Steel and Composite Structures

  • 제38권2호
  • /
  • Pages.141-150
  • /
  • 2021
  • /
  • 1229-9367(pISSN)
  • /
  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Stoneley wave propagation in nonlocal isotropic magneto-thermoelastic solid with multi-dual-phase lag heat transfer

  • Lata, Parveen (Department of Basic and applied Sciences, Punjabi University Patiala) ;
  • Singh, Sukhveer (Punjabi University APS Neighbourhood Campus)
  • 투고 : 2019.11.28
  • 심사 : 2021.01.05
  • 발행 : 2021.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

In the present paper we have investigated the Stoneley wave propagation at the interface of two dissimilar homogeneous nonlocal magneto-thermoelastic media under the effect of hall current applied to multi-dual-phase lag heat transfer. The secular equations of Stoneley waves have been derived by using appropriate boundary conditions. The wave characteristics such as attenuation coefficients, temperature distribution and phase velocity are computed and have been depicted graphically. Effect of nonlocal parameter and hall effect are studied on the attenuation coefficient, phase velocity, temperature distribution change, stress component and displacement component. Also, some particular cases have been discussed from the present study.

키워드

참고문헌

  1. Abbas, I. and Marin, M. (2018), "Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse", Iranian J. Sci. Technol. T. Mech. Eng., 42(1), 57-71. https://doi.org/10.1007/s40997-017-0077-1.
  2. Abbas, I. and Zenkour, A. (2014), "Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating", J. Comput. Theor. Nanosci., 11(3), 642-645. https://doi.org/10.1166/jctn.2014.3407
  3. Abbas, I. (2014), "Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties", Comput. Math. Appl., 68(12), 2036-2056. https://doi.org/10.1016/j.camwa.2014.09.016
  4. Abbas, I., El-Amin, M. and Salama, A. (2009), "Effect of thermal dispersion on free convection in a fluid saturated porous medium", Int. J. Heat Fluid Fl., 30(2), 229-236. https://doi.org/10.1016/j.ijheatfluidflow.2009.01.004
  5. Abbas, I.A., Abo-El-Nour, N. and Othman, M.I., (2011), "Generalized magneto-thermoelasticity in a fiber-reinforced anisotropic half-space", Int. J. Thermophys., 32(5), 1071-1085. https://doi.org/10.1007/s10765-011-0957-3.
  6. Abouelregal, A.E. (2019), "Rotating magneto-thermoelastic rod with finite length due to moving heat sources via Eringen's nonlocal model", J. Comput. Appl. Mech., 50(1), 118-126, https:/doi.org/10.22059/jcamech.2019.275893.360.
  7. Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory", Comput. Concrete, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
  8. Allam, O., Draiche, K., Bousahla, A. A., Bourada, F., Tounsi, A., Benrahou, K.H., Mahmoud, S.R., Adda Bedia, E.A. and Tounsi, A. (2020), "A generalized 4-unknown refined theory for bending and free vibration analysis of laminated composite and sandwich plates and shells", Comput. Concrete, 26(2), 185-201. https://doi.org/10.12989/cac.2020.26.2.185.
  9. Alzahrani, F.S. and Abbas, I. A. (2016), "The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory", Steel Compos. Struct., 22(2), 369-386. https://doi.org/10.12989/scs.2016.22.2.369.
  10. Asghar, S., Naeem, M.N., Hussain, M., Taj, M. and Tounsi, A. (2020), "Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis", Comput. Concrete, 25(2), 133-144. https://doi.org/10.12989/cac.2020.25.2.133.
  11. Balubaid, M., Tounsi, A., Dakhel, B. and Mahmoud, S.R. (2019), "Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory", Comput. Concrete, 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579.
  12. Bekkaye, T.H.L., Fahsi, B., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A. and Al-Zahrani, M.M. (2020), "Porosity-dependent mechanical behaviors of FG plate using refined trigonometric shear deformation theory", Comput. Concrete, 26(5), 439-450. https://doi.org/10.12989/cac.2020.26.5.439.
