Automation of Finite Element Methods

New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.

Presents the power of symbolic computations which are able to automatically generate efficient and highly compressed code for linear and nonlinear problems Develops new formulations and discretization schemes that account for the needs of advanced applications in engineering Shows how fast and reliable code can be created based on the symbolic system AceGen with a minimum of effort The use of AceGen is described for applications in solids mechanics Intended for students and engineers who want to develop new finite element formulations, especially for nonlinear problems Includes supplementary material: sn.pub/extras

Inhalt
Notation.- Introduction.- Basic Equations of Continuum Mechanics.- Automation of Research in ComputationalModeling.- Automation of Primal Analysis.- Automation of Discretization Techniques.- Materials.- Continuum Elements.- Structural Elements.- Automation of Sensitivity Analysis.