Finite Elements Methods in Mechanics

Covering fundamental areas of mechanical engineering, this book delves into fluid mechanics, heat conduction, beams, and elasticity. It emphasizes finite element approximation through the elevation of elastic membranes and includes detailed derivations for mass, stiffness, and force matrices. The fluid mechanics section discusses both conventional and vorticity transport formulations for viscous incompressible flow. Additionally, it provides variational and Galerkin formulations for various problems and includes three C++ computer codes for solving elastic membrane issues, two-dimensional elasticity, and transient heat conduction.