Elasto-Plasticity of Frame Structure Elements
Modeling and Simulation of Rods and Beams
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Beschreibung
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.
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
Autor*in
Andreas Öchsner
Themen in »Elasto-Plasticity of Frame Structure Elements«
Constitutive equations Elasto-plastic finite element procedures Finite element methods FEM axial beam bending mechanics plasticity