Based on present research status of quasicrystal

the classification with structural symmetry

the construction of quasi-periodic model and the correlation between quasicrystal and its approximants were introduced briefly. The preparation technology of bulk single grian quasicrystal

defect evolution during plastic deformation

surface structure

surface property and other physical properties were summarized. Theoretical research such as continuum mechanics

atomistic simulation

Monte Carlo simulation and Finite Element Method were also discussed. The application of quasicrystal was prospected according to its physical properties including low surface energy

low friction coefficient and wear rate

excellent dispersion strengthening

high hardness and Young's Modulus

plasticity at high temperature

high thermal resistance and corrosion resistance

etc. Current limitations such as brittleness and bulk volume were pointed out

and issues which remain to be solved for further engineering applications were listed.