Thermoelastic damping analysis in microbeam resonators based on Moore–Gibson–Thompson generalized thermoelasticity theory

On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity

“…It is worth noting that we can also obtain the MGT system of thermoelasticity as a particular case of the theory proposed by Gurtin [15], as can be seen in [16,17]. It is also worth remarking that this thermoelastic theory has received much attention in the last 2 years (see [9,[16][17][18][19][20][21][22][23][24][25][26][27], among others).…”

“…It is worth saying that we can also obtain the system of the MGT-system of thermoelasticity as a particular case of the theory proposed by Gurtin Gurtin (1972), as it can be seen in Bazarra et al (2020a); Conti et al (2020c). It is worth saying that this thermoelastic theory has received much attention in the last two years (see Bazarra et al (2020aBazarra et al ( ,b, 2021a; Conti et al (2020a,b,c); Fernández and Quintanilla (2021); Jangid and Mukhopadhyay (2020a,b); Kumar and Mukhopadhyay (2020); Ostoja-Starzewski and Quintanilla (2020); Pellicer and Quintanilla (2020); Quintanilla (2020), among others).…”

Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type

“…In the present contribution, we consider the equations of the porous thermoelasticity invariant under time reversal, and we specify several examples of constitutive systems. In particular, we recover the Moore-Gibson-Thompson thermoelasticity [20,[25][26][27][28][29][30], but we also obtain some other systems which are new in the study of porous thermoelasticity. In this paper, we analyze the time decay of four onedimensional systems obtained in this way.…”

Thermo-Optical Mechanical Waves in a Rotating Solid Semiconductor Sphere Using the Improved Green–Naghdi III Model

“…ϑ = θ, and K * ij signify the rates of the thermal conductivity. The equation of balance energy may be expressed as [39,40]…”

“…Three integral parameters are dependent on s: A i , (i = 1, 2, 3) are assumed. Moreover, A i is related to two different variables, L i and M i , by plugging in Equation (46) into Equations ( 35)- (40) to get…”