Modeling holes and voids in three dimensions using a single element within the Extended Finite Element framework

This paper introduces a highly efficient computational approach using the extended finite element method to model three-dimensional mechanics of holes and voids. The defect is encapsulated within a single element with a tailored exponential enrichment function that captures the behavior near the dis...

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Bibliographic Details
Published in:International journal of computational methods in engineering science and mechanics 2024-03, Vol.25 (2), p.56-79
Main Authors: Shahriar, Adnan, Majlesi, Arsalan, Montoya, Arturo
Format: Article
Language:English
Subjects:
Computer Programming and Software
Engineering (General)
exponential enrichment function
modeling damage
Modeling of holes
spherical void
XFEM
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Summary:This paper introduces a highly efficient computational approach using the extended finite element method to model three-dimensional mechanics of holes and voids. The defect is encapsulated within a single element with a tailored exponential enrichment function that captures the behavior near the discontinuity boundary and can account for the pressure acting on the void's surface through an equivalent nodal force vector. The method's results were compared against analytical solutions and conventional finite element method results for problems involving single and multiple holes. The comparison demonstrated that the method provides accurate stress concentration estimates while adhering to computational constraints.
ISSN:1550-2287
1550-2295
DOI:10.1080/15502287.2023.2274025