Computational Analysis of Structured Media

Applies advanced asymptotic methods, constructive homogenization approaches in PDEs, and applied mathematics and symbolic-numerical computation to macroscopic property analysis in composites and porous media

Simon Gluzman (Author), Vladimir Mityushev (Author), Wojciech Nawalaniec (Author)

9780128110461

Paperback, published 11 September 2017

328 pages
23.4 x 19 x 2.1 cm, 0.66 kg

"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 MATH

Approx.308 pages

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

Subject Areas: Applied mathematics [PBW]