Thermo‐elastic analysis of functionally graded multilayered two‐dimensional decagonal quasicrystal plates

Abstract

Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates.

Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave

“…Therefore, a novel type of composite material-functionally graded QCs is proposed, which has a broader application prospect. Recently, more and more attention has been paid to the mechanical research of functional hierarchical quality control structures [36][37][38]. Zhang et al [39,40] studied guided wave characteristics in the functionally graded 1D and 2D hexagonal QCs plate.…”

Electric–elastic analysis of multilayered two-dimensional decagonal quasicrystal circular plates with simply supported or clamped boundary conditions

“…The pseudo-Stroh formalism [11] was applied to solve the static deformation of multilayered 1D hexagonal piezoelectric QC rectangular plates. Furthermore, the electric–elastic [12] and thermo-elastic [13] problems of a multilayered 2D decagonal QC rectangular plate were analyzed. Focusing on the QC cylinder, Guo and Pan [14] used the Laurent expansion technique to investigate the physical characteristics of 1D piezoelectric QC composite cylinder models.…”

“…Pan and Heyliger [35] investigated static and free vibration problems for multilayered magneto-electro-elastic plates with simply supported boundary conditions. In previous work [9–13], the mechanical boundary conditions applied at the four edges of the QC plates were simply supported. Compared with the simply supported condition, the clamped boundary condition has stronger constraint for the structure in engineering application, but the related solution is more complex.…”

Guided waves in a functionally graded 1-D hexagonal quasi-crystal plate with piezoelectric effect

“…It can not only possess the superior material performance of quasi-crystals but also overcome the high brittleness at room temperature, so as to promote its wider engineering applications. Simultaneously, mechanical behaviors of FGQC structures are also received increasing attention (Li et al, 2018(Li et al, , 2019Zhang et al, 2019a). However, they are mainly focused on statics, not dynamics including the wave motion.…”