Overcoming the Convergence Difficulty of Cohesive Zone Models through a Newton-Raphson Modification Technique

Autor:	Sepasdar, Reza, Shakiba, Maryam
Rok vydání:	2019
Předmět:	Physics - Computational Physics Condensed Matter - Materials Science
Druh dokumentu:	Working Paper
DOI:	10.1016/j.engfracmech.2020.107046
Popis:	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 three benchmark examples. It is concluded that the method is computationally efficient, has a general application, and outperforms the existing methods. Comment: Submitted to the journal of Engineering Fracture Mechanics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.12311 Zobrazit plný text záznamu View this record from Arxiv