Deformation in micropolar cubic crystal due to various sources

Kumar, Rajneesh; Ailawalia, Praveen

doi:10.1016/j.ijsolstr.2005.01.022

Cited by 11 publications

(10 citation statements)

References 11 publications

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“…Kumar and Rani [18] studied time harmonic sources in a thermally conducting cubic crystal. Recently, Kumar and Ailawalia [19,20] discussed source problems in micropolar cubic crystals. However, no attempt has been made to study source problems in a micropolar thermoelastic medium possessing cubic symmetry.…”

Section: Introductionmentioning

confidence: 99%

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Kumar

Ailawalia

2007

Int J Thermophys

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The present problem is concerned with the study of the deformation of a thermoelastic micropolar solid possessing cubic symmetry under the influence of various sources acting on the plane surface. The analytic expressions of displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the physical domain for the Green and Nagdhi (G-N) theory of thermoelasticity by applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically for a particular material.

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Section: Introductionmentioning

confidence: 99%

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Kumar

Ailawalia

2007

Int J Thermophys

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“…(25) on the boundary conditions (35) and using Eqs. (5)-(8), (14), (20) and (30)-(33), we obtain the expressions for displacement components, microrotation, force stress, couple stress and temperature distribution for micropolar thermoelastic solid with cubic symmetry as…”

Section: Mechanical Force On Surface Of Half-spacementioning

confidence: 99%

“…Kumar and Rani [18] studied time harmonic sources in a thermally conducting cubic crystal. Recently Kumar and Ailawalia [19,20] discussed some source problems in micropolar medium with cubic symmetry.…”

Section: Introductionmentioning

confidence: 99%

Deformation due to time harmonic sources in micropolar thermoelastic medium possessing cubic symmetry with two relaxation times

Kumar

Ailawalia

2006

Appl Math Mech

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The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources is investigated. Fourier transform is employed and the transform is inverted by using a numerical inversion technique. The components of displacement, stress, microrotation and temperature distribution in the physical domain are obtained numerically. The results of normal displacement, normal force stress, tangential couple stress and temperature distribution are compared for micropolar cubic crystal and micropolar isotropic solid. The numerical results are illustrated graphically for a particular material. Some special cases are also deduced.

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“…Eringen (1999) presented the microcontinuum field theory. Kumar and Ailawalia (2005) studied the response of a micropolar cubic crystal due to various sources. Kumar and Gupta (2010) studied propagation of waves in a transversely isotropic micropolar generalized thermoelastic half-space.…”

Section: Introductionmentioning

confidence: 99%

Effect of initial stress and the gravity field on micropolar thermoelastic solid with microtemperatures

Othman

Tantawi

Hilal

2016

jtam

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The purpose of the present article is the study of the effect of the gravity field on an initially stressed micropolar thermoelastic medium with microtemperatures. The analytical method used to obtain the formula of the physical quantities is the normal mode analysis. The comparisons are established graphically in the presence and the absence of gravity, initial stress and micropolar thermoelasticity. The main conclusions state that the gravity, initial stress and the micropolar thermoelasticity are effective physical operators on the variation of the physical quantities. The microtemperatures are very useful theory in the field of geophysics and earthquake engineering.

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Deformation in micropolar cubic crystal due to various sources

Cited by 11 publications

References 11 publications

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Mechanical/Thermal Sources in a Micropolar Thermoelastic Medium Possessing Cubic Symmetry without Energy Dissipation

Deformation due to time harmonic sources in micropolar thermoelastic medium possessing cubic symmetry with two relaxation times

Effect of initial stress and the gravity field on micropolar thermoelastic solid with microtemperatures

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