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Structural Engineering and Mechanics Volume 48, Number 1, October10 2013 , pages 125-150 DOI: https://doi.org/10.12989/sem.2013.48.1.125 |
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Combination of isogeometric analysis and extended finite element in linear crack analysis |
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S. Shojaee, M. Ghelichi and E. Izadpanah
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| Abstract | ||
| This paper intends to present an application of isogeometric analysis in crack problems. An isogeometric formula is developed based on NURBS basis functions - enriched and adopted via X-FEM enrichment functions. The proposed method which is represented by the combination of the two above-mentioned methods, first by using NURBS functions models the geometry exactly and then by defining level set function on domain, identifies available discontinuity in elements. Additional DOFs are allocated to elements containing the crack and X-FEM enrichment functions enrich approximate solution. Moreover, a subelement refinement technique is used to improve the accuracy of integration by the Gauss quadrature rule. Finally, several numerical examples are illustrated to demonstrate the effectiveness, robustness and accuracy of the proposed method during calculation of crack parameters. | ||
| Key Words | ||
| isogeometric analysis; XFEM; crack analysis; NURBS; enrichment functions | ||
| Address | ||
| S. Shojaee: Department of Civil Engineering, Shahid Bahonar University, Kerman, Iran M. Ghelichi: Department of Civil Engineering, Graduate University Of Technology, Kerman, Iran E. Izadpanah: Department of Civil Engineering, Shahid Bahonar University, Kerman, Iran | ||