Response of thermoelastic microbeam with double porosity structure due to pulsed laser heating

• Autorzy: Kumar Rajneesh , Vohra Richa

Identyfikatory

DOI

10.2478/mme-2019-0011

• Języki publikacji: EN

Abstrakty

EN

The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord-Shulman theory of thermoelasticity with one relaxation time. Laplace transform technique has been applied to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field, and temperature distribution. The resulting quantities are recovered in the physical domain by a numerical inversion technique. Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter. Some particular cases are also deduced.

Słowa kluczowe

EN

double porosity; thermoelasticity; Lord-Shulman theory; laser pulse; microbeam

PL

podwójna porowatość; termosprężystość; teoria Lorda-Shulmana; impuls laserowy; mikrowiązka

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2019
• Tom: Vol. 23, nr 1
• Strony: 76--85
• Opis fizyczny: Bibliogr. 25 poz., 1 rys., wykr.

Twórcy

autor

Kumar Rajneesh

• Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India

autor

Vohra Richa

• Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh, India

Bibliografia

• [1] Biot, M.A.: General theory of three-dimensional consolidation, Journal of Applied Physics, 12, 155-164, 1941.
• [2] Barenblatt, G.I ., Zheltov, I.P., Kochina, I.N.: Basic concept in the theory of seepage of homogeneous liquids in fissured rocks (strata), Journal of Applied Mathematics and Mechanics, 24, 1286-1303, 1960.
• [3] Aifantis, E.C.: Introducing a multiporous medium, Developments in Mechanics, 8, 209-211, 1977.
• [4] Aifantis, E.C.: On the response of fissured rock, Developments in Mechanics, 10, 249-253, 1979.
• [5] Aifantis, E.C.: On the problem of diffusion in solids, Acta Mechanica, 37, 265-296, 1980.
• [6] Wilson, R.K., Aifantis, E.C.: On the theory of consolidation with double porosity, International Journal of Engineering Science, 20(9), 1009-1035, 1984.
• [7] Khalili, N.: Coupling effects in double porosity media with deformable matrix, Geophysics Research Letters, 30(22), 2153, DOI 10.1029/2003GL018544, 2003.
• [8] Svanadze, M.: Plane waves and boundary value problems in the theory of elasticity for solids with double porosity, Acta Applicandae Mathematicae, 122, 461-470, 2012.
• [9] Scarpetta, E., Svanadze, M.: Uniqueness theorems in the quasistatic theory of thermo elasticity for solidswith double porosity, Journal of Elasticity, 120, 67-86, 2015.
• [10] Cowin, S.C., Nunziato, J.W.: Linear elastic materials with voids, Journal of Elasticity, 13, 125-147, 1983.
• [11] Iesan, D., Quintanilla, R.: On a theory of thermoelasticmaterials with a double porosity structure, Journal of Thermal Stresses, 37, 1017-1036, 2014.
• [12] Kumar, R., Vohra, R., Gorla, G.: State space approach to boundary value problem for thermoelasticmaterialwith double porosity, Applied Mathematics and Computation, 271, 1038-1052, 2015.
• [13] Manolis, G.D., Beskos, E.: Thermally induced vibrations of beam structures, Computer Methods in Applied Mechanics and Engineering, 21, 337-355, 1980.
• [14] Al-Huniti, N.S., Al-Nimr, M.A. and Naij, M.: Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model, Journal of Sound and Vibration, 242, 629- 640, 2001.
• [15] Kidawa, J.: Application of the Green functions to the problem of the thermally induced vibration of a beam, Journal of Sound and Vibration, 262, 865-876, 2003.
• [16] Fang, D.N., Sun, Y.X., Soh, A.K.: Analysis of frequency spectrum of laser-induced vibration of microbeam resonators, Chinese Physics Letters, 23, 1554-1557, 2006.
• [17] Soh, A.K., Sun, Y.X., Fang, D.N.: Vibration of microscale beam induced by laser pulse, Journal of Sound and Vibration, 311, 243- 253, 2008.
• [18] Sun, Y.X., Fang, D.N., Saka, M., Soh, A.K.: Laser induced vibrations of microbeams under different boundary conditions, International Journal of Solids and Structures, 45, 1993-2013, 2008.
• [19] Othman, M.I.A., Zidan, M.E.M., Hilal, M.I.M.: The effect of initial stress on thermoelastic rotating medium with voids due to laser pulse heating with energy dissipation, Journal of Thermal Stresses, 38(8), 835-853, 2015.
• [20] Kumar, R.: Response of thermoelastic beam due to thermal source in modified couple stress theory, Computational Methods in Science and Technology, 22(2), 95-101, 2016.
• [21] Kaghazian, A., Hajnayeb, A., Foruzande, H.: Free vibration analysis of a piezoelectric nanobeamusing nonlocal elasticity theory, Structural Engineering and Mechanics, 61(5), 617-624, 2017.
• [22] Zenkour, A.M.: Thermoelastic response of a microbeam embedded in visco-Pasternak’s mediumbased on GN-III model, Journal of Thermal Stresses, 40(2), 198-210, 2017.
• [23] Lord, H., Shulman, Y.: A generalized dynamical theory of thermoelasticity, Journal of Mechanics and Physics of Solids, 15, 299-309, 1967.
• [24] Honig, G., Hirdes, U.: A method for the numerical inversion of the Laplace transforms, Journal of Computational and Applied Mathematics, 10, 113-132, 1984.
• [25] Tzou, D.: Macro-to-Micro Heat transfer, Taylor & Francis, Washington DC, 1996.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).