Author : CH Sridher Reddy, A Mamatha Reddy and Ram Kishore Vodnala

In this work an attempt is made to define the nodal connectivity at the runtime rather than defining the same at the initial stage. The shape functions are also need to be defined dynamically. The advantage of this is in the selection of degree of the shape function as required by the gradient of the field variable. If the shape functions are defined by the Bezier basis functions, the nodal connectivity can be obtained at the run time itself. Apart from this, all other procedure like the development of the stiffness matrix, force vector and the assembly and the solution stage are identical to the Finite Element method. The results obtained by the present method are compared and found to be in good agreement with the analytical solution and the finite element method.

Keywords: Dynamic nodal connectivity, Bezier basis functions, Homogeneous bar problem , Eigen value problem,
Heat transfer in Fin problem

Article published in International Journal of Current Engineering and Technology, Vol.6, No.3 (June-2016)