CMES-Vol. 87, No. 1, 2012

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An Improved Numerical Evaluation Scheme of the Fundamental Solution and its Derivatives for 3D Anisotropic Elasticity Based on Fourier Series
Y.C. Shiah¹, C. L. Tan², C.Y. Wang¹
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.1, pp. 1-22, 2012, DOI:10.3970/cmes.2012.087.001
Abstract The fundamental solution, or Green's function, for 3D anisotropic elastostatics as derived by Ting and Lee (1997) [Q.J. Mech. Appl. Math.; 50: 407-426] is one that is fully explicit and algebraic in form. It has, however, only been utilized in boundary element method (BEM) formulations quite recently even though it is relatively straightforward and direct to implement. This Green's function and its derivatives are necessary items in this numerical analysis technique. By virtue of the periodic nature of the angles when it is expressed in the spherical coordinate system, the present authors have very recently represented the Green's function as… More >

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An Application of Genetic Algorithms and the Method of Fundamental Solutions to Simulate Cathodic Protection Systems
W.J. Santos¹ , J.A.F. Santiago¹, J.C.F Telles¹
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.1, pp. 23-40, 2012, DOI:10.3970/cmes.2012.087.023
Abstract The aim of this paper is to present numerical simulations of Cathodic Protection (CP) Systems using a Genetic Algorithm (GA) and the Method of Fundamental Solutions (MFS). MFS is used to obtain the solution of the associated homogeneous equation with the non-homogeneous equation subject to nonlinear boundary conditions defined as polarization curves. The adopted GA minimizes a nonlinear error function, whose design variables are the coefficients of the linear superposition of fundamental solutions and the positions of the source points, located outside the problem domain. In this work, the anodes added to the CP system are considered as point sources… More >

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Three-Dimensional Unsteady Thermal Stress Analysis by Triple-Reciprocity Boundary Element Method
Yoshihiro Ochiai¹, Vladimir Sladek², Jan Sladek²
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.1, pp. 41-54, 2012, DOI:10.3970/cmes.2012.087.041
Abstract The conventional boundary element method (BEM) requires a domain integral in unsteady thermal stress analysis with heat generation or an initial temperature distribution. In this paper it is shown that the three-dimensional unsteady thermal stress problem can be solved effectively using the triple-reciprocity boundary element method without internal cells. In this method, the distributions of heat generation and initial temperature are interpolated using integral equations and time-dependent fundamental solutions are used. A new computer program was developed and applied to solving several problems. More >

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Identification of Material Parameters of Two-Dimensional Anisotropic Bodies Using an Inverse Multi-Loading Boundary Element Technique
M.R. Hematiyan^1,2, A. Khosravifard¹, Y.C. Shiah³, C.L. Tan⁴
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.1, pp. 55-76, 2012, DOI:10.3970/cmes.2012.087.055
Abstract An inverse technique, based on the boundary element method (BEM) and elastostatic experiments for identification of elastic constants of orthotropic and general anisotropic 2D bodies is presented. Displacement measurements at several points on the boundary of the body, obtained by a few known load cases are used in the inverse analysis to find the unknown elastic constants of the body. Using data from more than one elastostatic experiment results in a more accurate and stable solution for the identification problem. In the inverse analysis, sensitivities of displacements of only boundary points with respect to the elastic constants are needed. Therefore,… More >

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