Abstract
The main objective of this work is to present a numerical modeling of crack propagation path in isotropic functionally graded materials (FGMs) under mixed-mode loadings. The displacement extrapolation technique (DET) and the maximum circumferential stress (MCS) criterion are investigated in the context of crack growth in functionally graded beam subject to three and four bending conditions. Using the Ansys Parametric Design Language (APDL), the variation continues of the material properties are incorporated by specifying the material parameters at the centroid of each finite element (FE) and the crack direction angle is evaluated as a function of stress intensity factors (SIFs) at each increment of crack extension. In this paper, two applications are investigated using an initial crack perpendicular and parallel to material gradient, respectively. The developed approach is validated using available numerical and experimental results reported in the literature.
Highlights
Graded material (FGM) is a material solution and a material concept used for a new class of advanced composites characterized by gradual variation in composition, microstructure and material properties
This paper focuses on two-dimensional mixed-mode crack propagation in functionally graded materials (FGMs) using the finite element method (FEM)
The main objective of this study is to present a numerical modeling of crack propagation path in functionally graded materials (FGMs) under mixed-mode loadings
Summary
Graded material (FGM) is a material solution and a material concept used for a new class of advanced composites characterized by gradual variation in composition, microstructure and material properties. These graded materials have emerged from the need to enhance material performance. Oral and al.[1] performed experimental and numerical investigations on crack initiation in FGMs under mixed-mode loadings. Zhang and Paulino[2] used cohesive zone models to simulate two-dimensional mixed mode dynamic crack propagation in FGMs. Fantuzzi and al.[3] investigated the dynamic behavior of moderately thick FGM plates with geometric discontinuities and arbitrarily curved boundaries, using the Generalized Differential Quadrature Finite Element Method (GDQFEM) as a numerical approach[4]. Dimitri and al.[6] proposed the application of the level set method combined with the numerical
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