Crack analysis in media with orthotropic Functionally Graded Materials using extended Isogeometric analysis

Abstract In the present study the extended Isogeometric analysis is applied with orthotropic approach for numerical modeling of stationary cracks in Functionally Graded Material plane bodies. Enrichment functions and level set method are integrated into isogeometric analysis to develop the extended Isogeometric analysis formulation. The interaction integral method with three formulations related to auxiliary fields are used to obtain the stress intensity function. Smooth functions based on spatial coordinates are applied to take into account the variation of orthotropic materials of Functionally Graded Material plates in intended direction. The proposed method is compared with existing methods.

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