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http://dx.doi.org/10.12989/scs.2019.33.1.123

Effect of nonlocal parameter on nonlocal thermoelastic solid due to inclined load  

Lata, Parveen (Department of Basicand Applied Sciences, Punjabi University)
Singh, Sukhveer (Punjabi University APS Neighbourhood Campus)
Publication Information
Steel and Composite Structures / v.33, no.1, 2019 , pp. 123-131 More about this Journal
Abstract
The present investigation is concerned with two dimensional deformation in a homogeneous nonlocal thermoelastic solid with two temperature. The nonlocal thermoelastic solid is subjected to inclined load. Laplace and Fourier transforms are used to solve the problem. The bounding surface is subjected to concentrated and distributed sources. The analytical expressions of displacement, stress components, temperature change are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of angle of inclination and nonlocal parameter on the components of displacements, stresses and conductive temperature. Some special cases are also deduced from the present investigation.
Keywords
thermoelasticity; nonlocality; nonlocal theory of thermoelasticity; Eringen model of nonlocal theories; two temperature;
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Times Cited By KSCI : 9  (Citation Analysis)
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1 Vasiliev, V.V. and Lurie, S.A. (2016),On correct nonlocal generalized theories of elasticity", Phys. Mesomech., 19(3), 47-59. https://doi.org/10.1134/S102995991603005X
2 Wang, J. and Dhaliwal, R.S. (1993), "On some theorems in the nonlocal theory of micropolar elasticity", Int. J. Solids Struct., 30(10), 1331-1338. https://doi.org/10.1016/0020-7683(93)90215-S   DOI
3 Chen, P.J. and Gurtin, M.E. (1968), "On a theory of heat conduction involving two temperatures", J. Appl. Math. Phys. (ZAMP), 19, 614-627. https://doi.org/10.1007/BF01594969   DOI
4 Chen, P.J., Gurtin, M.E. and Willams, W.O. (1969), "On the thermodynamics of non-simple elastic material with two temperatures", J. Appl. Math. Phys. (ZAMP), 20, 107-112. https://doi.org/10.1007/BF01591120   DOI
5 Dhaliwal, R.S. and Singh, A. (1980), Dynamic Coupled Thermoelasticity, Hindustan Publushing Corporation, Delhi, India.
6 Edelen, D.G.B. and Laws, N. (1971), "On the thermodynamics of systems with nonlocality", Arch. Rational Mech. Anal., 43, 24-35. https://doi.org/10.1007/BF00251543   DOI
7 Eringen, A.C. (2002), "Nonlocal Continum Field Theories", Springer, New York, USA.
8 Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10, 233-248. https://doi.org/10.1016/0020-7225(72)90039-0   DOI
9 Hassan, M., Marin, M., Ellahi, R. and Almari, S.Z. (2018), "Exploration of convective heat transfer and flow characteristics synthesis by Cu-Ag/water hybrid-nanofluids", Heat Transfer Res., 49(18), 1837-1848. https://doi.org/ 10.1615/HeatTransRes.2018025569   DOI
10 Honig, G. and Hirdes, U. (1984), "A method for the numerical inversion of Laplace transform", J. Computat. Appl. Math., 10, 113-132. https://doi.org/10.1016/0377-0427(84)90075-X   DOI
11 Karami, B., Janghorban, M. and Tounsi, A. (2018), "Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles", Steel Compos. Struct., Int. J., 27(2),201-216. https://doi.org/10.12989/scs.2018.27.2.201
12 Kaur, G., Singh, D. and Tomar, S.K. (2018), "Rayleigh type wave in nonlocal elastic solid with voids", Eur. J. Mech., 71, 134-150. https://doi.org/10.1016/j.euromechsol.2018.03.015   DOI
13 Youssef, H.M. and Al-Lehaibi, E.A. (2007), "State space approach of two-temperature generalized thermoelasticity of onedimensional problem", Int. J. Solids Struct., 44, 1550-1562. https://doi.org/10.1016/j.ijsolstr.2006.06.035   DOI
14 Edelen, D.G.B, Green, A.E. and Laws, N. (1971), "Nonlocal continuum mechanics", Arch. Rational Mech. Anal., 43, 36-44.   DOI
15 Youssef, H.M. (2005), "Theory of two-temperature-generalized thermoelasticity", IMAJ. Appl. Math., 71, 383-390. https://doi.org/10.1093/imamat/hxh101   DOI
16 Khetir, H., Bouiadjra, M.B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysus of embedded nanosize FG plates", Struct. Eng. Mech., Int. J., 64(4), 391-402. https://doi.org/10.12989/sem.2017.64.4.391
17 Khurana, A. and Tomar, S.K. (2013), "Reflection of plane longitudinal waves from the stress-free boundary of a nonlocal, microploar solid half-space", J. Mech. Mater. Struct., 8(1), 95-107. http://dx.doi.org/10.2140/jomms.2013.8.95   DOI
18 Khurana, A. and Tomar, S.K. (2017), "Rayleigh type waves in nonlocal microploar solid half-space", Ultrasonics, 73, 162-168. https://doi.org/10.1016/j.ultras.2016.09.005   DOI
19 Kroner, E. (1967), "Elasticity theory of materials with long range cohesive forces", Int. J. Solids Struct., 3, 731-742. https://doi.org/10.1016/0020-7683(67)90049-2   DOI
20 Kumar, R., Sharma, N. and Lata, P. (2016a), "Thermomechanical interactions in the transversely isotropic magnetothermoelastic medium with vacuum and with and without energy dissipation 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   DOI
21 Kumar, R., Sharma, N. and Lata, P. (2016b), "Effects of Hall current in a transversely isotropic magnetothermoelastic two temperature medium with rotation and with and without energy dissipation due to normal force", Struct. Eng. Mech., Int. J., 57(1), 91-103. https://doi.org/10.12989/sem.2016.57.1.091   DOI
22 Lata, P. (2018a), "Reflection and refraction of plane waves in layered nonlocal elastic and anisotropic thermoelastic medium", Struct. Eng. Mech., Int. J., 66(1), 113-124. https://doi.org/10.12989/sem.2018.66.1.113
23 Lata, P. (2018b), "Effect of energy dissipation on plane waves in sandwiched layered thermoelastic medium", Steel Compos. Struct., Int. J., 27(2), 439-451. https://doi.org/10.12989/scs.2018.27.4.439
24 Marin, M. (1996), "Generalized solutions in elasticity of micropolar bodies with voids", Revista de la Academia Canaria de Ciencias, 8(1), 101-106.
