Description

Theory
1

Laboratory
3

Instructors

Jorge Belinha

Contents

SY1 - Revision of the concept of elasticity theory: Cartesian stress and strain tensors. Generalized Hooke's Law and Linear Constitutive Material Matrix.
SY2 - Principle of virtual work and Galerkin's weak form.
SY3 - Finite element method. Types of finite elements: linear and quadratic formulations. 1D, 2D and 3D shape functions. Discrete system of equations. Deformability, stiffness, and mass matrices. Body and external forces. Imposition of essential boundary conditions.
SY4 - Types of finite element modeling. Preparation of the computational model. Results assessment.
SY5 - Selection and identification of boundary and loading conditions and their approximation to reality.
SY6 - Nonlinear formulations. Nonlinear solution algorithms. Newton-Raphson method and its variants. Material and geometric nonlinearity. Damage models. Mechanical, thermal, and thermo-mechanical problems.
SY7 - Advanced modeling and simulation by commercial software application.

Learning Outcomes

LO1 - Provide to the student a general knowledge of the finite element codes and their application. The student should be able to know the method works and to identify its limitations.
LO2 - Capability to identify and establish the boundary conditions, material symmetry and loading conditions, recognizing the appropriate type (s) of element (s).
LO3 - Acquire the ability to critically discuss and analyze the results of different problems.
LO4 - Provide the theoretical knowledge and tools, that allow the development of linear and nonlinear automotive engineering applications.
LO5 - Acquisition of skills in the use and manipulation of the finite element codes.