This course introduces the fundamental principles of the Finite Element Method (FEM), a key tool in the numerical modeling of complex engineering structures. It emphasizes the importance of building accurate numerical models to analyze system behavior under various loads. Students will learn essential mathematical tools such as integration techniques, differential calculus, and variational principles. The course also covers the Euler-Lagrange equations in one and two dimensions. Integral formulations, including the Ritz method and weighted residual methods, are presented to establish the theoretical framework of FEM. Special attention is given to shape functions and interpolation techniques used in element formulation. One-dimensional and two-dimensional elements are studied in detail. The concept of isoparametric elements is introduced for handling complex geometries. Numerical integration techniques are also discussed for practical implementation. Prior knowledge in calculus, linear algebra, and solid mechanics is recommended for a better understanding of the course.
- Teacher: RASSIM BELAKROUM