Complex variable method for an anti-plane elliptical cavity of one-dimensional hexagonal piezoelectric quasicrystals  

作　　者：Yu Jing Guo Junhong Xing Yongming 

机构地区：[1]School of Science, Inner Mongolia University of Technology [2]College of General Education, Inner Mongolia Normal University

出　　处：《Chinese Journal of Aeronautics》2015年第4期1287-1295,共9页中国航空学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.11262012, 11462020, 10761005 and 11262017);the Scientific Research Key Program of Inner Mongolia University of Technology of China (No.ZD201219);the Natural Science Foundation of Inner Mongolia Department of Public Education of China (No.NJZZ13037);the Inner Mongolia Natural Science Foundation of China (No.2013MS0114)

摘　　要：Based on the fundamental equations of piezoelasticity of quasicrystal media, using the symmetry operations of point groups, the linear piezoelasticity behavior of one-dimensional（1D）hexagonal quasicrystals is investigated and the piezoelasticity problem of 1D hexagonal quasicrystals is decomposed into two uncoupled problems, i.e., the classical plane elasticity problem of conventional hexagonal crystals and the phonon–phason-electric coupling elasticity problem of1 D hexagonal quasicrystals.The final governing equations are derived for the phonon–phasonelectric coupling anti-plane elasticity of 1D hexagonal quasicrystals.The complex variable method for an anti-plane elliptical cavity in 1D hexagonal piezoelectric quasicrystals is proposed and the exact solutions of complex potential functions, the stresses and displacements of the phonon and the phason fields, the electric displacements and the electric potential are obtained explicitly.Reducing the cavity into a crack, the explicit solutions in closed forms of electro–elastic fields,the field intensity factors and the energy release rate near the crack tip are derived.Based on the fundamental equations of piezoelasticity of quasicrystal media, using the symmetry operations of point groups, the linear piezoelasticity behavior of one-dimensional（1D）hexagonal quasicrystals is investigated and the piezoelasticity problem of 1D hexagonal quasicrystals is decomposed into two uncoupled problems, i.e., the classical plane elasticity problem of conventional hexagonal crystals and the phonon–phason-electric coupling elasticity problem of1 D hexagonal quasicrystals.The final governing equations are derived for the phonon–phasonelectric coupling anti-plane elasticity of 1D hexagonal quasicrystals.The complex variable method for an anti-plane elliptical cavity in 1D hexagonal piezoelectric quasicrystals is proposed and the exact solutions of complex potential functions, the stresses and displacements of the phonon and the phason fields, the electric displacements and the electric potential are obtained explicitly.Reducing the cavity into a crack, the explicit solutions in closed forms of electro–elastic fields,the field intensity factors and the energy release rate near the crack tip are derived.

关 键 词：Complex variable methodElliptical cavity Fracture mechanics Piezoelasticity QUASICRYSTALS 

分 类 号：V250[一般工业技术—材料科学与工程]