Abstract

The integral-differential governing equation gives peridynamics an advantage in conducting homogenization analysis that involves defects. The purpose of this research is to provide a novel homogenization modeling approach that utilizes ordinary state-based peridynamics to predict the elastic properties of periodic microstructures. The periodic boundary conditions are applied by coupling the displacement of prebuilt point pairs. Peridynamic differential operator is employed to determine the displacement gradient and stress field. And the volume average method is used to obtain the effective elastic properties. The present study introduces a new approach for determining the effective properties of micro-structured materials featuring defects in a periodic configuration.

Graphical abstract

中文翻译：

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一种基于近场动力学的均匀化方法来计算周期性微结构的有效特性

摘要

积分微分控制方程使近场动力学在进行涉及缺陷的均匀化分析时具有优势。本研究的目的是提供一种新颖的均质化建模方法，利用普通的基于状态的近场动力学来预测周期性微结构的弹性特性。通过耦合预建点对的位移来应用周期性边界条件。采用近场动力学微分算子来确定位移梯度和应力场。并采用体积平均法获得有效弹性性能。本研究介绍了一种新方法，用于确定具有周期性配置缺陷的微结构材料的有效性能。

图形概要