Numerical aspects of cohesive-zone models
Numerical aspects of cohesive-zone models
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DOI：
10.1016/s0013-7944(03)00122-x
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发表时间：
2003-09-01
影响因子：
5.4
通讯作者：
de Borst, R
中科院分区：
文献类型：
--
作者：
de Borst, R
强调了内聚区方法在分析工程材料的局部化和失效方面的重要性，并讨论了将内聚区方法纳入计算方法的各种方法。粘性区域模型的数值表示存在一定的网格偏差。对于离散表示，这是由初始网格设计引起的，而对于涂抹表示，其根源在于引入脱聚时出现的速率边值问题的不适定性。当利用有限元形状函数的单位划分性质时，可以优雅地获得粘性区域公式的离散特征的正确表示，从而避免任何网格偏差。通过一些例子证明了这种方法的有效性。 (C) 2003 Elsevier Science Ltd. 保留所有权利。
The importance of the cohesive-zone approach to analyse localisation and failure in engineering materials is emphasised and various ways to incorporate the cohesive-zone methodology in computational methods are discussed. Numerical representations of cohesive-zone models suffer from a certain mesh bias. For discrete representations this is caused by the initial mesh design, while for smeared representations it is rooted in the ill-posedness of the rate boundary value problem that arises upon the introduction of decohesion. A proper representation of the discrete character of cohesive-zone formulations which avoids any mesh bias can be obtained elegantly when exploiting the partition-of-unity property of finite element shape functions. The effectiveness of this approach is demonstrated by some examples. (C) 2003 Elsevier Science Ltd. All rights reserved.