Mathematical Theory of Elasticity of Quasicrystals and Its Applications Fan, Tia - livro usado

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Número ISBN/EAN: 9783642146428

Número ISBN - Ortografia alternativa:
3-642-14642-2, 978-3-642-14642-8
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: fan, tian
Título do livro: theory elasticity, mathematical elasticity, applications theory, elas, quasicrystal, tia and tia

Dados da editora

Autor: Tianyou Fan
Título: Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Editora: Springer; Springer Berlin; Science Press
350 Páginas
Ano de publicação: 2011-03-28
Berlin; Heidelberg; DE
Língua: Inglês
223,63 € (DE)
229,90 € (AT)
230,00 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Maschinenbau und Werkstoffe; Verstehen; Ingenieurwissenschaften; Quasicrystal; Mathematical elasticity; Exact analytic solutions; SCIPRESS; Potential theory; Defects; B; Continuum Mechanics and Mechanics of Materials; Engineering; Condensed Matter Physics; Applications of Mathematics; Materialwissenschaft / Aggregatzustände; Angewandte Mathematik; EA; BB

This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed.

The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.

This book presents a clear-cut, strict and systematic mathematical overview of the continuum mechanics of novel materials, condensed matter physics and partial differential equations, and explores the mathematical theory of elasticity of quasicrystals.

Preface.- Crystals.- Framework of the classical theory of elasticity.- Quasicrystals and their properties.- Physical basis of the elasticity of quasicrystals.- Elasticity theory of one-dimensional quasicrystals and simplification.- Elasticity theory of two-dimensional quaiscrystals and simplification.- Application I--Some dislocation problems and solutions of one- and two-dimensional quasicrystals.- Application II--Some notch and crack problems and solutions of one- and two-dimensional quasicrystals.- Elasticity of three-dimensional quasicrystals and applications.- Elastodynamics of quasicrystals.- Complex variable function method.- Variational principles, numerical method and solutions of two-dimensional quasicrystals.- Some mathematical principles on solutions of elasticity of quasicrystals.- Nonlinear elasticity and plasticity.- Fracture theory of quasicrystals.- Possible applications of elasticity to the study of specific heat of quasicrystals.

From the reviews:

First monograph published on this subject area

Includes theoretical system and methodology of elasticity and a series of analytic solutions for dislocations and cracks in various quasicrystal systems

Offers an in-depth, original and innovational presentation of mathematical derivations and solutions

Includes many results in new area such as plasticity, elasto-/hydrodynamics and the fracture theory of quasicrystals