Elasto-Plasticity of Frame Structure Elements

Modeling and Simulation of Rods and Beams

Andreas Öchsner (Autor)

Buch | Softcover

XX, 596 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer Berlin (Verlag)
978-3-662-50689-9 (ISBN)

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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.

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.

Erscheinungsdatum	03.08.2016
Zusatzinfo	XX, 596 p. 328 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Technik ► Maschinenbau
Schlagworte	axial beam bending • Characterization and Evaluation of Materials • computational science and engineering • Constitutive Equations • Continuum Mechanics and Mechanics of Materials • Elasto-plastic finite element procedures • Engineering • Finite Element Methods FEM • Maths for scientists • Mechanical engineering and materials • mechanics plasticity • Testing of materials
ISBN-10	3-662-50689-0 / 3662506890
ISBN-13	978-3-662-50689-9 / 9783662506899
Zustand	Neuware