Examination

Finite Element Software Report

<br />Practical aspects of Finite Element Analysis including: Non-linear analysis. Planning the analysis. Element selection, plane stress, plane strain, brick elements, full integration, reduced integration, Geometric non linearity. Material non linearity. Managing the solution, incremental solution and convergence of results. Plastic behaviour in metals, von-Mises plasticity, available material models, elastic, perfectly plastic, elastic linear strain hardening, piecewise plasticity model. Hardening models, isotropic, kinematic. Practical application to plasticity problems. Implicit and explicit dynamics analysis, General dynamics analysis, direct integration, time steps. Application of explicit dynamics to pseudo static situations. Obtaining non-linear solutions, time and load steps, incremental analysis, Newton Raphson. Use of commercial finite element software to solve structural problems. Post processing and results checking. Review of available non-linear results, stress, strain, displacement, velocity, acceleration, primary and derived quantities etc. Interpretation of results, checking results, reaction forces, displaced shape, nodal and element plots, energy balance for explicit dynamics, hand calculations. Theoretical aspects of Finite Element Analysis including: Review of basic theory. Global stiffness matrix assembly and solution. Determination of element stiffness matrix by variational approach. Either minimum potential energy or virtual work. Application to 2 noded bar element. Element formulation, linear and quadratic, shape functions, implicit and explicit for two dimensional elements. Determination of element stiffness matrix.<br />

Applied Finite Element Analysis - 7304CIV

Applied Finite Element Analysis

Critically apply elastoplastic constitutive models.

Critically analyse fundamental concepts of the finite element theory.

Apply commercial Finite Element Analysis software for linear and nonlinear analysis of structures.

Evaluate different material models and element types to approximate the behaviour of different materials and structures.

Formulate element stiffness matrices and analyse simple structures using the direct stiffness method.