Stress intensity factor extraction from the enriched partition of unity solution for a cracked linear elastic medium

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• 作者：Won-Tak Hong
• 关键词：Stress intensity factor ; Crack ; tip enrichment ; Partition of unity
• 刊名：Journal of the Korean Physical Society
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：70
• 期：3
• 页码：245-251
• 全文大小：
• 刊物主题：Physics, general; Theoretical, Mathematical and Computational Physics; Particle and Nuclear Physics;
• 出版者：The Korean Physical Society
• ISSN：1976-8524
• 卷排序：70

文摘

The stress intensity factor is a useful tool for predicting material failure and describing the stress states of brittle materials. We present a technique to calculate the stress intensity factor for a linear elasticity problem on a cracked domain with an enriched partition of unity method. We use a particular partition of unity function, which is piecewise polynomial and has wide flat-top region. The flat-top area in the partition of unity function helps the displacements and the stress fields in the vicinity of the crack tip to be accurately represented, even with a coarse background mesh. Among other methods for calculating the stress intensity factor, we find that the direct extraction method is the most accurate and efficient one given a relatively coarse background mesh for the enriched partition of unity method.