عنوان
پدید آورنده
موضوع
رده
TA418.9.C6
TA418
.
9
.
C6
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0128110473
(Number (ISBN
9780128110478
Erroneous ISBN
0128110465
Erroneous ISBN
9780128110461
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Computational Analysis of Structured Media
General Material Designation
[Book]
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Academic Pr
Date of Publication, Distribution, etc.
2017.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Mathematical Analysis and its Applications
CONTENTS NOTE
Text of Note
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
Text of Note
4. Schwarzâ#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 Padà ̈approximants for indeterminate problem
Text of Note
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 Padà ̈approximants -- 8. Comment on contrast parameter -- Reference
Text of Note
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 Padà ̈approximants -- 7. Discussion of the ansatz -- 8. Square and hexagonal united -- 9. Dependence on contrast parameter -- Reference
Text of Note
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
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SUMMARY OR ABSTRACT
Text of Note
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.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Ingram Content Group
Stock Number
9780128110478
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
0128110465
TOPICAL NAME USED AS SUBJECT
Composite materials-- Mathematical models.
Composite materials-- Mathematical models.
TECHNOLOGY & ENGINEERING-- Engineering (General)
TECHNOLOGY & ENGINEERING-- Reference.
(SUBJECT CATEGORY (Provisional
TEC-- 009000
TEC-- 035000
DEWEY DECIMAL CLASSIFICATION
Number
620
.
1/18
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
TA418
.
9
.
C6
ORIGINATING SOURCE
Date of Transaction
20200822084909.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
