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Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Fan, Tian-You
Berlin, Heidelberg: Springer Nature 2016
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Título:
Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Autor:
Fan, Tian-You
Assuntos:
Applications of Mathematics
;
Condensed Matter Physics
;
Engineering
;
Physics
;
Quasicrystals
;
Solid Mechanics
;
Surfaces (Physics)
Descrição:
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.
Títulos relacionados:
Springer series in materials science
Editor:
Berlin, Heidelberg: Springer Nature
Data de criação/publicação:
2016
Formato:
462
Idioma:
Inglês;Alemão
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