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报告题目：Coupling of an atomistic model and peridynamic model using an extended Arlequin framework

报告人：张洁琼 博士 西北大学

邀请人：董灏博士

报告时间：2022年11月26日(星期六)上午09:00-12:00

腾讯会议ID：474-233-161 会议链接：https://meeting.tencent.com/dm/iAJb3YPr0lVf

报告人简介：张洁琼，博士，2020年7月毕业于西北工业大学并获得理学博士学位，现为西北大学数学学院教师，研究方向主要为多尺度耦合建模及计算、材料损伤及断裂的非局部模型及理论。在“Computational mechanics”和“Computer Methods in Applied Mechanics and Engineering”共发表论文3篇。

报告摘要：A general nonlocal coupling technique between an atomistic (AM) model and the bond-based peridynamic (PD) model is proposed, based on the Arlequin framework. This technique applies the complementary weight function and constraint conditions to transmit energies through the overlapping region between the AM and PD regions. We extend the original Arlequin framework to discrete cases by redefining constraint conditions by the peridynamic differential operator, which enables the interpolation and corresponding derivative of scattered data. Besides, the preconditioning of calibration for the PD effective micromodulus is implemented to guarantee the equilibrium of energy. One-dimensional benchmark tests investigate the coupling effects influenced by several key factors, including the coupling length, weight function, grid size and horizon in the PD model, and constraint conditions. Two- and three-dimensional numerical examples are provided to verify the applicability and effectiveness of this coupling model. Results illustrate this AM–PD coupling model takes the mutual advantages of the computational efficiency of PD model and the accuracy of AM model, which provides a flexible extension of the Arlequin framework to couple particle methods.