Nonlocal continuum damage modeling for functionally graded plates of third-order shear deformation theory

This article presents an effective computational approach that incorporates a quasi-brittle damage model into the isogeometric analysis of plates made functionally graded materials. The plate kinematics is represented by third-order shear deformation theory for higher accuracy. A coupling nonlocal equivalent strain field introduced on neutral surface to control softening behavior. utilization in enables use single parameter over each cross-section. As consequence, stiffness matrices can be calculated analytically, which simplifies proposed and its computer implementation. discretization problem domain based basis functions generated from non-uniform rational B-splines (NURBS) are used both geometric representation variable approximations, i.e., displacement strain. Owing high-order continuity NURBS functions, local features such as fracture zones resolved accurately. performance demonstrated through several numerical examples under different loading configurations compared with results other approaches.