Analysis of cracked plate using higher-order shear deformation theory: Asymptotic crack-tip fields and XIGA implementation

In this work, an extended isogeometric analysis (XIGA) is used for the analysis of through-thickness crack in a homogeneous and isotropic plate. In isogeometric analysis (IGA), non-uniform rational B-splines (NURBS) are used as a basis function. The plate kinematics is modelled by Reddy's higher-order shear deformation theory (HSDT). The C-1 continuity requirement of HSDT can be easily fulfilled by the NURBS basis functions. In order to obtain the plate fracture parameters (moment intensity factors), the expressions of crack-tip fields (auxiliary fields) are derived using separation of variables and Eigen-function approach. A new expression for moment intensity factors is developed using auxiliary fields solution (crack-tip fields) and interaction integral approach. Several cracked plate problems are solved by XIGA using HSDT. The results obtained by HSDT based XIGA (HSDT-XIGA) are compared with the FSDT based XIGA (FSDT-XIGA) and literature solutions. (c) 2018 Elsevier B.V. All rights reserved.