摘要
The thermoelastic plane problems of two-dimensional decagonal quasicrystals(QCs)are systematically investigated.By introducing a displacement function,the problem of thermoelastic plane problems can be simplified to an eighth-order partial differential governing equation,and then general solutions are presented through an operator method.By virtue of the Almansi′s theorem,the general solutions are further established,and all expressions for the phonon,phason and thermal fields are described in terms of the potential functions.As an application of the general solution,for a steady point heat source in a semi-infinite quasicrystal plane,the closed form solutions are presented by four newly induced harmonic functions.
The thermoelastic plane problems of two-dimensional decagonal quasicrystals （QCs） are systematically investigated. By introducing a displacement function, the problem of thermoelastic plane problems can be simpli- fied to an eighth-order partial differential governing equation, and then general solutions are presented through an operator method. By virtue of the Almansirs theorem, the general solutions are further established, and all expres- sions for the phonon, phason and thermal fields are described in terms of the potential functions. As an application of the general solution, for a steady point heat source in a semi-infinite quasicrystal plane, the closed form solu- tions are presented by four newly induced harmonic functions.
基金
supported by the National Natural Sci-ence Foundation of China(11172319)
the Chinese Univer-sities Scientific Fund(2011JS046,2013BH008)
the Opening Fund of State Key Laboratory of Nonlinear Mechanics
the Program for New Century Excellent Talents in Univer-sity(NCET-13-0552)
the National Science Foundation for Post-doctoral Scientists of China(2013M541086)
作者简介
Gao Yang, Professor, E-mail： gaoyangg@gmail, com.
