The model of generalized thermoelasticity, with the dual-phase-lag theory (DPL), is applied to study the influence of gravity on a piezo-thermoelastic diffusive medium. Normal mode analysis is used to obtain the exact expressions for different physical quantities. The derived expressions are computed numerically and the results are presented in graphical form. Comparisons are made with the results predicted by the Lord-Shulman theory (LS) and the DPL model in the presence and absence of gravity. © 2023 World Scientific Publishing Europe Ltd.

The model of generalized thermoelasticity, dual-phase-lag model (DPL), is applied to study the influence of gravity on a piezo-thermoelastic diffusive medium. Normal mode analysis is used to obtain the expressions for different physical quantities. The derived expressions are computed numerically and the results are presented in graphical form. Comparisons are made with the results predicted by Lord–Shulman theory (L–S) and DPL model in the presence and absence of gravity. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

An efficient numerical approach based on weighted-average finite differences is used to solve the Newtonian plane Couette flow with wall slip, obeying a dynamic slip law that generalizes the Navier slip law with the inclusion of a relaxation term. Slip is exhibited only along the fixed lower plate, and the motion is triggered by the motion of the upper plate. Three different cases are considered for the motion of the moving plate, i.e., constant speed, oscillating speed, and a single-period sinusoidal speed. The velocity and the volumetric flow rate are calculated in all cases and comparisons

Abstract: In the context of the three-phase hysteresis model (3PHL), a system of equations is established for a generalized thermoelastic medium under the influence of a magnetic field and an internal heat source. The problem is discussed using Eringen’s nonlocal elastic model. The exact expression of the physical quantity is obtained by normal mode analysis and illustrated graphically by comparison and discussion. All calculation results obtained are graphically presented and explained. This paper investigates a specific type of material called a generalized magneto-thermoelastic medium. This

A 2D first order linear system of partial differential equations of plane strain thermoelasticity within the frame of extended thermodynamics is presented and analyzed. The system is composed of the equations of classical thermoelasticity in which displacements are replaced with velocities, complemented with Cattaneo evolution equation for heat flux. For a particular choice of the characteristic quantities and for positive thermal conductivity, it is shown that this system may be cast in a form that is symmetric t-hyperbolic without further recurrence to entropy principle. While hyperbolicity

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The study of nonlinear systems and chaos is of great importance to science and engineering mainly because real systems are inherently nonlinear and linearization is only valid near the operating point. The interest in chaos was increased when Lorenz accidentally discovered the sensitivity to initial condition during his simulation work on weather prediction. When a nonlinear system is exhibiting deterministic chaos, it is very difficult to predict its response under external disturbances. This behavior is a double-edged weapon. From a control and synchronization point of view, this proposes a

This paper investigates two different blind watermarking systems in the frequency domain with the development of a Pseudo Random Number Generator (PRNG), based on a fractional-order chaotic system, for watermark encryption. The methodology is based on converting the cover image to the YCbCr color domain and applying two different techniques of frequency transforms, Discrete Cosine Transform (DCT) and Discrete Wavelet Transform (DWT), to the Y channel. Then, the encrypted watermark is embedded in the middle-frequency band and HH band coefficients for the DCT and DWT, respectively. For more

The precise identification of electrical model parameters of Li-Ion batteries is essential for efficient usage and better prediction of the battery performance. In this work, the model identification performance of two metaheuristic optimization algorithms is compared. The algorithms in comparison are the Marine Predator Algorithm (MPA) and the Partial Reinforcement Optimizer (PRO) to find the optimal model parameter values. Three fractional-order (FO) electrical equivalent circuit models (ECMs) of Li-Ion batteries with different levels of complexity are used to fit the electrochemical