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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics & Finance, Gachon University, Seongnam, 13120, Korea

    Won-Tak Hong

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  1. Won-Tak Hong
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Correspondence to Won-Tak Hong.

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Hong, WT. Stress intensity factor extraction from the enriched partition of unity solution for a cracked linear elastic medium. Journal of the Korean Physical Society 70, 245–251 (2017). https://doi.org/10.3938/jkps.70.245

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  • DOI: https://doi.org/10.3938/jkps.70.245

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