{"title":"A Modified Decoupled Semi-Analytical Approach Based On SBFEM for Solving 2D Elastodynamic Problems","authors":"M. Fakharian, M. I. Khodakarami","volume":98,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":296,"pagesEnd":302,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10000530","abstract":"
In this paper, a new trend for improvement in semianalytical
\r\nmethod based on scale boundaries in order to solve the 2D
\r\nelastodynamic problems is provided. In this regard, only the
\r\nboundaries of the problem domain discretization are by specific subparametric
\r\nelements. Mapping functions are uses as a class of higherorder
\r\nLagrange polynomials, special shape functions, Gauss-Lobatto-
\r\nLegendre numerical integration, and the integral form of the weighted
\r\nresidual method, the matrix is diagonal coefficients in the equations
\r\nof elastodynamic issues. Differences between study conducted and
\r\nprior research in this paper is in geometry production procedure of
\r\nthe interpolation function and integration of the different is selected.
\r\nValidity and accuracy of the present method are fully demonstrated
\r\nthrough two benchmark problems which are successfully modeled
\r\nusing a few numbers of DOFs. The numerical results agree very well
\r\nwith the analytical solutions and the results from other numerical
\r\nmethods.<\/p>\r\n","references":"[1] J.P. Wolf,The scaled boundary finite element method. John Wiley &\r\nSons Ltd., 2004.\r\n[2] N.Khaji, M.I.Khodakarami, \u201cA new semi-analytical method with\r\ndiagonal coefficient matrices for potential problems,\u201d vol. 35(6), pp.\r\n845-854, Jun. 2011. [3] M.I. Khodakarami, N.Khaji, \u201cAnalysis of elastostatic problems using a\r\nsemi-analytical method with diagonal coefficient matrices,\u201d Engineering\r\nAnalysis with Boundary Elements, vol. 35, pp. 1288-1296, Dec. 2011.\r\n[4] M.I. Khodakarami, N. Khaji, M.T. Ahmadi, \u201cModeling transient\r\nelastodynamic problems using a novel semi-analytical method yielding\r\ndecoupled partial differential equations,\u201d Comput. Methods Appl. Mech.\r\nEngrg., vol. 213-216, pp. 183-195, Nov. 2012.\r\n[5] N. Khaji, M.I. Khodakarami, \u201cA semi-analytical method with a system\r\nof decoupled ordinary differential equations for three-dimensional\r\nelastostatic problems,\u201dInternational Journal of Solids and Structures,\r\nvol. 49, pp.2528-2546, Sep. 2012.\r\n[6] M.I. Khodakarami, N. Khaji, \u201cWave propagation in semi-infinite media\r\nwith topographical irregularities using Decoupled Equations\r\nMethod,\u201dSoil Dynamics and Earthquake Engineering, vol. 65, pp.102-\r\n112, Oct. 2014.\r\n[7] C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zeng, Spectral Methods\r\nin Fluid Dynamics. Berlin : Springer, 1988.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 98, 2015"}