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- W2034783868 abstract "An application of Fourier series as interpolation functions in the boundary integral method of structural analysis is presented. The stress field and the boundary displacements are independently interpolated. Equilibrium is locally satisfied and the kinematic boundary conditions are locally enforced. The compatibility and static boundary conditions are enforced through weighted residual equations. The interpolation criteria and the identification of auxiliary variables are so selected as to preserve symmetry in the governing system. The biharmonic stress function of Mathieu is used to interpolate the stress field thus ensuring that all intervening structural operators have boundary integral expressions. For regular domains, numerical integration can be avoided by providing general, closed form solutions for the boundary expressions of the structural operators. The structure of the governing system is well suited to the use of efficient algorithms to store and solve sparse systems of linear equations. Numerical testing and validation of the formulation is based on two-dimensional elastostatic problems. Macro elements are adopted to exploit the hierarchical nature of finite Fourier series." @default.
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- W2034783868 date "1991-01-01" @default.
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- W2034783868 title "Application of the mathieu series to the boundary integral method" @default.
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- W2034783868 doi "https://doi.org/10.1016/0045-7949(91)90400-g" @default.
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