T. J. R. Hughes, J. C. Simo

Computational Inelasticity

• Gebundenes Buch

Produktbeschreibung

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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Produktdetails

• Interdisciplinary Applied Mathematics Nr.7
• Verlag: Springer New York / Springer US, New York, N.Y.
• Artikelnr. des Verlages: 10016639
• 1998
• Seitenzahl: 412
• Erscheinungstermin: 13. August 1998
• Englisch
• Abmessung: 241mm x 160mm x 28mm
• Gewicht: 781g
• ISBN-13: 9783540975205
• ISBN-10: 3540975209
• Artikelnr.: 21702474

Inhaltsangabe

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.

Rezensionen

"This book is well written, is easy to follow, and contains much useful material for researchers and graduate students in various branches of engineering and applied mathematics." Newsletter of the EMS, Issue 42, December 2001