Overview

The current use of complex materials in nanotechnology and industrial engineering has led to a number of intricate problems in mechanics, and the macroscopic behavior of such materials often depends critically on their substructures. This work, written by leading mathematicians and engineers, features a broad range of topics that offer both experimental results and clear, detailed answers to fundamental questions about the general formulation of multifield theories within the context of modeling material substructures. Applied mathematicians, mechanical and structural engineers, material scientists, graduate students, and researchers in the above areas will benefit from the work and may find suggestions for further research in its rich collection of open problems.

Full Product Details

Author:   Gianfranco Capriz ,  Paolo Maria Mariano
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2004 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.260kg
ISBN:  

9780817643249

ISBN 10:   0817643249
Pages:   263
Publication Date:   19 November 2003
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface.- 1. Work Conditions and Energy Functions for Ideal Elastic-Plastic Materials.- 2. Generalized Elastic-Plastic Decomposition in Defective Crystals.- 3. Cocycles, Compatibility, and Poisson Brackets for Complex Fluids.- 4. Defect-Induced Transitions as Mechanisms of Plasticity and Failure in Multifield Continua.- 5. Extended Thermodynamics: A Multifield Theory Par Excellence.- 6. Microstructure and Turbulence in Dilute Polymer Solutions.- 7. Fluxes and Flux-Conjugate Stresses.- 8. Algebra, Geometry, and Computations of Exact Relations for Effective Moduli of Composites.- 9. A Multifield Theory for the Modeling of the Macroscopic Behavior of Shape Memory Materials.- 10. Balance at a Junction among Coherent Interfaces in Materials with Substructure.

Reviews

As an outgrowth of a symposium held in Taormina, Italy, in 2001, ten invited papers on multifield theories for continua with substructure are presented here. Multifield theories aim to bridge the area between materials science and continuum mechanics. From the standpoint of material constituents, the simplest model is considered in the contribution of I. MA1/4ller: a monatomic gas.a ] Other contributions deal with the interaction of polymer chains and the turbulent state of a fluida ]with topological properties of defects, of shape memory and others. The perhaps most theoretical article is by Cendra, Marsden and Ratiu ona ]extendeda ]Poisson brackets with cocycles. The articles, though dealing with nontrivial matters, are quite readable and informative even for the nonspecialist. <p>a Monatshefte fA1/4r Mathematik <p>.,. This compendium is extremely diverse ...The individual contributions in this compendium are certainly quite interesting and worth reading. <p>a Rezensionen <p>

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