Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference method. (June 2021)

• Record Type: Journal Article
• Authors: Jiang, Songwei; Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen
• Is Part Of: Theoretical and applied fracture mechanics. Volume 113(2021)
• Publication Date: 2021-06
• Subjects: Fracture analysis -- Interface cracks -- Complex stress intensity factors -- Generalized finite difference method -- Dissimilar materials; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2021.102942
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: Novel meshless method for bimaterial interface crack analysis. Oscillatory near-tip displacement and stress fields can be approximated properly. Complex SIFs of interface cracks can be directly calculated with very high accuracy. Examples demonstrate advantages of the new method for interface crack analysis. Abstract: This paper makes the first attempt to apply the generalized finite difference method (GFDM), a recently developed meshless collocation method, for fracture mechanics analysis of dissimilar elastic materials with interfacial cracks. The main idea of the GFDM is to divide the entire computational domain into a set of overlapping small subdomains in which the local Taylor series expansion and moving-least square approximation are employed for generating the local systems of linear equations. Since the method is meshless and no element connectivity is needed, the burdensome remeshing procedures associated with the finite element method (FEM) is avoided. The multi-domain GFDM technique is used to handle the non-homogeneity of the cracked dissimilar materials. The displacement extrapolation method (DEM), which avoids the direct calculation of the oscillatory near-tip displacement and stress fields, is employed to compute the complex stress intensity factors (SIFs) for cracked composite bimaterials. Several representative numerical examples are presented and discussed to demonstrate that the present method is highly accurate and relatively robust for interface crack analysis of composite bimaterials.