The Finite Element Method for Three-Dimensional Thermomechanical Applications (PDF)

Though many 'finite element' books exist, this book provides a
unique focus on developing the method for three-dimensional,
industrial problems. This is significant as many methods which work
well for small applications fail for large scale problems, which
generally:

* are not so well posed

* introduce stringent computer time conditions

* require robust solution techniques.

Starting from sound continuum mechanics principles, derivation in
this book focuses only on proven methods. Coverage of all different
aspects of linear and nonlinear thermal mechanical problems in
solids are described, thereby avoiding distracting the reader with
extraneous solutions paths. Emphasis is put on consistent
representation and includes the examination of topics which are not
frequently found in other texts, such as cyclic symmetry, rigid
body motion and nonlinear multiple point constraints.

Advanced material formulations include anisotropic
hyperelasticity, large strain multiplicative viscoplasticity and
single crystal viscoplasticity. Finally, the methods described in
the book are implemented in the finite element software CalculiX,
which is freely available (www.calculix.de; the GNU General Public
License applies).

Suited to industry practitioners and academic researchers alike,
The Finite Element Method for Three-Dimensional Thermomechanical
Applications expertly bridges the gap between continuum
mechanics and the finite element method.