  13. Belmahi, S., Zidour, M. and Meradjah, M. (2019), "Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory" Adv. Aircraft Spacecraft Sci., 6(1), 1-18. https://doi.org/10.12989/aas.2019.6.1.001.
  14. Benahmed, A., Fahsi, B., Benzair, A., Zidour, M., Bourada, F. and Tounsi, A. (2019), "Critical buckling of functionally graded nanoscale beam with porosities using nonlocal higher-order shear deformation", Struct. Eng. Mech., 69(4), 457-466. https://doi.org/10.12989/sem.2019.69.4.457.
  15. Bendenia, N., Zidour, M., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Adda Bedia, E.A., Mahmoud, S.R. and Tounsi. A. (2020), "Deflections, stresses and free vibration studies of FG-CNT reinforced sandwich plates resting on Pasternak elastic foundation", Comput. Concrete, 26(3), 213-226. https://doi.org/10.12989/cac.2020.26.3.213.
  16. Dhaliwal R.S. and Singh A. (1980), "Dynamic Coupled Thermoelasticity", Hindustan Publisher Corporation, New Delhi, India.
  17. Ebrahimi, F and Shafiei, N. (2016), "Application of eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams", Smart Struct. Syst., 17(5), 837-857. https://doi.org/10.12989/sss.2016.17.5.837.
  18. Edelen, D.G.B, Green, A.E. and Laws, N. (1971), "Nonlocal continuum mechanics", Archive for Rational Mechanics and Analysis, 43, 36-44. https://doi.org/10.1007/BF00251543.
  19. Edelen, D.G.B. and Laws, N. (1971), "On the thermodynamics of systems with nonlocality", Archive for Rational Mechanics and Analysis, 43, 24-35. https://doi.org/10.1007/BF00251543.
  20. Eringen, A.C. (2002), Nonlocal Continum Field Theories, Springer, New York, USA.
  21. Ezzat, M. and El-Barrry, A.A. (2017b), "Fractional magneto-thermoelastic materials with phase-lag Green-Naghdi theories", Steel Compos. Struct., 24(3), 297-307. https://doi.org/10.12989/scs.2017.24.3.297.
  22. Ezzat, M.A. and El-Bary, A.A. (2017a), "A functionally graded magneto-thermoelastic half space with memory-dependent derivatives heat transfer", Steel Compos. Struct., 25(2), 177-186. https://doi.org/10.12989/scs.2017.25.2.177.
  23. Hendy, M.H., El-Attar, S.I. and Ezzat, M.A. (2020), "Two temperature fractional Green-Naghdi of type III in magnetothermo-viscoelasticity theory subjected to a moving heat source", Indian J. Phys., https://doi.org/10.1007/s12648-020-01719-1.
  24. Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., 7(6), 431-442. https://doi.org/10.12989/anr.2019.7.6.431.
  25. Jahangir, A., Tanvir, F. and Zenkour, A. (2020), "Reflection of photothermoelastic waves in a semiconductor material with different relaxations", Indian J. Phys., https://doi.org/10.1007/s12648-020-01690-x.
  26. Karami, B., Janghorban, M. and Tounsi, A. (2018), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., 27(2), 201-216. https://doi.org/10.12989/scs.2018.27.2.201.
  27. Kaur, I and Lata P (2020), "Stoneley wave propagation in transversely isotropic thermoelastic medium with two temperature and rotation", Int. J. Geomath., 11(4). https://doi.org/10.1007/s13137-020-0140-8.
  28. Kumar, R., Sharma, N. and Lata, P. (2016), "Thermomechanical interactions in transversely isotropic magnetothermoelastic medium with vacuum and with and without energy dissipiation with combined effects of rotation, vacuum and two temperatures", Appl. Math. Model., 40, 6560-6575. https://doi.org/10.1016/j.apm.2016.01.061.
  29. Kumar, R., Sharma, N., Lata, P. and Abo-Dahab, S.M. (2017), "Mathematical modelling of Stoneley waves in a transversely isotropic thermoelastic media", Appl. Appl. Math., 12(1), 319-336.
  30. Lata, P. and Singh, S. (2019), "Effect of nonlocal parameter on nonlocal thermoelastic solid due to inclined load", Steel Compos. Struct., 33(1), 123-131. https://doi.org/10.12989/scs.2019.33.1.123.
  31. Lata, P. and Singh, S. (2020a), "Deformation in a nonlocal magneto-thermoelastic solid with hall current due to normal force", Geomech. Eng., 22(2), 109-117. https://doi.org/10.12989/gae.2020.22.2.109.
