Project supported by the National Natural Science Foundation of China(Grant No.11172319);the Scientific Fund of Chinese Universities(Grant Nos.2011JS046 and 2013BH008);the Opening Fund of State Key Laboratory of Nonlinear Mechanics,Program for New Century Excellent Talents in University,China(Grant No.NCET-13-0552);the National Science Foundation for Post-doctoral Scientists of China(Grant No.2013M541086)
Icosahedral quasicrystals are the most important and thermodynamically stable in all about 200 kinds of quasicrystals currently observed. Beyond the scope of classical elasticity, apart from a phonon displacement fiel...