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Computational Inelasticity

ISBN-10: 0387975209
ISBN-13: 9780387975207
Edition: 1998
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Description: 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  More...

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Book details

Copyright year: 1998
Publisher: Springer
Publication date: 7/19/2000
Binding: Hardcover
Pages: 392
Size: 6.25" wide x 9.75" long x 1.00" tall
Weight: 1.540
Language: English

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.

Preface
Motivation. One-Dimensional Plasticity and Viscoplasticity
Classical Rate-Independent Plasticity and Viscoplasticity
Integration Algorithms for Plasticity and Viscoplasticity
Discrete Variational Formulation and Finite-Element Implementation
Nonsmooth 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

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