Finite Element Method: Basics

This lecture introduces the Finite Element Method (FEM) for solving complex engineering problems by dividing them into smaller elements and obtaining algebraic equations for each element. The FEM procedure involves pre-processing (building geometry, assigning properties), solution (choosing analysis type, solution settings), and post-processing (visualizing and interpreting results). The challenges of FEM, such as meshing errors and verification/validation, are discussed. Historical background, advantages, and disadvantages of FEM are also covered. Hands-on exercises include building a micro-cantilever model and applying different load types. The course aims to equip students with the skills to perform FEM simulations and analyze results effectively.