Advances in Multifield Theories for Continua with Substructure

Gianfranco Capriz, Paolo Maria Mariano (Herausgeber)

Buch | Softcover

263 Seiten

2012 | Softcover reprint of the original 1st ed. 2004
Springer-Verlag New York Inc.
978-1-4612-6465-1 (ISBN)

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Toachieve design, implementation,and servicing ofcomplex systems and struc tures in an efficient and cost-effective way,a deeper knowledge and understanding of the subtle cast and detailed evolution of materials is needed. The analysis in demand borders with the molecular and atomic one, spanning all the way down from classical continua. The study of the behavior of complex materials in sophisticated devices also opens intricate questions about the applicability of primary axioms ofcontinuum mechanics such as the ultimate nature of the material element itselfand the possibility ofidentifying itperfectly. So it is necessary to develop tools that allow usto formulate both theoretical models and methods of numerical approximation for the analysis of material substructures. Multifield theories in continuum mechanics, which bridge classical materials science and modern continuum mechanics, provide precisely these tools. Multifield theories not only address problems of material substructures, but also encompass well-recognized approaches to the study of soft condensed matter and allow one to model disparate conditions in various states ofmatter. However, research inmultifield theories is vast, and there is little in the way of a comprehensive distillation of the subject from an engineer's perspective. Therefore, the papers in the present volume, 1 which grew out of our experience as editors for an engineeringjournal, tackle some fundamental questions,suggest solutions of concrete problems, and strive to interpret a host of experimental evidence. In this spirit, each of the authors has contributed original results having in mind their wider applicability.

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.

Erscheint lt. Verlag	29.10.2012
Reihe/Serie	Modeling and Simulation in Science, Engineering and Technology
Zusatzinfo	XI, 263 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Bauwesen
	Technik ► Maschinenbau
ISBN-10	1-4612-6465-0 / 1461264650
ISBN-13	978-1-4612-6465-1 / 9781461264651
Zustand	Neuware