Finite Elements Methods in Mechanics

Covering fundamental areas of mechanical engineering, the book delves into fluid mechanics, heat conduction, beams, and elasticity, providing detailed derivations for mass, stiffness, and force matrices. It emphasizes finite element approximation through practical examples, including computer methods and numerical solutions. The fluid mechanics section explores both conventional and vorticity transport formulations for viscous flows. Additionally, it discusses variational and Galerkin methods for various engineering problems, accompanied by three C++ computer codes for solving elastic membrane and heat conduction issues.