Effect of inertial coefficients in the propagation of plane waves in micropolar porous materials

Lianngenga, R.

doi:10.1142/s2047684117500075

Cited by 8 publications

(5 citation statements)

References 13 publications

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“…1}. Figures 7,8,9,10,11,12,13 show the solution on the plane z 0.15 as function of r for a fixed α 0.5 and different values of t {0.5, 1.0}.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…As expected, the solution of any of the functions expands with the progression of the wave to fill more space. Figures 7,8,9,10,11,12,13 show the solutions in an intermediate plane inside the medium as functions of r. These Figures show that there are additional shear waves that spread the solution in r-direction.…”

Section: Discussionmentioning

confidence: 95%

“…This theory predicts a finite speed of propagation of the thermal and mechanical effects. Some contributions to this topic can be found in [9][10][11][12]. Many existing models of physical processes have been modified by fractional calculus.…”

Section: Introductionmentioning

confidence: 99%

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Fractional order model of micropolar thermoelasticity and 2D half-space problem

Sherief

Hussein

2022

Acta Mech

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In this manuscript, the generalized micropolar theory of thermoelasticity is modified using fractional calculus. The revised equations are used to solve a problem for a half-space whose boundary is rigidly fixed and subjected to an axisymmetric thermal shock. Laplace and Hankel transform techniques are used. The analytical solution in the transform domain is obtained by using a new direct approach without the customary use of potential functions. By using a numerical method based on the Fourier expansion technique, the inverse of the double transform can be obtained. The numerical results for displacement, microrotation, stress, micro-stress, and temperature are obtained and represented graphically. Comparisons are made with the results of the older theory.

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“…1}. Figures 7,8,9,10,11,12,13 show the solution on the plane z 0.15 as function of r for a fixed α 0.5 and different values of t {0.5, 1.0}.…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 95%

See 1 more Smart Citation

Fractional order model of micropolar thermoelasticity and 2D half-space problem

Sherief

Hussein

2022

Acta Mech

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“…14 Chirita and Ghiba presented inhomogeneous plane wave solution within the context of linear theory of poroelastic materials. 15 The remarkable waves and vibrations are found in Achenbach, 16 Straughan, 17 Lianngenga, 18,19 Lianngenga et al, 20,21 and Ciarletta and Iesan. 22 In this paper we incorporate the idea of Chirila 6 into the theory of Cowin-Nunziato.…”

Section: Introductionmentioning

confidence: 97%

Effect of mechanical relaxation time in elastic materials with voids

Lianngenga¹,

Thangmawia²

2019

Sci Vis

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The effect of mechanical relaxation time in the elastic wave propagation in elastic materials with voids is investigated. The phase speed and the attenuation coefficients are obtained and observed the effect of mechanical relaxation time. The phenomenon of reflection of elastic waves due to the incident waves from a plane boundary of elastic materials with voids is studied. The amplitude and energy ratios of the reflected waves are obtained. Numerically these ratios, phase speeds and the corresponding attenuation coefficients are computed for a particular model and the effect of mechanical relaxation time is discussed.

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“…Sherief and colleagues [33] formulated the theory of generalized micropolar thermoelasticity, which predicts a finite velocity of propagation for both thermal and mechanical impacts. Various contributions to this field of research are documented in the cited references [34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Sherief,

Abbas,

Zaky

et al. 2023

PLoS ONE

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In this manuscript, the dynamic response of a long cylinder subjected to an asymmetric thermal shock is investigated within the framework of generalized micropolar thermoelasticity. The displacement and micro-rotation are assumed to vanish at the surface. Laplace transformation techniques are used to solve the problem. The solution is obtained in the transformed field using an innovative direct approach. Furthermore, we obtain the inverse transformations using a numerical method based on Fourier expansion. The obtained results are carefully presented through graphical representations and discussed extensively across different relaxation time values. It is evident that the relaxation time parameter significantly influences all the distributions. The displacement distributions are always continuous, whereas all other functions, including temperature variation, stress distribution, and micro-rotation, exhibit discontinuity at the wave front. The results obtained hold significant importance in various technological applications and in the manufacturing of mechanical components.

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Effect of inertial coefficients in the propagation of plane waves in micropolar porous materials

Cited by 8 publications

References 13 publications

Fractional order model of micropolar thermoelasticity and 2D half-space problem

Fractional order model of micropolar thermoelasticity and 2D half-space problem

Effect of mechanical relaxation time in elastic materials with voids

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

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