EM 518 -
Finite Element Method (Método dos Elementos Finitos)
Finite element formulation; general method: step by step formulation of finite elements. Interpolations: shape functions; conditions for the shape functions; derivation of shape functions from polynomials; Langrage and serendipity polynomials; use of natural coordinates. Energy methods. Energy methods in structural mechanics with special emphasis on displacements formulations. Finite elements for elasticity; formulation of finite elements for 2D, 3D and axi-symmetric elasticity. Finite elements for beams, plates and shells. Conforming and non-conforming elements. Finite elements for box-girders. Objectives Finite elements applied to structural mechanics. |