A new method for modelling cohesive cracks using finite elements

A new method for modelling cohesive cracks using finite elements
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DOI:
10.1002/nme.143
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发表时间:
2001-04
影响因子:
2.9
通讯作者:
G. N. Wells;L. Sluys
G. N. Wells;L. Sluys
中科院分区:
工程技术3区
文献类型:
--
作者:
G. N. Wells;L. Sluys

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一个模型,它允许引入位移跳到传统的有限元开发。不连续的路径是完全独立的网格结构。与基于非协调应变模式的所谓“嵌入式不连续”模型不同,该模型对可使用的基础实体有限元类型没有限制,并且位移跳跃在单元边界上是连续的。利用有限元形函数作为单位分割,裂纹上的位移跃变由现有节点处的额外自由度来表示。为了模拟准脆性非均匀材料中的断裂,使用内聚裂纹模型。数值模拟表明,该方法能够客观地模拟裂缝与非结构化网格。版权所有© 2001约翰威利父子有限公司。
A model which allows the introduction of displacements jumps to conventional finite elements is developed. The path of the discontinuity is completely independent of the mesh structure. Unlike so‐called ‘embedded discontinuity’ models, which are based on incompatible strain modes, there is no restriction on the type of underlying solid finite element that can be used and displacement jumps are continuous across element boundaries. Using finite element shape functions as partitions of unity, the displacement jump across a crack is represented by extra degrees of freedom at existing nodes. To model fracture in quasi‐brittle heterogeneous materials, a cohesive crack model is used. Numerical simulations illustrate the ability of the method to objectively simulate fracture with unstructured meshes. Copyright © 2001 John Wiley & Sons, Ltd.