的热机械性逆动器分析

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摘要

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-called ghost force effect 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.
机译：基于白表理论的模型中的溶液结构域的不规则非均匀离散化可以通过允许局部细化和去除对裂纹启动和传播的筛网偏置效应来提高计算效率。然而，这种离散化通常需要调整经典的白动力学材料参数和可变地平线的使用，这导致所谓的幽灵力效应在不同地平线之间的相互作用中。本研究提出了原始键合和普通状态的白动力学模型的概括，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粘合相关的应变能量和热电位被分成两个基于体积比的零件。由于存在不规则的非均匀离散化，该司对每个债券可能不同。使用多个基准示例建立了这种方法的有效性和准确性，通过在三维核燃料颗粒中进行热诱导的裂缝来证明其对实际工程问题的适用性。

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