Three-dimensional exact thermo-elastic analysis of multilayered two-dimensional quasicrystal nanoplates

Abstract

• A 3D thermo-elastic analytical solution for 2D QC nanoplates is derived. • Pseudo-Stroh formalism and nonlocal theory is extended. • The effects of nonlocal parameters, stress-temperature coefficients, and stacking sequences are investigated. A three-dimensional thermo-elastic analytical solution for two-dimensional quasicrystal simply supported nanoplates subjected to a temperature change on their top surface is presented. The nonlocal theory and pseudo-Stroh formalism are used to obtain the exact solution for a homogeneous two-dimensional decagonal quasicrystal nanoplate with its thickness direction as a quasi-periodic direction. The propagator matrix method is introduced to deal with the corresponding multilayered nanoplates. Comprehensive numerical results show that nonlocal parameters, stress-temperature coefficients, stacking sequences have great influence on the stress, displacement components and heat fluxes of the nanoplates. In addition, the stacking sequences also influence the temperature and heat fluxes of the nanoplate. The exact thermo-elastic solution should be of interest to the design of the two-dimensional quasicrystal homogeneous and multilayered plates. The mechanical behaviors of the nanoplates in numerical results can also serve as benchmarks to verify various thin-plate theories or other numerical methods.