Abstract This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in context dual-phase-lag heat conduction. Existence, uniqueness, and exponential decay solutions are proved. Polynomial stability also obtained case that relaxation parameters satisfy certain equality. Our arguments base...

Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason stra...

The hot neutron star (NS) is investigated for the …rst time in the generalized thermo-statistics so as to take into account the breaking of the standard BoltzmannGibbs thermo-statistics under the long-ranged gravitational potential. It is found that at sub-saturation density in hot NS matter the gravitation leads to a sti¤er equation of state than the standard thermo-statistics. The hot NSs in ...

This work deals with the three-dimensional magneto-thermo-elastic problem of a functionally graded truncated conical shell under non-uniform internal pressure and subjected to magnetic and thermal fields. The material properties are assumed to obey the power law form that depends on the thickness coordinate of the shell. The formulation of the problem begins with the derivation of fundamental r...

The proto-neutron star (PNS) is investigated for the …rst time in the generalized thermo-statistics. The subextensive entropy for the power-law index q > 1 leads to much lower temperature in a core of PNS than the Clausius extensive entropy. Consequently, we can see a clear di¤erence between the mass-radius relation of PNS in the standard (q = 1:0) and generalized (q = 1:3) thermo-statistics. T...

In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to ob...