  32. Lata, P. and Singh, S. (2020c), "Thermomechanical interactions in a nonlocal thermoelastic model with two temperature and memory dependent derivatives", Coupled Syst. Mech., 9(5), 397-410. https://doi.org/10.12989/CSM.2020.9.5.397.
  33. Lata, P. and Singh, S. (2020d), "Effects of nonlocality and two temperature in a nonlocal thermoelastic solid due to ramp type heat source", Arab J. Basic Appl. Sci., 27(1), 358-364. https://doi.org/10.1080/25765299.2020.1825157.
  34. Lata, P. and Singh, S. (2020b), "Plane wave propagation in a nonlocal magneto-thermoelastic solid with two temperature and Hall current", Waves in Random and Complex Media. https://doi.org/10.1080/17455030.2020.1838667.
  35. Marin, M. and Nicaise, S. (2016), "Existence and stability results for thermoelastic dipolar bodies with double porosity", Continuum Mech. Thermodynam., 28(6), 1645-1657. https://doi.org/10.1007/s00161-016-0503-4
  36. Marin, M., Craciun, E.M. and Pop, N. (2016), "Considerations on mixed initial-boundary value problems for micropolar porous bodies", Dynamic Systems & Applications, 25 (1-2), 175-196.
  37. Marin, M., Ellahi, R. and Chirila, A. (2017), "On solutions of saint-venant's problem for elastic dipolar bodies with voids", Carpathian J. Mathematics, 33(2), 219-232. www.jstor.org/stable/90017791. https://doi.org/10.37193/CJM.2017.02.09
  38. Marin, M. and Florea, O. (2014), "On temporal behaviour of solutions in thermoelasticity of porous micropolar bodies", Analele Universitatii "Ovidius" Constanta - Seria Matematica, 22(1), 169-188. https://doi.org/10.2478/auom-2014-0014.
  39. Marin, M., Vlase, S., Ellahi, R. and Bhatti, M.M. (2019), "On the partition of energies for the backward in time problem of thermoelastic materials with a dipolar structure", Symmetry, 11(7), 1-16. https://doi.org/10.3390/sym11070863.
  40. Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S. R. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., 36(3), 355-367. https://doi.org/10.12989/SCS.2020.36.3.355.
  41. Mohamed, R.A., Abbas, I. and Abo-Dahab, S.M. (2009), "Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction", Commun. Nonlinear Sci. Numer. Simul., 14(4), 1385-1395. https://doi.org/10.1016/j.cnsns.2008.04.006.
  42. Mokhtar, Y., Heireche, H., Bousahla, A.A., Houari, M.S.A, Tounsi, A. and Mahmoud S.R. (2018), "A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory", Smart Struct. Syst., 21(4), 397-405. https://doi.org/10.12989/sss.2018.21.4.397.
  43. Othman, M.I. and Abbas, I.A. (2011), "Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method", Meccanica, 46(2), 413-421. https://doi.org/10.1007/s11012-010-9322-z.
  44. Rabhi, M., Benrahou, K.H., Kaci, A., Houari, M.S.A., Bourada, F., Bousahla, A.A., Tounsi, A.J., Adda Bedia, E.A., Mahmoud, S.R. and Tounsi, A. (2020), "A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Geomech. Eng., 22(2), 119-132. https://doi.org/10.12989/gae.2020.22.2.119.
  45. Saeed, T., Abbas, I. and Marin, M. (2020), "A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method", Symmetry, 12(3), 488. https://doi.org/10.3390/sym12030488
  46. Soleimani, A., Dastani, K., Hadi, A. and Naei, M.H. (2019), "Effect of out of plane defects on the postbuckling behaviour of graphene sheets based on nonlocal elasticity theory", Steel Compos. Struct., 30(6), 517-534. https://doi.org/10.12989/scs.2019.30.6.517.
  47. Zenkour, A.M. (2020), "Magneto-thermal shock for a fiberreinforced anisotropic half-space studied with a refined multidual-phase-lag model", J. Phys. Chem. Solids, 137, 109213. https://doi.org/10.1016/j.jpcs.2019.109213.
  48. Zine, A., Bousahla, A.A., Bourada, F., Benrahou, K.H., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R. and Tounsi, A. (2020), "Bending analysis of functionally graded porous plates via a refined shear deformation theory", Comput. Concrete, 26(1), 63-74. https://doi.org/10.12989/cac.2020.26.1.063.

피인용 문헌

  1. A dual-phase-lag theory of thermal wave in a porothermoelastic nanoscale material by FEM vol.79, pp.1, 2021, https://doi.org/10.12989/sem.2021.79.1.001