Elasto-Plasticity of Frame Structure Elements

Modeling and Simulation of Rods and Beams
2014
ISBN: 978-3-662-44224-1
Verlag: Springer

Buch, Englisch, 596 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 10402 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Öchsner, Andreas

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Elastizität, Plastizität, Rheologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.