Abstract
The present work aims to numerically analyze the stress concentration around the central elliptical inclusion coated by functionally graded material (FGM) using Extended Finite Element Method (XFEM). The inclusion was considered in a finite panel subjected to unity far field uniaxial tensile stress. Young's modulus was assumed to be vary with power law function along the normal direction to the inclusion boundary. A MATLAB code was prepared to solve the inclusion problems with XFEM. The stress concentration was analyzed for different geometrical (panel size, inclusion size, ellipse aspect ratio) and coating parameters (FGM function and coating thickness). The results of the study reveal that the FGM coating significantly lowered the Stress Concentration Factor (SCF). The power law index 0.25 was noted as the optimal value to reduce SCF for considered range of other parameters. Higher coating thickness was found better to reduce SCF significantly. The aspect ratio of ellipse was noticed as less significant for FGM coated inclusions; however, it is quite substantial for uncoated inclusions.
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