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Advances in Multifield Theories for Continua with Substructure

Advances in Multifield Theories for Continua with Substructure


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About the Book

The current use of complex materials in nanotechnology and industrial engineering has led to a number of intricate problems in mechanics. The macroscopic behavior of such materials often depends critically on their substructures. Multifield theories in continuum mechanics provide the tools for modeling and describing these material substructures, as is emphasized in this book. Indeed multifield theories are an active area of research because of the numerous theoretical and numerical problems emerging in the field. Written by leading mathematicians and engineers, the chapters feature a broad range of topics that offer both experimental results and clear, detailed answers to fundamental questions about the general formulation of multifield theories. Amid a rich collection of open problems, selected subjects treated include: * Energetic and geometric properties of elastic-plastic materials * Poisson structures for complex fluids * Drag reduction in turbulence due to polymeric substructures * Topological properties of stresses and defects * Exact relations for the effective behavior of composites * Multifield macroscopic modeling of shape memory effects and extended thermodynamics * Properties of junctions and interfaces Applied mathematicians, mechanical and structural engineers, material scientists, graduate students, and researchers in the above areas will benefit from this work. Contributors: D. Bernardini I. Muller G. Capriz O. B. Naimark C. M. Casciola G. Parry H. Cendra T. J. Pence E. De Angelis R. Piva Y. Grabovsky T. S. Ratiu P. M. Mariano R. Segev J. Marsden M. Silhavy

Review :
"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. Muller: a monatomic gas. Other contributions deal with the interaction of polymer chains and the turbulent state of a fluid with topological properties of defects, of shape memory and others. The perhaps most theoretical article is by Cendra, Marsden and Ratiu on extended Poisson brackets with cocycles. The articles, though dealing with nontrivial matters, are quite readable and informative even for the nonspecialist." Monatshefte fur Mathematik ."..This compendium is extremely diverse ...The individual contributions in this compendium are certainly quite interesting and worth reading." Rezensionen


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Product Details
  • ISBN-13: 9780817681593
  • Publisher: Springer My Copy UK
  • Publisher Imprint: Springer My Copy UK
  • Height: 234 mm
  • Weight: 395 gr
  • ISBN-10: 0817681590
  • Publisher Date: 19 Nov 2003
  • Binding: Paperback
  • Spine Width: 15 mm
  • Width: 156 mm


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