Computational Analysis of Structured Media

Erscheinungsjahr 2017
ISBN: 978-0-12-811046-1
Verlag: Elsevier Science

Buch, Englisch, 328 Seiten, Format (B × H): 191 mm x 233 mm, Gewicht: 695 g

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.

Zielgruppe

<p>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</p>

Autoren/Hrsg.

Gluzman, Simon

Mityushev, Vladimir

Nawalaniec, Wojciech

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Verbundwerkstoffe

Inhaltsverzeichnis

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

Über Autor(innen)

Nawalaniec, Wojciech
Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Kraków. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.

Mityushev, Vladimir
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.
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Gluzman, Simon
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.