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Computational Analysis of Structured Media
Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties....
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Academic Pr
2017.
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| Colección: | Mathematical Analysis and its Applications
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Computational Analysis of Structured Media |
| 260 | |b Academic Pr |c 2017. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Mathematical Analysis and its Applications | |
| 505 | 0 | |a Front Cover -- Computational Analysis of Structured Media -- Copyright -- Dedication -- Contents -- Acknowledgment -- Preface -- Reference -- Chapter 1: Introduction -- Reference -- Chapter 2: Complex Potentials and R-linear problem -- 1. Complex potentials -- 2. R-linear problem -- 3. Metod of functional equations -- Reference -- Chapter 3: Constructive homogenization -- 1. Introduction -- 2. Deterministic and stochastic approaches -- 3. Series expansions for the local fields and effective tensors. Traditional approach | |
| 505 | 8 | |a 4. Schwarz�a#x80;#x99;s method5. Remark on asymptotic methods -- Reference -- Chapter 4: From Basic Sums to effective conductivity and RVE) -- 1. Basic Sums -- 2. Identical circular inclusions. -- 3. Representative volume element -- 4. Method of Rayleigh -- Reference -- Chapter 5: Introduction to the method of self-similar approximants -- 1. Brief introduction to extrapolation -- 2. Algebraic renormalization and self-similar bootstrap -- 3. Extrapolation problem and self-similar approximants -- 4. Corrected Pad�A� approximants for indeterminate problem | |
| 505 | 8 | |a 5. Calculation of critical exponents6. Interpolation with self-similar root approximants -- Reference -- Chapter 6: Conductivity of regular composite. Square lattice -- 1. Introduction -- 2. Critical point, square array -- 3. Critical Index s -- 4. Crossover formula for all concentrations -- 5. Expansion near the threshold -- 6. Additive ansatz. Critical amplitude and formula for all concentrations -- 7. Interpolation with high-concentration Pad�A� approximants -- 8. Comment on contrast parameter -- Reference | |
| 505 | 8 | |a Chapter 7: Conductivity of regular composite. Hexagonal array 1. Effective conductivity and critical properties of a hexagonal array of superconducting cylinders -- 2. Series for hexagonal array of superconducting cylinders -- 3. Critical Point -- 4. Critical index and amplitude -- 5. Critical amplitude and formula for all concentrations -- 6. Interpolation with high-concentration Pad�A� approximants -- 7. Discussion of the ansatz -- 8. Square and hexagonal united -- 9. Dependence on contrast parameter -- Reference | |
| 505 | 8 | |a Chapter 8: Effective Conductivity of 3D regular composites 1. Modified Dirichlet problem. Finite number of balls -- 2. 3D periodic problems -- 3. Triply periodic functions -- 4. Functional equations on periodic functions -- 5. Analytical formulae for the effective conductivity. Discussion and overview of the known results. -- 6. Non-conducting inclusions embedded in an conducting matrix. FCC lattice -- 7. Non-conducting inclusions embedded in an conducting matrix. SC and BCC lattices -- Reference -- Chapter 9: Random 2D composites | |
| 520 | |a Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. | ||
| 650 | 0 | |a Composite materials |x Mathematical models. | |
| 650 | 6 | |a Composites |0 (CaQQLa)201-0025721 |x Mod�eles math�ematiques. |0 (CaQQLa)201-0379082 | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Engineering (General) |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Reference. |2 bisacsh | |
| 650 | 7 | |a Composite materials |x Mathematical models |2 fast |0 (OCoLC)fst00871716 | |
| 720 | |a Gluzman, Simon | ||
| 720 | |a Mityushev, Vladimir | ||
| 720 | |a Nawalaniec, Wojciech | ||
| 776 | 0 | 8 | |i Print version: |z 9780128110461 |z 0128110465 |w (OCoLC)974698918 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780128110461 |z Texto completo |