Computational Mechanics

Introduction to computational mechanics, with emphasis on the finite element method. Numerical methods in construction. Finite element method (equilibrium, compatibility, material laws, geometric discretization, stiffness and mass matrix, composition of items, total matrices, formation and solution, post data). Brief theoretical introduction (virtual work principle, etc.), examples of static linear analysis (bar, beam, plane stress tray). Related problems.

Objectives

The objective of the course is to present the basic tools and the applications of computational mechanics. The participants will become fluent in use of free-source and/or commercial programs of finite elements used in the field of computational mechanics through examples.

Prerequisites

Basic knowledge on Mechanics and use of computers.

Syllabus

Finite Element Analysis Stiffness Method Truss equations Finite Element Programs Beam stiffness Two dimensional Frame and Grid equations Two dimensional Stress-Strain Stiffness equations Modeling considerations Stress analysis in three dimensions Thermal problems