应用数学和力学2024,Vol.45Issue(10) :1345-1358.DOI:10.21656/1000-0887.450006

基于PD-FEM混合模型的材料热力耦合损伤分析

Thermal-Mechanical Coupling Damage Analysis of Material Based on PD-FEM Hybrid Model

曾金宝 姜翠香 张益豪
应用数学和力学2024,Vol.45Issue(10) :1345-1358.DOI:10.21656/1000-0887.450006

基于PD-FEM混合模型的材料热力耦合损伤分析

Thermal-Mechanical Coupling Damage Analysis of Material Based on PD-FEM Hybrid Model

曾金宝 1姜翠香 1张益豪1
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作者信息

  • 1. 武汉科技大学 理学院,武汉 430065
  • 折叠

摘要

提出了一种新的近场动力学-有限元方法(peridynamics-finite element method,PD-FEM)混合模型.该模型用于求解材料热力耦合损伤问题,将求解域划分为近场动力学(PD)区域和有限元方法(FEM)区域,通过FEM节点与PD物质点构成的混合键连接各个子区域.采用该模型对氧化铝陶瓷板在热冲击载荷作用下的损伤行为进行了模拟分析,计算结果表明,采用该混合模型获得的裂纹萌生及扩展与实验研究结果吻合良好,验证了该模型的正确性.该PD-FEM混合模型继承了PD处理不连续问题的优势,同时,由于FEM的引入,大大提高了PD方法在研究材料热力耦合损伤问题时的求解效率.

Abstract

A new PD-FEM(peridynamics-finite element method)hybrid model method was proposed for sol-ving thermal-mechanical coupling problems.Its solution region was divided into peridynamics and finite element subregions.The hybrid bonds introduced to mixed these two subregions were composed of finite element nodes and peridynamics material points.The hybrid model was used to simulate damage behavior of alumina ceramic plates under thermal shock loads.Calculation results showed that the cracks initiation and propagation obtained by the hybrid model were in good agreement with experiment results,which validated the accuracy and availa-bility of the hybrid model.The PD-FEM hybrid model inherits the advantage of peridynamics in dealing with dis-continuous problems.Because the finite element method is introduced,the model significantly improves the ef-ficiency of studying thermal-mechanical coupling problems using peridynamics method.

关键词

热力耦合/近场动力学/PD-FEM模型/裂纹/损伤

Key words

thermal-mechanical coupling/peridynamics/PD-FEM model/crack/damage

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基金项目

武汉科技大学省部共建耐火材料与冶金国家重点实验室基金(G201407)

出版年

2024
应用数学和力学
重庆交通学院

应用数学和力学

CSTPCDCSCD北大核心
影响因子:0.778
ISSN:1000-0887
参考文献量28
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