Theoretical modeling and analysis of thermal fracture of semi-infinite functionally graded materials with edge cracks

Abstract

The present investigation is devoted to a problem of the interaction of two edge cracks inclined arbitrary to the boundary of a non-homogeneous halfplane, which is a functionally graded layer on a homogeneous substrate. The functionally graded properties vary exponentially in thickness direction. One cycle of cooling from sintering temperature is considered. An approach based on integral equations is used and a solution is obtained, then the stress intensity factors are calculated and direction of the initial crack propagation is evaluated by using the maximum circumferential stress criterion. Influence of geometrical and material (inhomogeneity) parameters on the fracture characteristics is investigated. This study can serve as a part of the modeling of the fracture process in FGM coatings under cyclic heating-cooling thermal loading.

3D Numerical Analysis of Cracked Ti-TiB FGM Plate with a Semicircular Notch Subjected to Different Modes Load Conditions

“…Sladek et al [11] employed the J-integral using a domain integral approach to obtain fracture solutions for semi-elliptical surface cracks contained in FGM structures. Use of the J-integral as a fracture parameter in FGMs with notches is the subject of some other papers [12][13][14][15].…”

A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials

“…In many papers, the grading function g is chosen to be given by specific elementary functions. For example, g is an exponential function of x 1 and x 2 in Kuo and Chen [1], Petrova and Sadowski [2], and Sladek et al [3], while it is a quadratic function in Wang and Qin [4] and Yuan and Yin [5]. Of interest here is the numerical solution of the system (1) together with (4) in a two-dimensional region R on the Ox 1 x 2 plane subject to suitably prescribed conditions on the boundary of R which is denoted by C. More specifically, if p k are the Cartesian tractions on C as defined by…”

Modelling and Experimental Testing of Hybrid Joints Made of: Aluminium Adherends, Adhesive Layers and Rivets for Aerospace Applications

“…One of the most important proposition are functionally graded materials, having specifically oriented gradation of mechanical properties, e.g. [1,[4][5][6][7]. Other types of internal structure are materials made of: (1) a sequence of different layers with various mechanical features, e.g.…”