Elasto-Plasticity of Frame Structure Elements

Modeling and Simulation of Rods and Beams

Nonfiction, Science & Nature, Technology, Material Science, Science, Physics, Mechanics
Cover of the book Elasto-Plasticity of Frame Structure Elements by Andreas Öchsner, Springer Berlin Heidelberg
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Author: Andreas Öchsner ISBN: 9783662442258
Publisher: Springer Berlin Heidelberg Publication: August 13, 2014
Imprint: Springer Language: English
Author: Andreas Öchsner
ISBN: 9783662442258
Publisher: Springer Berlin Heidelberg
Publication: August 13, 2014
Imprint: Springer
Language: English

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.

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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.

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