Sumários
T18 - Plane Elasticity FEs (cont.) + Introduction to Euler-Bernouli Beam FE
20 novembro 2017, 08:00 • Miguel Matos Neves
Numerical integration in Elasticity finite elements. Gauss integration rule, coordinate transformation, derivatives in local referential, points, weights and degree of the rule. Introduction to Euler-Bernouli Beam FE, Introduction to Euler-Bernouli Beam FE: strong formulation, symmetric weak formulation, admissibility of test function (v and v'), Hermite interpolation, shape functions, element stiffness matrix and element force vector.
T17 - Plane Elasticity (cont.)
15 novembro 2017, 09:30 • Miguel Matos Neves
Elasticity. Postprocessing strains, stresses, reactions, etc. Failure criterias: Von Mises and Tsai-Hill.FEA with initial stresses or strains. Thermal change effect and static analysis. Expansion coefficient. Isoparametric finite elements and shape functions. Required conditions (on shape functions) in order to have convergence. Higher order Lagrangian finite elements and Serendipity finite elements. Coordinates transformation to the base element.
P9 - 2D Vectorial Finite elements
13 novembro 2017, 09:30 • Miguel Matos Neves
Prob. 16 and 19 (Elasticity).
T16 - Plane Elasticity
13 novembro 2017, 08:00 • Miguel Matos Neves
Elasticity. Cauchy law for stresses. Domain and boundaries. Residual technique. Weak Formulation.Galerkin approximation in two components ux and uy. Matrix B. Going from tensorial to matrix representation. Voigt notation. Stiffness matrix and load vector. Physical meaning of a stiffness matrix component. Stress vector on the boundary and Neumann boundary condition. Dirichelet boundary condition. Triangular finite element of 3 nodes. Quadrangular finite element of 4 nodes. Postprocessing strains, stresses, reactions, etc. Failure criterias: Von Mises and Tsai-Hill.