An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures. (September 2022)

• Record Type: Journal Article
• Authors: Jiang, Songwei; Gu, Yan; Golub, Mikhail V.
• Is Part Of: Applied mathematics letters. Volume 131(2022)
• Publication Date: 2022-09
• Subjects: Generalized finite difference method -- Fracture analysis -- Thin coating structures -- Interface cracks -- Complex stress intensity factors; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108080
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: The interface crack problems in thin-layered coating/substrate structures are analyzed by using the generalized finite difference method, a recently developed meshless collocation method. Since the method is meshless, no element connectivity is needed and the burdensome remeshing of the domain similar to the finite element method is avoided. The multi-domain technique is employed to handle the non-homogeneity of the composite materials. The complex stress intensity factors of the bimaterial interface cracks are computed by using the displacement extrapolation method. Accurate and reliable numerical results with only a small number of degrees of freedom can be obtained for relatively small layer-to-substrate thicknesses. Numerical results calculated by using the boundary element method are also given for the purpose of comparison.