FGM circular plate buckling analysis with HRPIM method

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This study presents a innovative approach for circular plate buckling simulation. The studied plate is constructed using the innovative functionally graded material (FGM) which ensures high temperature resistance with good mechanical proprieties.The proposed method integrates the High-Order Continuation technique, which involves a Taylor series expansion combined with a continuation technique and the HRPIM Method. This approach is employed to compute the critical buckling load by solving an eigenvalue analysis and to evaluate both in-plane and transverse displacements, as well as their derivatives.The governing partial differential equations are transformed into a discrete form using the Galerkin approach. Subsequently, the HOC algorithm is employed to compute the global displacement vectors and the buckling parameter.To demonstrate the method’s effectiveness, precision, and stability, two numerical case studies are performed. They include the buckling analysis of circular FGM plates under compressive loading, considering two distinct boundary conditions

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