 English
 فارسی
Finite Element Method
Introduction
The field of Mechanics can be subdevided into three major areas, namely Theoretical, Applied and Computational Mechanics.
The finite element method (FEM), or finite element analysis (FEA) which is a branch of computational mechanics is based on the idea of building a complicated object with simple blocks, or, dividing a complicated object into small and manageable pieces. Application of this simple idea can be found everywhere in everyday life as well as in engineering.
The objective of the course is to teach in a unified manner the fundamentals of finite element analysis of solids, and structures. This includes the theoretical foundations and computer implementation of finite element in Matlab environment. The course is divided into three parts:
 Basic and fundamental concepts of structural modeling
 Formulation of Finite Elements
 Computer Implementation of the Finite Element Method
Syllabus
 Introduction to Finite Element Method
 The direct method
 Linear static analysis of bar elements
 Bar elements in 2D and 3D space
 Beam elements
 3D beam elements
 Introduction to Matlab
 Computer implementation of bar and beam elements
 Twodimensional problems
 Constant and linear strain triangles elements
 Other types of 2D elements
 Solid elements for 3D problems
 Multifreedom constraints
 Finite element modeling and solution techniques
 Methods of solving FEM equations
 Interpolation models
 Numerical integration
 Automatic renumbering of FE models
 Computer implementation of 2D problems
 Bending behavior of plates
 Finite element modeling of plates


