Finite Element Methods in Smart Materials and Polymers

Finite Element Methods for Convection Diffusion Equation

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...

Damage Assessment in Thin Materials: Finite Element Investigation Damage Assessment in Thin Materials: Finite Element Investigation

This thesis describes the process of detection, and if possible, also localization of the damage in non structural sheet-like materials. Simulation and analysis is carried out in ABAQUS with a FE model that has the same dynamic characteristics as the corresponding real material. Three types of damage forms are investigated: crack, hole and local weakness. Results presented in the report show th...

Finite Element Modeling of Strain Rate and Grain Size Dependency in Nanocrystalline Materials

Nanocrystalline materials show a higher strain-rate sensitivity in contrast to the conventional coarse-grained materials and a different grain size dependency. To explain these phenomenon, a finite element model is constructed that considers both grain interior and grain boundary deformation of nanocrystalline materials. The model consist of several crystalline cores with different orientations...

Superconvergence in Finite - Element Methods

My research focuses on applied aspects of the calculus of variations and partial differential equations, particularly nonlinear equations arising from physics and chemistry, and numerical analysis and scientific computing, particularly finite-element analysis and numerical methods for interface motion. I have worked on mathematical and numerical problems arising from materials science, such as ...

Finite Element Methods