Figure - available from: Zeitschrift für angewandte Mathematik und Physik
This content is subject to copyright. Terms and conditions apply.
Source publication
With the development of micro/nanoscale electromechanical systems and the wide applications of ultrashort pulse lasers, the classical and hyperbolic hygrothermal coupled models fail to predict the micro/nanoscale hygrothermoelastic responses. This paper presents a dual-phase-lag hygrothermal coupled model to analyze the transient responses of an in...
Similar publications
In the present article, we investigate the thermal and elastic behaviour of an infinite thermoelastic material with a cylindrical cavity caused by a time-dependent moving heat source. The cavity surface is assumed to be subjected to a thermal shock. The formulation of the problem is applied for the recently proposed generalized thermoelastic model...
Citations
... To study anomalous diffusion behaviors in the heat and moisture transportation mechanisms in hollow circular cylinders, Zhang et al [10] constructed a hygrothermoelastic structure using fractional theory. Xue et al [11] presented a dual-phase lag hygrothermal theory with a dual-phase lag. Zhang and Li [12] studied the hygrothermoelastic properties of a plate with an edge crack. ...
The objective of this work is to analyze the effects of combined temperature and moisture in a rectangular plate under hygrothermal loading using hygrothermoelastic model. The reduced differential transform method is used to obtain the solution of temperature, moisture and stress. We have demonstrated the efficacy of the reduced differential transform approach to examine several aspects of the Hygrothermoelastic model. The results are illustrated numerically and graphically for porous composite material. From the study, it is observed that temperature shows a negative effect while moisture increases in a positive direction along spatial direction under the assumed initial and boundary conditions. The stresses are affected due to hygrothermal loading.
... As derived by Xue et al. [19], the coupled DPL thermalmoisture diffusion equation in matrix form can be cast as where and are the coupling parameters and the number of dots over a variable denotes the order of differentiation with respect to time. ...
... In the case of a homogeneous bar, the thermal and moisture diffusivities of material-1 and material-2 are specif ied as 2 = 2 = 7.78 × 10 −6 cm 2 /h and D 1 = D 2 = 7.78 × 10 −7 cm 2 /h , respectively. As considered by Xue et al. [19], the phase lag damping parameters for thermal and moisture diffusion are specified as T = 0.02 h and C = 0 , respectively. The phase lag parameters for thermal and moisture inertia are q = 0.02 h and J = 0.01 h . ...
... Their moisture diffusivities are specified as D 1 = 7.78 × 10 −7 cm 2 /h and D 2 = 7.78 × 10 −11 cm 2 /h . As considered by Xue et al. [19], the phase lag damping parameters for thermal and moisture diffusion are specified as T = 0.02 h and C = 0.015 h , respectively. The phase lag parameters for thermal and moisture inertia are q = J = 0.2 h . ...
This study presents a peridynamic (PD) modeling approach for non-Fourier heat conduction and non-Fickian moisture concentration in a finite element framework by considering MATRIX27 elements native to ANSYS. The thermal and moisture fields are coupled in the form of Dual-Phase-Lag (DPL) models to resolve the issue of propagation of thermal wave and mass of moisture with infinite speed. The nonlocal effects arising from thermal inertia, moisture inertia and microstructural interaction are included through the PD form of coupled thermal and moisture field equations. The nonlocal PD theory involves integral equations without smoothness requirement of the field variable. The PD thermal and hygro bonds enable the exchange of thermal energy and moisture concentration between nodes. The efficacy of this approach is established by considering heat conduction in a nanoscale metal film and a plate with an insulated crack, and a bar of homogeneous and nonhomogeneous material subjected to sudden pulse of coupled thermal and moisture conditions.
... • Work by e.g. pressure and volume change (vdu), balanced with the 1-form in coordinates x,y and differentials dx, dy • Fields of moisture [4] and electricity interacting with the 1-form. ...
Models for dynamic capacitors in the WFB from [1] are derived. The analysis is based on observations and experimental results. On the provided AC-power background, an NPN-Sun-Catcher were attached, and here, this is evaluated in terms of one-way elasto-electricity and Photo-Voltaic.
The dynamic response of a hollow cylinder subjected to a hygrothermal coupled shock is studied. The memory-dependent differential is introduced into the heat transfer equation and the diffusion equation, and a memory-dependent differential generalized hygrothermal coupling model is developed. In this article, Laplace transform and inverse transform are used to find the closed-form solutions of various physical quantities. The influence of the hysteresis factor and the kernel function on the distribution of each physical quantity is analyzed and the time history of the hygrothermal coupling is studied. The numerical results show that the larger the ratio of temperature gradient hysteresis factor to heat flux hysteresis factor, the faster the wave speed. Also, the hysteresis factor affects the wave crest. For the time course of hygrothermal, it is once again verified that the hygrothermal wave has a finite propagation speed. At the same time, we can get the conclusion that the wave is dominated by fluctuations in the early stage after the onset of hygrothermal shock. The above findings are of reference value for the structural design and optimization of tubes in a hygrothermal environment.
In order to describe the complex interaction in the heat and moisture transfer process, a coupled time‐fractional hygrothermal theory is developed to describe the anomalous phenomenon of coupled heat and moisture diffusion. The hygrothermoelastic behaviors in a plate with an edge crack are investigated. The surfaces of the plate are both subjected to hygrothermal shocks. The Laplace transform and the finite Fourier transform are applied to seek an analytical solution of temperature change, moisture distribution, and stress response that are expressed in terms of the Mittag‐Leffler function. With this solution, the stress intensity factors at the crack tip are numerically calculated through the weight function method. The coupling effects of the heat and moisture on the stress intensity factors are illustrated graphically for sub‐diffusion, normal diffusion, and super‐diffusion respectively. The results show that the coupling hygrothermal effects are significant and different when compared with the uncoupled model.
