Computational Analysis of Structured Media
Published on 11. September 2017
Book
Paperback/Softback
328 pages
978-0-12-811046-1 (ISBN)
Description
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.
Reviews / Votes
"In conclusion, the treatise is very interesting and well written. The computational analysis of composites is given by using the classical analytic formulae in the complex domain. The analysis may be readily extended to special geometry, motion, material and alike of structured media. The treatise can be used even as a "basic reference? for teaching a graduate course, and it is highly recommended to researchers in applied mathematics and computational mechanics." --Zentralblatt MATHMore details
Series
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Applied mathematicians at graduate level and above and mathematically advanced engineers interested in macroscopic property analysis in composites and porous media for scientific or industrial ends
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 233 mm
Width: 191 mm
Thickness: 22 mm
Weight
695 gr
ISBN-13
978-0-12-811046-1 (9780128110461)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Simon Gluzman | Vladimir Mityushev | Wojciech Nawalaniec
Computational Analysis of Structured Media
E-Book
09/2017
Academic Press
€129.00
Available for download
Persons
Simon Gluzman is presently an Independent Researcher (Toronto, Canada) and formerly a Research Associate at PSU in Applied Mathematics. He is interested in Re-summation methods in theory of random and regular composites and the method of self-similar and rational approximants. Vladimir Mityushev is the Professor of Cracow University of Technology, a leader of the research group www.materialica.plus. He is interested in mathematical modeling and computer simulations, Industrial mathematics and boundary value problems and their applications.
. Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Krakow. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.
. Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Krakow. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.
Content
1. Introduction2. Complex potentials and R-linear problem3. Constructive Homogenization4. From basic sums to effective conductivity and RVE5. Introduction to the method of Self-Similar Approximants6. Conductivity of Regular Composite. Square Lattice7. Conductivity of Regular Composite. Hexagonal Array8. Effective Conductivity of 3D Regular Composites9. Random 2D Composites10. Elastic problem11. Table of the main analytical formulae