ANALYSISOFTWO-DIMENSTIONALELASTODYNAMICSPROBLEMS USING THE NOVEL SCALED BOUNDARY BASED DECOUPLED EQUATIONS METHOD

A new modification of a semi-analytical technique based on the Scaled Boundary-Finite Element Method (SBFEM) is proposed for solving 2D elastodynamic problems. In this method, the boundary of the problem domain is discretized by a set of special sub-parametric boundary elements as; higher-order Lagrange mapping functions and a kind of special shape functions are used and these interpolated functions are set up on Gauss-Lobatto-Legendre nodes. Using the weighted residual method and implementing Gauss-Lobatto-Legendre integration, the coefficient matrices of equations system become diagonal, which results in a set of decoupled governing equations for the whole system. This means that the governing equation for each degree of freedom is independent from others of the domain. Herein, this technique is employed for analysis of two-dimensional elastodynamic bounded problems and loading and the validity and accuracy of the present method are demonstrated through some benchmark problem, using a small number of degrees of freedom.