Open Access

REVIEW

A Review on Finite Element Alternating Methods for Analyzing 2D and 3D Cracks

by Jai Hak Park^*

Department of Safety Engineering, Chungbuk National University, Cheongju, Korea

* Corresponding Author: Jai Hak Park. Email:

(This article belongs to the Special Issue: Advances in Methods of Computational Modeling in Engineering Sciences, a Special Issue in Memory of Professor Satya Atluri)

Digital Engineering and Digital Twin 2024, 2, 79-101. https://doi.org/10.32604/dedt.2024.047280

Received 30 October 2023; Accepted 30 January 2024; Issue published 25 March 2024

Abstract

A finite element alternating method has been known as a very convenient and accurate method to solve two and three-dimensional crack problems. In this method, a general crack problem is solved by a superposition of two solutions. One is a finite element solution for a finite body without a crack, and the other is an analytical solution for a crack in an infinite body. Since a crack is not considered in a finite element model, generating a model is very simple. The method is especially very convenient for a fatigue crack growth simulation. Over the past 40 years, S. N. Atluri and his many collaborators have developed finite element alternating methods for two and three-dimensional cracks. In this paper, the developing history of the finite element alternating method was reviewed to understand the current status of the method. From this review process, it can be known what kinds of crack problems can be solved accurately with the current method, and what part of the method needs to be improved further.

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Keywords

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