ABSTRACT

This monograph is intended to present a concise and unified two-part treatment of finite element analysis (FEA) in thermomechanics. The first part encompasses topics typically found in a first course in FEA. Included are elementary mathematical foundations, an introduction to linear variational principles, the stiffness and mass matrices in linear mechanical and thermal elements, assemblage, eigenstructure determination, and numerical procedures. The second part continues into topics which are appropriate for a second course in FEA. It addresses nonlinearity due to material behavior, geometry and boundary conditions, as well as associated advanced mathematical and numerical topics, incremental variational principles including thermal effects and incompressibility constraints, and accommodation of hyperelasticity, plasticity, viscoplasticity, and damage mechanics.