General solutions of plane elasticity of one-dimensional quasicrystals with piezoelectric effect
In this paper, a theory of general solutions of plane elasticity of 1D orthorhombic quasicrystals with piezoelectric effect is developed.By introducing a displacement function and using the rigorous operator theory, a set of complicated equations of the in-plane problem are simplified to an eighth-order partial differential governing equation.The general solutions arein different forms by virtue of the different cases of characteristic roots, and all solutions are in simplified forms and are conveniently applied.Here, only the case that characteristic roots are distinct is considered.Utilizing the general solutions and superposition procedure,fundamental solutions for wedge problems of 1D orthorhombicquasicrystals with piezoelectric effect are derived.At the last, the numerical results for half-infinite plane problems and wedge problems are given.
1D orthorhombic quasicrystals Piezoelectric effect General solutions Wedge problems
Liangliang Zhang Yiming Zhang Yang Gao
College of Engineering, China Agricultural University, Beijing 100083, China College of Science, China Agricultural University, Beijing 100083, China
国内会议
湖南张家界
英文
73-78
2014-08-17（万方平台首次上网日期，不代表论文的发表时间）