Unit 1
Introduction to FEM – equilibrium condition, strain-displacement relation, linear constitutive relations – domain discretization, types of elements, assembly procedures, boundary conditions – Formulations: Potential energy method, Variational formulation, Weighted residual, Galerkin and Rayleigh-Ritz methods.
Unit 2
Coordinate systems, convergence criteria, 1D Elements: Axial elements basic formulations, formations of shape functions, problems using 1D elements, Beam (bending) element: formulations and formation of shape function and problems – 2D elements: Plane stress and Plane strain element formulation, shape function development, problems using 2D elements – axi-symmetric elements – iso-parametric formulation of elements.