Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading

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The simple boundary element method for transient heat conduction in functionally graded materials (2004, unknown): “[42] for 3D problems.”
Modeling method for a crack problem of functionally graded materials with arbitrary properties—piecewise-exponential model (2007, background): “On the other hand, some important numerical investigations have been conducted to analyze the crack problems in FGMs with general properties, including elastic two-dimensional analysis (Kim and Paulino, 2002; Chi and Chung, 2003) and three-dimensional analysis (Walters et al., 2004).”
Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes (2010, methodology): “from Walters et al. [ 71 ] and used to compute er( ¯”
An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, methodology): “The problem of a plate with such a configuration was investigated by Walters et al. (2004). In order to simulate infinite plate, both the length 2L and the width 2h of the plate remain fixed at 10 times of the thickness t.”
Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method (2012, methodology): “This problem has been analyzed by several researchers [49,50,62] using the finite element method.”