Advances in Multifield Theories for Continua with Substructure

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 model... Ausführliche Beschreibung

1. Person: Capriz, Gianfranco [editor]
Weitere Körperschaften: SpringerLink (Online service)
Weitere Personen: Mariano, Paolo Maria [editor]
Format: E-Buch
Sprache: English
Veröffentlicht: Boston, MA Birkhäuser Boston 2004, 2004
Beschreibung: XI, 263 p online resource
Ausgabe: 1st ed. 2004
Serien: Modeling and Simulation in Science, Engineering and Technology
Schlagworte: Applied mathematics
Mechanics, Applied
Solid Mechanics
Engineering mathematics
Theoretical and Applied Mechanics
Applications of Mathematics
Mechanics
Condensed Matter Physics
Condensed matter
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100 1 |a Capriz, Gianfranco  |e [editor] 
245 0 0 |a Advances in Multifield Theories for Continua with Substructure  |h Elektronische Ressource  |c edited by Gianfranco Capriz, Paolo Maria Mariano 
250 |a 1st ed. 2004 
260 |a Boston, MA  |b Birkhäuser Boston  |c 2004, 2004 
300 |a XI, 263 p  |b online resource 
505 0 |a 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 
653 |a Applied mathematics 
653 |a Mechanics, Applied 
653 |a Solid Mechanics 
653 |a Engineering mathematics 
653 |a Theoretical and Applied Mechanics 
653 |a Applications of Mathematics 
653 |a Mechanics 
653 |a Condensed Matter Physics 
653 |a Condensed matter 
700 1 |a Mariano, Paolo Maria  |e [editor] 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Modeling and Simulation in Science, Engineering and Technology 
856 |u https://doi.org/10.1007/978-0-8176-8158-6?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519 
520 |a 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, 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 

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