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Interdisciplinary Applied Mathematics #7: Computational Inelasticity

by

Interdisciplinary Applied Mathematics #7: Computational Inelasticity Cover

 

Synopses & Reviews

Publisher Comments:

This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. The subject matter described herein constitutes a representative sample of state-of-the- art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalization of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalization to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Computational Inelasticity will be of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Synopsis:

Describing the theoretical foundations of inelasticity, and its numerical formulation and implementation, this book constitutes a representative sample of state-of-the-art methodology currently used in inelastic calculation. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, and integration algorithms for the constitutive equation of plasticity and viscoplasticity.

Synopsis:

A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Description:

Includes bibliographical references (p. 375-388) and index.

Table of Contents

Preface.- Motivation. One Dimensional Plasticity and Viscoplasticity.- Classical Rate Independent Plasticity and Integration Algorithms for Plasticity and Viscoplasticity.- Discrete Variational Formulation and Finite Elementary Implementations Non-Smooth Multisurface Plasticity and Viscoplasticity.- Numerical Analysis of General Return Mapping Algorithms.- Nonlinear Continuum Mechanics and Phenomenological Plasticity Models.- Objective Integration Algorithms for Rate Formulations of Elastoplasticity.- Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress Free Configuration.- Viscoelasticity.- References.- Index.

Product Details

ISBN:
9780387975207
Author:
Simo, J. C.
Author:
Hughes, Thomas J.
Author:
Simo, J. C.
Author:
Simo
Author:
Hughes, T.J.R.
Author:
Hughes, T. J. R.
Publisher:
Springer
Location:
New York, NY
Subject:
Mechanics
Subject:
Applied
Subject:
Computer Mathematics
Subject:
Number Systems
Subject:
Elasticity
Subject:
Viscoelasticity
Subject:
Mechanics - General
Subject:
Mathematics-Applied
Subject:
Algorithms
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
1998. Corr. 2nd
Series:
Interdisciplinary Applied Mathematics
Series Volume:
RCP113v. 7
Publication Date:
19980813
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
406
Dimensions:
235 x 155 mm 1660 gr

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Related Subjects

Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Foundations and Logic
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Science and Mathematics » Mathematics » Probability and Statistics » General
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Interdisciplinary Applied Mathematics #7: Computational Inelasticity New Hardcover
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Product details 406 pages Springer-Verlag - English 9780387975207 Reviews:
"Synopsis" by , Describing the theoretical foundations of inelasticity, and its numerical formulation and implementation, this book constitutes a representative sample of state-of-the-art methodology currently used in inelastic calculation. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, and integration algorithms for the constitutive equation of plasticity and viscoplasticity.
"Synopsis" by , A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
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