On the decay of exponential type for the solutions in a dipolar elastic body

Marín, Marín; Ellahi, R.; Vlase, Sorin; Bhatti, Muhammad Mubashir

doi:10.1080/16583655.2020.1751963

Cited by 87 publications

(19 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonlocal parameter nondependence of temperature has been observed in many investigations and previous studies [56]. Other aspects for media with microstructure can be found in [57][58][59][60][61]. It can be concluded further that the steady state of the mechanical waves within the beam depends on specific values of the nonlocal index 𝜉.…”

Section: Numerical Results and Discussionmentioning

confidence: 91%

Analysis of the magneto-thermoelastic vibrations of rotating Euler- Bernoulli nanobeams using the nonlocal elasticity model

Abouelregal

Marín

Askar

2023

Preprint

Self Cite

View full text Add to dashboard Cite

This paper introduces size-dependent modeling and investigation of the transverse vibrational behavior of rotating thermoelastic nanobeams by means of nonlocal elasticity theory. In the formulation, a model of thermal conductivity with two-phase delays (DPL) was utilized. By incorporating the interactions between phonons and electrons, this model took into account microstructural influences. Also, we have employed the state-space approach and Laplace transform approach to solve the governing equations, which were developed in the context of the nonlocal Eringen model. The nanobeam material is subjected to a changeable temperature field produced by the graphene tape attached to the nanobeam and connected to an electrical source. In addition, the nanobeam material is fully encompassed by an axially applied magnetic field. It has been revealed how coefficients such as the rotational angular velocity of the nanobeam, nonlocal coefficient, voltage, electrical resistance, and applied magnetic field influence its behavior.

show abstract

Section: Numerical Results and Discussionmentioning

confidence: 91%

Analysis of the magneto-thermoelastic vibrations of rotating Euler- Bernoulli nanobeams using the nonlocal elasticity model

Abouelregal

Marín

Askar

2023

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Some of the work that has been interested in discussing the flow rate through elastic nature can be found in the refs. [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application

Abdelsalam

Zaher

2021

Mathematics

View full text Add to dashboard Cite

The present work presents a mathematical investigation of a Rabinowitsch suspension fluid through elastic walls with heat transfer under the effect of electroosmotic forces (EOFs). The governing equations contain empirical stress-strain equations of the Rabinowitsch fluid model and equations of fluid motion along with heat transfer. It is of interest in this work to study the effects of EOFs, which are rigid spherical particles that are suspended in the Rabinowitsch fluid, the Grashof parameter, heat source, and elasticity on the shear stress of the Rabinowitsch fluid model and flow quantities. The solutions are achieved by taking long wavelength approximation with the creeping flow system. A comparison is set between the effect of pseudoplasticity and dilatation on the behaviour of shear stress, axial velocity, and pressure rise. Physical behaviours have been graphically discussed. It was found that the Rabinowitsch and electroosmotic parameters enhance the shear stress while they reduce the pressure gradient. A biomedical application to the problem is presented. The present analysis is particularly important in biomedicine and physiology.

show abstract

“…Finally, the literature is wealth on the modified gravitational potentials and their effects, and it is worth noting to highlight some recent as well as important works [15][16][17][18][19][20][21][22]. On the other hand, the continued fractions can be hopefully used in the field theory, quantum mechanics [23] and metric theories [24].…”

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of the perturbed artificial satellite problem using oblate continued fraction potential

El-Bar

2021

Journal of Taibah University for Science

View full text Add to dashboard Cite

In this research article, a new idea concerning the application of concept of the continued fractions to the expansion of the geopotential is treated. The perturbed motion of the satellite in the oblate gravitational field of the Earth using a potential of a continued fractions procedure is studied. To compare with the usual perturbation theory, the continued fraction series is truncated beyond the third term. The first oblateness term of the potential is retained. The equations of motion are constructed using the Lagrange planetary equations. The integrals and averages required for solving the problem is outlined as well as the different cases are highlighted. The perturbations in all orbital elements due to considered model of continued fractions are evaluated. The new findings of the manuscript contrast with classical oblate potential field, the semi-major axis, eccentricity, and inclination, nonzero averaged terms in perturbations are obtained. Extra nonzero averaged perturbing terms in the argument of perigee and ascending node are revealed in addition to the classical perturbations.

show abstract

On the decay of exponential type for the solutions in a dipolar elastic body

Cited by 87 publications

References 35 publications

Analysis of the magneto-thermoelastic vibrations of rotating Euler- Bernoulli nanobeams using the nonlocal elasticity model

Analysis of the magneto-thermoelastic vibrations of rotating Euler- Bernoulli nanobeams using the nonlocal elasticity model

Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application

Theoretical investigation of the perturbed artificial satellite problem using oblate continued fraction potential

Contact Info

Product

Resources

About