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力学进展 ›› 2019, Vol. 49 ›› Issue (1): 201910-201910.doi: 10.6052/1000-0992-18-007

• 论文 • 上一篇    下一篇

多物理场耦合作用分析的近场动力学理论与方法

顾鑫1, 章青1,(), ErdoganMadenci2   

  1. 1河海大学力学与材料学院工程力学系, 南京 211100
    2 Department of Aerospace and Mechanical Engineering,University of Arizona,Tucson 85721, USA
  • 收稿日期:2018-04-25 接受日期:2018-09-05 出版日期:2019-01-15 发布日期:2019-03-04
  • 通讯作者: 章青 E-mail:lxzhangqing@hhu.edu.cn
  • 作者简介:

    作者简介:章青, 男, 博士, 河海大学力学与材料学院教授、博士生导师、工程力学国家重点学科学术带头人. 现任国际计算力学协会理事, 中国力学学会理事及计算力学专委会副主任, 南方计算力学联络委员会主任等多个学会的理事和常务理事. 《计算力学学报》《应用数学与力学》《力学季刊》《河海大学学报》 Journal of Peridynamics and Nonlocal Modeling 等期刊编委, 多个国际学术会议主席和学术委员会委员. 长期从事计算固体力学、工程材料的力学特性与本构理论、工程结构灾变破坏力学、多场耦合等问题的研究. 主持和参加国家重点基础研究发展计划、国家科技攻关、国家重点研发计划、国家自然科学基金和重点工程科研项目80余项, 在国内外学术刊物和会议上发表论文200余篇, 出版专著和教材9部.


  • 基金资助:
    国家自然科学基金项目(11672101,11372099)、国家重点研发计划(2017YFC1502603,2018YFC0406703)、江苏省自然科学基金项目(BK20151493)和2016年国家建设高水平大学公派研究生项目(201606710089)资助.

Review of peridynamics for multi-physics coupling modeling

Xin GU1, Qing ZHANG1,(), Erdogan MADENCI2   

  1. 1 Department of Engineering Mechanics,College of Mechanics and Material,Hohai University, Nanjing 211100, China
    2 Department of Aerospace and Mechanical Engineering,University of Arizona, Tucson 85721, USA
  • Received:2018-04-25 Accepted:2018-09-05 Online:2019-01-15 Published:2019-03-04
  • Contact: Qing ZHANG E-mail:lxzhangqing@hhu.edu.cn

摘要:

广义来说, 近场动力学(peri-dynamics,PD)是假设每个物质点在承受一定范围内的非接触相互作用下,研究整个物理系统演化过程的理论,为涉及非连续和非局部相互作用的问题提供了一个统一的数学框架,具有广泛的适用性.在简要介绍诸多工程对于多物理场模型和数值计算软件的迫切需求后,针对现有商用软件在处理结构非连续演化问题时遇到的瓶颈,引入近场动力学理论和方法. 概述近场动力学固体力学模型,系统阐述近场动力学扩散模型和近场动力学多物理场耦合建模的研究现状和进展,主要涉及电子元器件、电子封装和岩土工程领域的多物理场耦合建模,包括热--力、湿--热--力、热--氧、热--力--氧、力--电、热--电、力--热--电、多孔介质的水--力流固相互作用等非耦合、半耦合与完全耦合模型,强调发展耦合方程数值解法的重要性.最后对扩散问题和多物理场耦合问题的近场动力学理论模型、数值算法和工程应用做进一步展望.

关键词: 近场动力学, 非局部理论, 多物理场, 耦合建模

Abstract:

Generally, peridynamics is a theory focusing on the evolution of a physical system, which is based on the assumption that each material point interacts with the other material points within a certain domain through non-contact or nonlocal interactions. It provides a unified mathematical framework for analyzing problems involving the evolving discontinuities and nonlocality. After a brief introduction of the peridynamic solid models and the urgent requirements on multi-physics models and corresponding commercial software, which have the capability of dealing with the evolving discontinuities, we made a systematic review on peridynamic nonlocal diffusion and peridynamic multi-physics coupled modeling. It can be found that the existing multi-physics coupled modeling studies mostly concentrated on the problems in the electronic components, electronic packaging and geotechnical engineering fields, including the un-coupled, partial coupled and fully coupled models about thermo-mechanics, hygro-thermo-mechanics, thermo-oxidative, thermo-mechanics-oxidative, mechanics-electronics, thermo-electronics, thermo-mechanics-electronics, fluid-solid interaction model for porous medium. Finally, several potential problems in the theoretical model, numerical algorithm and engineering application of peridynamic diffusion modeling and multi-physics coupled modeling are suggested.

Key words: peridynamics, nonlocal theory, multi-physics field, coupled modeling

中图分类号: 

  • O33