Overcoming the convergence difficulty of cohesive zone models through a Newton-Raphson modification technique
Overcoming the convergence difficulty of cohesive zone models through a Newton-Raphson modification technique
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DOI：
10.1016/j.engfracmech.2020.107046
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发表时间：
2019-11
影响因子：
5.4
通讯作者：
R. Sepasdar;Maryam Shakiba
中科院分区：
文献类型：
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作者：
R. Sepasdar;Maryam Shakiba
本文研究了静力分析中粘聚带模型的收敛困难。结果表明，牛顿-拉夫森方法的迭代起点不当是导致收敛困难的主要原因。然后提出了一种简单、创新的方法来克服收敛问题。该技术是稳健的，在有限元框架中实现简单，不会影响分析的精度，并提供快速收敛。文中详细说明了实现算法，并给出了五个应用实例。结果表明，该方法计算效率高，具有较强的通用性，优于已有的方法。
This paper studies the convergence difficulty of cohesive zone models in static analysis. It is shown that an inappropriate starting point of iterations in the Newton–Raphson method is responsible for the convergence difficulty. A simple, innovative approach is then proposed to overcome the convergence issue. The technique is robust, simple to implement in a finite element framework, does not compromise the accuracy of analysis, and provides fast convergence. The paper explains the implementation algorithm in detail and presents five application examples. It is concluded that the method is computationally efficient, has a general application, and outperforms the existing methods.