Review of peridynamics for multi-physics coupling modeling |
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Authors: | GU Xin ZHANG Qing MADENCI Erdogan |
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Institution: | 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 |
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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. |
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Keywords: | peridynamics nonlocal theory multi-physics field coupled modeling |
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