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This study investigates the unsteady flow of Al2O3‐Cu/water hybrid nanofluid on a stagnation point of a permeable rigid surface. The similarity equations are obtained using similarity variables and then solved using the bvp4c solver. The outcomes show that dual solutions exist for the negative unsteadiness and some mass flux parameters. Besides, the heat transfer rate is intensified with the hybrid...
This article deals with the entropy generation and irreversibility process under the effects of partial slip on magnetic dusty liquid induced by peristaltic wave through a porous channel. The Ree‐Eyring fluid model has been used for a governing flow. Mathematical modelling is based on Ohm's law, continuity equation, Darcy law and momentum equation. Analytical solutions are presented for fluid and...
This present survey deals with a novel mathematical model of generalized thermoelasticity which investigates the transient phenomena in a two‐dimensional problem for a transversely isotropic thick plate having a heat source. The upper surface of the plate is stress‐free with prescribed surface temperature while the lower surface of the plate rests on a rigid foundation and is thermally insulated....
In this paper, analytical bending solution of a rectangular thin plate with different boundary conditions was obtained by using the two‐dimensional generalized finite integral transform method. During the solution procedure, the vibrating beam functions satisfying different boundary conditions of the plate are taken as integral kernels to form the integral transform pairs. This two‐dimensional integral...
In this work, a three‐dimensional model of the generalized thermoelasticity with fractional order stain and nonlocal effect is established. Nonlocal effect is used to depict size‐dependence feature and fractional order strain is considered to describe memory‐dependence properties. The Laplace and double Fourier transform techniques are applied to the three‐dimensional half‐space model subjected to...
The goal of the paper is to present the study of the effect of an internal heat source and the dependence of temperature on a micropolar voided medium that is thermoelastic in the theory of the three‐phase‐lag model of thermoelasticity. The governing equations are formulated and then the exact displacement component expressions, temperature field, microrotation components, the components of stress...
In this paper we are concerned with a one‐dimensional linear theory of inhomogeneous porous‐thermo‐elastic materials with microtemperatures. The main results contain the global well‐posedness and stability of the system. By using Lumer–Philips theorem, we prove that the system is well posed. By using energy method, we establish exponential decay rate of the system.
A cornerstone of computational solid mechanics in the context of digital transformation are databases for microstructures obtained from advanced tomography techniques. Uniform discretizations of pixelized images in 2D are the raw‐data point of departure for simulation analyses. This paper proposes the concept of a unified error analysis for image‐based microstructure representations in uniform resolution...
The article deals with the collinear Griffith cracks under the time‐harmonic waves, situated in an orthotropic strip sandwiched between two identical half‐planes. The outer cracks are considered to be situated on either sides of the central crack. The mathematical model is solved by applying the Fourier transform and then the unknown functions have been determined using Schmidt method. The approximate...
In this contribution an original concept of stochastic stability (P‐stability), formulated here to represent realistic stochastic nature of materials, is employed for stability analysis of material performance characteristics. Stochasticity in materials can be related, for example, to manufacturing processes, potential treatment of material, or properties of raw materials. On the other hand, performance...
In this paper, we apply the energy variational principle to arrive at the differential equation of motion and all appropriate boundary conditions for strain gradient Kirchhoff micro‐plates. The resulting sixth‐order boundary value problem of free vibration is solved by a thirty‐six‐DOF four‐node differential quadrature plate finite element. The C2‐continuity condition of the deflection is guaranteed...
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