Advances in Multifield Theories for Continua with Substructure

  • Gianfranco Capriz
  • Paolo Maria Mariano

About this 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.



D. Bernardini, G. Capriz, C. M. Casciola, H. Cendra, E. DeAngelis, Y. Grabovsky, P. M. Mariano, J. Marsden, I. Müller, O. B. Naimark, G. Parry, T. J. Pence, R. Piva, T. S. Ratiu, R. Segev, M. Silhavy



Algebra composite continuum mechanics dynamics geometry mechanics modeling plasticity stress thermodynamics transitions

Editors and affiliations

  • Gianfranco Capriz
    • 1
  • Paolo Maria Mariano
    • 2
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Ingegneria Strutturale e GeotecnicaUniversità di Roma “La Sapienza”RomaItaly

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 2004
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6465-1
  • Online ISBN 978-0-8176-8158-6
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site