Introduction to Finite Element Methods

Focusing on Finite Element Methods from an engineering perspective, this textbook covers essential principles such as virtual work and various element formulations for 1-D and 2-D structures. It explores different geometries, including triangular elements, and introduces numerical integration schemes. Detailed derivations of element matrices and load vectors are provided, along with discussions on system assembly, boundary conditions, and numerical efficiency. The text also addresses error evaluation and the quality of elements, ensuring a comprehensive understanding of the workflow in finite element analysis.