Abstract
This paper describes the Field Boundary Element Method (FBEM) applied to the fracture analysis of a 2D rectangular plate made of Functionally Graded Material (FGM) to calculate Mode I Stress Intensity Factor (SIF). The case study of this Field Boundary Element Method is the transversely isotropic plane plate. Its material presents an exponential variation of the elasticity tensor depending on a scalar function of position, i.e., the elastic tensor results from multiplying a scalar function by a constant taken as a reference. Several examples using a parametric representation of the structural response show the suitability of the method that constitutes a Stress Intensity Factor evaluation of Functionally Graded Materials plane plates even in the case of more complex geometries.
Highlights
In the recent past, a new class of composite materials, namely Functionally Graded Materials (FGM), has attracted researchers and designed to satisfy multiphysical requests, by combining different materials into one, resulting in a continuous variable material
The main difference of FGM from traditional composites is that component properties are combined to achieve an intermediate behavior between the constituents
When the FGM is used at the interface between two materials, it enables a continuous transition from one material to the other avoiding the discontinuity of the response at the interface level
Summary
A new class of composite materials, namely Functionally Graded Materials (FGM), has attracted researchers and designed to satisfy multiphysical requests, by combining different materials into one, resulting in a continuous variable material. When the FGM is used at the interface between two materials, it enables a continuous transition from one material to the other avoiding the discontinuity of the response at the interface level. FGMs have been presented as an alternative to laminated composite materials that exhibit a discrepancy in properties at material interfaces. This material discontinuity in laminated composite materials leads to large interlaminar stresses and the possibility of crack initiation and propagation. Continuous transition greatly influences crack propagation at the interface level and avoids or reduces debonding and slip of layers [1,2,3,4]
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