Elasto-Plasticity of Frame Structure Elements

The finite element method is a powerful tool even for non-linear materials' modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.

Concentrates on the basic ideas of elasto-plastic finite element procedures Restricts the content to one-dimensional plasticity facilitating the mathematical formalism Makes it much easier to study and understand the advanced theory and the respective text books Provides many solved and supplementary problems Includes supplementary material: sn.pub/extras

Autorentext
Andreas Öchsner, born 1970, is Full Professor in the Department Solid Mechanics and Design at the University of Technology Malaysia (UTM), Malaysia and Head of the Advanced Materials and Structure Lab. Having obtained a Diploma Degree (Dipl.-Ing.) in Aeronautical Engineering at the University of Stuttgart (1997), Germany, he spent the time from 1997-2003 at the University of Erlangen-Nuremberg as a research and teaching assistant to obtain his Doctor of Engineering Sciences (Dr.-Ing.). From 2003-06, he worked as Assistant Professor in the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. His research interests are related to experimental and computational mechanics, cellular metals and thin structures and interphases. His research activities were recognised in 2010 by the award of a higher doctorate degree (D.Sc.) by the University of Newcastle, Australia.

Inhalt

Introduction.- Continuum Mechanics of Plasticity.- Axial Loading of Rods.- Bending of Beams.- Review of Linear-Elastic Finite Element Simulations.- Elasto-Plastic Finite Element Simulations.- Alternative Approach: The Finite Difference Method.- Prelude to the General Three-Dimensional Case.