the accuracy and efficiency of the elements proposed by finite element method (fem) considerably depend on the interpolating functions namely shape functions used to formulate the displacement field within the element. in the present study, novel functions, namely basic displacements functions (bdfs), are introduced and exploited for structural analysis of nanobeams using finite element method ...

For the nonlinear analysis of structures using the well known Newton-Raphson Method, the tangent stiffness matrices of the elements must be constructed in each iteration. Due to the high expense required to find the exact tangent stiffness matrices, researchers have developed novel innovations into the Newton-Raphson method to reduce the cost and time required by the analysis. In this paper, a ...

In this paper we discuss the application of IsoGeometric Analysis to incompressible viscous flow problems, for which preliminary results were presented in [1, 2, 3]. Here we consider, as a prototype problem, the Stokes system and we propose various choices of compatible Spline spaces for the approximations to the velocity and pressure fields. The proposed choices can be viewed as extensions of ...