Download e-book for iPad: Mathematical Theory of Elasticity of Quasicrystals and Its by Tian-You Fan
By Tian-You Fan
This inter-disciplinary paintings protecting the continuum mechanics of novel fabrics, condensed topic physics and partial differential equations discusses the mathematical concept of elasticity of quasicrystals (a new condensed subject) and its purposes via constructing new partial differential equations of upper order and their options less than advanced boundary price and preliminary price stipulations. the hot theories built right here dramatically simplify the fixing of complex elasticity equation platforms. huge numbers of advanced equations concerning elasticity are decreased to a unmarried or a couple of partial differential equations of upper order. Systematical and direct equipment of mathematical physics and complicated variable services are built to unravel the equations below acceptable boundary price and preliminary worth stipulations, and lots of distinct analytical strategies are developed.
The dynamic and non-linear research of deformation and fracture of quasicrystals during this quantity provides an leading edge process. It provides a straight forward, strict and systematic mathematical assessment of the sphere. accomplished and distinctive mathematical derivations advisor readers during the paintings. by way of combining mathematical calculations and experimental facts, theoretical research and functional purposes, and analytical and numerical reviews, readers will achieve systematic, accomplished and in-depth wisdom on continuum mechanics, condensed topic physics and utilized mathematics.