| 钟万勰.《余能理论》引领中国变分原理的研究[J].计算力学学报,2016,33(4):449~450 |
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| 《余能理论》引领中国变分原理的研究 |
| The paper "Principle of complementary energy" guides the research of variational principles in China |
| 投稿时间：2016-06-16 修订日期：2016-06-26 |
| DOI：10.7511/jslx201604003 |
| 中文关键词: |
| 英文关键词:peridynamics finite element method coupled model nonlocal discontinuous mechanics |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| Research progress of the hybrid modeling methods of peridynamics(PD)and the finite element method(FEM)is reviewed.All the basic principles and features of the existing hybrid modeling methods and the research work of our group on this topic are introduced.There are four types of existing hybrid modeling methods,including the displacement constraint method,force coupling method,morphing function method and submodeling method.Except submodeling method,the other ones belong to the concurrent multiscale analysis method,whose basic modeling idea is that the computational structure can be divided into peridynamic subregion,finite element subregions,and junction regions (or overlapping regions,or interface elements,or transition zones).The submodeling method can be regarded as an explicit and explicit analysis method.It is first solved by the FEM globally,then solved by PD locally.The computational accuracy of the junction and the ghost force need to be eliminated during the hybrid modeling.Through a comprehensive analysis,our group proposes a new approach to coupling the discretized PD and FEM based on the implicit scheme to take advantage of both methods.There is no longer an overlapping regions between PD subregions and FE subregions,therefore a truss element is introduced to bridge FE subregions and PD subregions.The FE nodes at the interface interact not only with other FE nodes of their connected elements,but also with PD points within the sphere of certain radius.As it has been proved to be effective and efficient in analyzing crack propagation problems,the proposed hybrid model is effective for failure analysis of engineering structures. |
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