The simulation of two-dimensional plane problems using ordinary state-based peridynamics

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-13 DOI:10.1515/ijnsns-2021-0320

Jingjing Zhao, Guangda Lu, Qing Zhang, W. Du

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引用次数: 1

Abstract

Abstract The ordinary state-based peridynamics (OSB PD) model is an integral nonlocal continuum mechanics model. And the three-dimensional OSB PD model can deal with linear elastic solid problems well. But for plane problems, the calculation results of existing models have large deviations. In this paper, a set of OSB PD models for plane problems is established by theoretical derivation. First, through the strain energy density function equivalence of peridynamics and classical continuum mechanics, the equivalent coefficients of the plane strain and plane stress problems of OSB PD are deduced. Then, consider the cantilever beam deformation simulation under concentrated load. The simulation results show that the maximum displacements are in good agreement with the corresponding analytical solutions in all directions. Finally, in the simulation of the slab with a hole, the two cases of uniform displacement and uniform load are considered, respectively. The simulation results are consistent with the ANSYS analysis results, and the deviation is small, which verifies the validity of the model.

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基于常态的周动力学模拟二维平面问题

摘要基于常态的周动力学（OSB-PD）模型是一个积分的非局部连续介质力学模型。三维OSB PD模型能够很好地处理线性弹性实体问题。但对于平面问题，现有模型的计算结果存在较大偏差。本文通过理论推导，建立了一组平面问题的OSB-PD模型。首先，通过周动力学和经典连续介质力学的应变能密度函数等效，推导了OSB PD平面应变和平面应力问题的等效系数。然后，考虑悬臂梁在集中荷载作用下的变形模拟。仿真结果表明，各方向的最大位移与相应的解析解吻合良好。最后，在有孔板的模拟中，分别考虑了均匀位移和均匀荷载两种情况。仿真结果与ANSYS分析结果一致，偏差较小，验证了模型的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.