This lesson covers the different aspects of the Finite Element Method (FEM). It delves into the development of stress analysis models, the formation of stiffness matrices, and the use of constitutive relations in stress analysis. The lesson also discusses the application of FEM in heat transfer problems and the use of the weighted residue technique in finite element-based formulation. It further explains the concept of nodal shape functions and the Galerkin weighted residue technique. The lesson concludes with the formulation of a matrix form of equations using the Galerkin method.
02:15 - Use of the weighted residue technique in finite element-based formulation
15:32 - Different techniques of the weighted residual method
18:55 - Galerkin method and its application in solving heat conduction problems
33:13 - How to discretize the domain into elements and nodes for the Galerkin method
43:44 - How to apply Green's theorem in the Galerkin method
- The Finite Element Method is a powerful tool for solving complex problems in engineering and physics.
- The method involves developing stress analysis models and forming stiffness matrices.
- The constitutive relation between stress and strain is crucial in stress analysis.
- The weighted residue technique is used in finite element-based formulation.
- The Galerkin weighted residue technique is used to formulate a matrix form of equations.