Composite materials : mathematical theory and exact relations

The mathematical method of composites has reached a very high level of maturity and developments have increased our understanding of the relationship between the microstructure of composites and their macroscopic behaviour. This book provides a self-contained unified approach to the mathematical fou...

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Hlavní autor: Grabovsky, Yury (Autor) 
Korporace: IOPscience (online služba) (Distributor) 
Institute of Physics Publishing (Nakladatel, vydavatel) 
Médium: E-kniha
Jazyk:angličtina
Vydáno: Bristol : IOP Publishing, 2016
Edice:IOP expanding physics
Žánr/forma:monografie
elektronické knihy
ISBN:978-0-7503-1115-1
978-0-7503-1048-2
978-0-7503-1049-9
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On-line přístup:Plný text
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245 1 0 |a Composite materials :  |b mathematical theory and exact relations /  |c Yury Grabovsky 
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505 0 |a 1. Introduction -- part I. Mathematical theory of composite materials -- 2. Material properties and governing equations -- 3. Composite materials -- part II. General theory of exact relations and links -- 4. Exact relations -- 5. Links -- 6. Computing exact relations and links -- part III. Case studies -- 7. Introduction -- 8. Conductivity with the Hall effect -- 9. Elasticity -- 10. Piezoelectricity -- 11. Thermoelasticity -- 12. Three-dimensional thermoelectricity -- part IV. Appendices -- A. E- and J -regularity for conductivity and elasticity -- B. A polycrystalline L-relation that is not exact -- C. Multiplication of SO(3) irreps in endomorphism algebras 
520 |a The mathematical method of composites has reached a very high level of maturity and developments have increased our understanding of the relationship between the microstructure of composites and their macroscopic behaviour. This book provides a self-contained unified approach to the mathematical foundation of the theory of composites, leading to the general theory of exact relations. It also provides complete lists of exact relations in many specific physically relevant contexts, such as conductivity, fibre-reinforced elasticity, piezoelectricity, thermoelectricity and more. 
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