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Dynamic Crack Analysis in Isotropic/Orthotropic Media via Extended Isogeometric Analysis

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  • Tiantang Yu
  • Yongling Lai
  • Shuohui Yin

Abstract

The extended isogeometric analysis (X-IGA) is the combination of the extended finite element method (X-FEM) and the isogeometric analysis (IGA), so the X-IGA possesses the advantages of both methods. In this paper, the X-IGA is extended to investigate the dynamic stress intensity factors of cracked isotropic/orthotropic media under impact loading. For this purpose, a corresponding dynamic X-IGA model is developed, the Newmark time integration scheme is used to achieve a dynamic response, and the dynamic stress intensity factors are evaluated through the contour interaction integral technique. Numerical simulations show that the X-IGA results agree with other available reference solutions, and accurate results can be obtained by using the X-IGA with a relatively coarse mesh.

Suggested Citation

  • Tiantang Yu & Yongling Lai & Shuohui Yin, 2014. "Dynamic Crack Analysis in Isotropic/Orthotropic Media via Extended Isogeometric Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnlmpe:725795
    DOI: 10.1155/2014/725795
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