Mechanics and Physics of Structured Media

Asymptotic and Integral Equations Methods of Leonid Filshtinsky.

Häftad, Engelska, 2022

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Beskrivning

Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length.

Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material.

Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more
Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description
Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more
Applies homogenization concepts to various physical systems

Produktinformation

Utgivningsdatum:2022-01-25
Mått:152 x 229 x 27 mm
Vikt:450 g
Format:Häftad
Språk:Engelska
Antal sidor:524
Förlag:Elsevier Science
ISBN:9780323905435

Utforska kategorier

Maskinteknik och material inom Naturvetenskap och teknik

Mer om författaren

Igor V. Andrianov is Professor Emeritus, RWTH Aachen University. He is the author or co-author of 14 books and more than 300 papers in peer-reviewed journals. He has presented papers at more than 150 international conferences and seminars and also supervised 21 PhD. Students. His research interests include mechanics of solids, mechanics of composite materials, nonlinear dynamics, and asymptotic methods. 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..

Innehållsförteckning

1. L.A. Filshtinsky’s contribution to Applied Mathematics and Mechanics of SolidsVladimir Mityushev, Igor Andrianov, and Simon Gluzman2. Cracks in two-dimensional magneto-electro-elastic mediumD. Nosov, L.A. Filshtinskii, and V. Mityushev3. Two-dimensional equations of magneto-electro-elasticityV. Mityushev, D. Nosov, and R. Wojnar4. Hashin-Shtrikman assemblage of inhomogeneous spheresA. Cherkaev and V. Mityushev5. Inverse conductivity problem for spherical particlesVladimir Mityushev, Natalia Rylko, Zhanat Zhunussova, and Yeskendyr Ashimov6. Compatibility conditions: number of independent equations and boundary conditionsI.V. Andrianov and H. Topol7. Critical index for conductivity, elasticity, superconductivity. Results and methodsSimon Gluzman8. Double periodic bianalytic functionsPiotr Drygas9. The slowdown of group velocity in periodic waveguidesYuri A. Godin and Boris Vainberg10. Some aspects of wave propagation in a fluid-loaded membraneJ. Kaplunov, L. Prikazchikova, and S. Shamsi11. Parametric vibrations of axially compressed functionally graded sandwich plates with a complex planformKurpa Lidiya and Shmatko Tetyana12. Application of volume integral equations for numerical calculation of local fields and effective properties ofelastic compositesS. Kanaun and A. Markov13. A slipping zone model for a conducting interface crack in a piezoelectric bimaterialV. Loboda, A. Sheveleva, and O. Mykhail14. Dependence of effective properties upon regular perturbationsMatteo Dalla Riva, Paolo Luzzini, Paolo Musolino, and Roman Pukhtaievych15. Riemann-Hilbert problems with coefficients in compact Lie groupsG. Giorgadze and G. Khimshiashvili16. When risks and uncertainties collide: quantum mechanical formulation of mathematical finance forarbitrage marketsSimone Farinelli and Hideyuki Takada17. Thermodynamics and stability of metallic nano-ensemblesMichael Vigdorowitsch18. Comparative analysis of local stresses in unidirectional and cross-reinforced compositesA.G. Kolpakov and S.I. Rakin19. Statistical theory of structures with extended defectsV.I. Yukalov and E.P. Yukalova20. Effective conductivity of 2D composites and circle packing approximationsRoman Czapla and Wojciech Nawalaniec21. Asymptotic homogenization approach applied to Cosserat heterogeneous mediaVictor Yanes, Federico J. Sabina, Yoanh Espinosa-Almeyda,Jose A. Otero, and Reinaldo Rodríguez-Ramos