25 Marin, M. (1997), "Cesaro means in thermoelasticity of dipolar bodies", Acta Mechanica, 122(1-4), 155-168. https://doi.org/10.1007/BF01181996   DOI
26 Marin, M. and Nicaise, S. (2016), "Existence and stability results for thermoelastic dipolar bodies with double porosity", Continuum Mech. Thermodyn., 28(6), 1645-1657. https://doi.org/10.1007/s00161-016-0503-4   DOI
27 Marin, M., Ellahi, R. and Chirila, A. (2017), "On solutions of saint-venant's problem for elastic dipolar bodies with voids", Carpathian J. Math., 33(2), 219-232. www.jstor.org/stable/9001779   DOI
28 Mokhtar, Y., 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., Int. J., 21(4), 397-405. https://doi.org/10.12989/sss.2018.21.4.397
29 Othman, M.I.A. and Marin, M. (2017), "Effect of thermal loading due to laser pulse on thermoelastic porous medium under G-N theory", Results in Physics, 7, 3863-3872. https://doi.org/10.1016/j.rinp.2017.10.012   DOI
30 Paola, M., Failla, G. and Zingales, M. (2010), "The mechanically based approach to 3D non-local linear elasticity theory: Longrange central interactions", Int. J. Solids Struct., 47, 2347-2358. https://doi.org/10.1016/j.ijsolstr.2010.02.022   DOI
31 Polizzotto, C. (2001), "Nonlocal elasticity and related variational principles", Int. J. Solids Struct., 38, 7359-7380. https://doi.org/10.1016/S0020-7683(01)00039-7   DOI
32 Press, W.H., Teukolshy, S.A., Vellerling, W.T. and Flannery, B.P. (1986), Numerical Recipes In Fortran, Cambridge University Press, Cambridge, USA.
33 Arefi, M. (2018), "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell", Steel Compos. Struct., Int. J., 27(4), 479-493. https://doi.org/10.12989/scs.2018.27.4.479
34 Artan, R. (1996), "Nonlocal elastic half plane loaded by a concentrated force", Int. J. Eng. Sci., 34(8), 943-950. https://doi.org/10.1016/0020-7225(95)00132-8   DOI
35 Bachher, M. and Sarkar, N. (2018), "Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer", Waves Random Complex Media. https://doi.org/10.1080/17455030.2018.1457230   DOI
36 Bedia, W.A., Benzair, A., Semmah, A., Tounsi, A. and Mahmoud, S.R. (2015), "On the thermal buckling characteristics of armchair single-walled carbon nanotube embedded in an elastic medium based on nonlocal continuum elasticity", Brazil. J. Phys., 45(2), 225-233. https://doi.org/10.1007/s13538-015-0306-2   DOI
37 Belkorissat, I., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nanoplate using a new non-local refined four variable model", Steel Compos. Struct., Int. J., 18(4), 1063-1081. https://doi.org/10.12989/scs.2015.18.4.1063   DOI
38 Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., Int. J., 62(6), 695-702. https://doi.org/10.12989/sem.2017.62.6.695
39 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., Int. J., 69(4), 457-466. https://doi.org/10.12989/sem.2019.69.4.457
40 Besseghier, A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory", Smart Struct. Syst., Int. J., 19(6), 601-614. https://doi.org/10.12989/sss.2017.19.6.601
41 Said, S.M. and Othman, M.I.A. (2016), "Wave propagation in a Two-temperature fibre-reinforced magneto-thermoelastic medium with three-phase-lag-model", Struct. Eng. Mech., Int. J., 57(2), 201-220. https://doi.org/10.12989/sem.2016.57.2.201   DOI
42 Salehipour, H., Shahidi, A.R. and Nahvi, H. (2015), "Modified nonlocal elasticity theory for functionally graded materials", Int. J. Eng. Sci., 90, 44-57. https://doi.org/10.1016/j.ijengsci.2015.01.005   DOI
43 Sharma, P. and Ganti, S. (2003), "The size-dependent elastic state of inclusions in non-local elastic solids", Philosoph. Mag. Lett., 83(12), 745-754. https://doi.org/10.1080/09500830310001621641   DOI
44 Sharma, N., Kumar, R. and Lata, P. (2015), "Disturbance due to inclined load in the transversely isotropic thermoelastic medium with two temperatures and without energy dissipation", Mater. Phys. Mech., 22, 107-117. http://www.ipme.ru/ejournals/MPM/no_22215/MPM222_02_kumar.html
45 Simsek, M. (2011), "Forced vibration of an embedded singlewalled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., Int. J., 11(1), 59-76. https://doi.org/10.12989/scs.2011.11.1.059   DOI
46 Singh, D., Kaur, G. and Tomar, S.K. (2017), "Waves in nonlocal elastic solid with voids", J. Elasticity, 128(1), 85-114. https://doi.org/10.1007/s10659-016-9618-x   DOI
47 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., Int. J., 30(6), 517-534. https://doi.org/10.12989/scs.2019.30.6.517