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. © 2014 Tiantang Yu et al.
Yu, T., Lai, Y., & Yin, S. (2014). Dynamic crack analysis in isotropic/orthotropic media via extended isogeometric analysis. Mathematical Problems in Engineering, 2014. https://doi.org/10.1155/2014/725795