Computational Inelasticity (Interdisciplinary Applied Mathematics) - Hardcover

Simo, J. C.; Hughes, T. J.

 
9783540975205: Computational Inelasticity (Interdisciplinary Applied Mathematics)

Inhaltsangabe

THIS IS BOTH PROMO TEXT AND BACK COVER COPY!!! 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. TOC: 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.

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9781475771695: Computational Inelasticity (Interdisciplinary Applied Mathematics, Band 7)

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ISBN 10:  147577169X ISBN 13:  9781475771695
Verlag: Springer, 2013
Softcover