Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates

Exact Solutions for Simply Supported and Multilayered Piezothermoelastic Plates with Imperfect Interfaces

“…All the layers have the same thickness. The material properties of the graphite-epoxy [4,6] and PZT-5A [4,6] piezoelectric layers are given in Table 1. As in [6], we treat the graphiteepoxy layer as a piezoelectric material with the piezoelectric moduli set equal to zero.…”

“…Simply-supported, electrically grounded and zero temperature edge boundary conditions for each layer [4][5][6][7][8]21]…”

“…Three-dimensional analytical solutions for simplysupported plates continue to attract investigators' attention [1][2][3][4][5][6][7][8][9]. Various techniques including the asymptotic expansion scheme [7], the state space formulation [4,7], the Stroh formalism [6], the pseudo-Stroh formalism [8,9], and the transfer matrix (or propagator matrix) [2,[7][8][9] have been proposed in these studies.…”

“…Various techniques including the asymptotic expansion scheme [7], the state space formulation [4,7], the Stroh formalism [6], the pseudo-Stroh formalism [8,9], and the transfer matrix (or propagator matrix) [2,[7][8][9] have been proposed in these studies. The materials studied encompass purely elastic [1,2], piezoelectric [3,6,7], piezothermoelastic [4,5], and multiferroic [8,9] materials. One common assumption in most of the aforementioned works is that the extended displacement and traction vectors (see [8] for a detailed definition) are continuous across the interface between two adjacent layers.…”

Three-Dimensional Asymptotic Scheme for Piezothermoelastic Laminates

“…Several investigations 8 ] 18 have been carried out to analyze the effects of temperature changes in piezothermoelastic materials. In w x particular, Xu et al 16, 17 have used a transfer matrix approac h to study the w x thermo-electro-mechanical characteristics of laminated plates. Dube et al 18 have presented an exact solution for a simply supported single-layer piezothermoelastic plate with its edges grounded.…”