Browse > Article
http://dx.doi.org/10.12989/gae.2020.21.1.001

Effect of the rotation on the thermal stress wave propagation in non-homogeneous viscoelastic body  

Al-Basyouni, K.S. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Ghandourah, E. (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University)
Mostafa, H.M. (Department Physics, Faculty of Science, Al -Azhar University Assiut Branch)
Algarni, Ali (Department of Statistics, Faculty of Science, King Abdulaziz University)
Publication Information
Geomechanics and Engineering / v.21, no.1, 2020 , pp. 1-9 More about this Journal
Abstract
In this article, an analytical solution for the effect of the rotation on thermo-viscoelastic non-homogeneous medium with a spherical cavity subjected to periodic loading is studied. The distribution of displacements, temperature, redial stress, and hoop stress in non-homogeneous medium, in the context of generalized thermo-viscoelasticity using the GL theory, is discussed and obtained. The results are displayed graphically to illustrate the effect of the rotation. Comparisons with the previous work in the absence of rotation and viscosity are made.
Keywords
rotation; relaxation times; viscoelasticity; non-homogeneous; thermoelasticity;
Citations & Related Records
Times Cited By KSCI : 90  (Citation Analysis)
연도 인용수 순위
1 Karami, B., Janghorban, M. and Tounsi, A. (2019a), "On pre-stressed functionally graded anisotropic nanoshell in magnetic field", J. Braz. Soc. Mech. Sci. Eng., 41(11), 495. https://doi.org/10.1007/s40430-019-1996-0.   DOI
2 Karami, B., Janghorban, M. and Tounsi, A. (2019c), "Wave propagation of functionally graded anisotropic nanoplates resting on Winkler-Pasternak foundation", Struct. Eng. Mech., 7(1), 55-66. https://doi.org/10.12989/sem.2019.70.1.055.
3 Pandey, H.K., Hirwani, C.K., Sharma, N., Katariya, P.V. nad Panda, S.K. (2019), "Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses - An FEM approach and experimental verification", Adv. Nano Res., 7(6), 419-429. https://doi.org/10.12989/anr.2019.7.6.419.   DOI
4 Panjehpour, M., Loh, E.W.K. and Deepak, T.J. (2018), "Structural Insulated Panels: State-of-the-Art", Trends Civ. Eng. Architect., 3(1) 336-340. DOI: 10.32474/TCEIA.2018.03.000151.
5 Patle, B.K., Hirwani, C.K., Singh, R.P. and Panda, S.K. (2018), "Eigen frequency and deflection analysis of layered structure using uncertain elastic properties-a fuzzy finite element approach", Int. J. Approx. Reason., 98, 163-176. https://doi.org/10.1016/j.ijar.2018.04.013.   DOI
6 Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516.https://doi.org/10.12989/scs.2019.31.5.503.   DOI
7 Bellal, M., Hebali, H., Heireche, H., Bousahla, A.A., Tounsi, A., Bourada, F., Mahmoud, S.R., AddaBedia, E.A. and Tounsi, A. (2020), "Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model", Steel Compos. Struct., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.   DOI
8 Berghouti, H., AddaBedia, E.A., Benkhedda, A. and Tounsi, A. (2019), "Vibration analysis of nonlocal porous nanobeams made of functionally graded material", Adv. Nano Res., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351.   DOI
9 Bhattacharyya, M., Kapuria, S. and Kumar, A.N. (2007), "On the stress to strain transfer ratio and elastic deflection behavior for Al/SiC functionally graded material", Mech. Adv. Mater. Struct., 14(4), 295-302. https://doi.org/10.1080/15376490600817917.   DOI
10 Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161.   DOI
11 Katariya, P.V. and Panda, S.K. (2019a), "Numerical evaluation of transient deflection and frequency responses of sandwich shell structure using higher order theory and different mechanical loadings", Eng. Comput., 35(3), 1009-1026. https://doi.org/10.1007/s00366-018-0646-y.   DOI
12 Karami, B., Janghorban, M. and Tounsi, A. (2019e), "On exact wave propagation analysis of triclinic material using three dimensional bi-Helmholtz gradient plate model", Struct. Eng. Mech., 69(5), 487-497. https://doi.org/10.12989/sem.2019.69.5.487.   DOI
13 Karami, B., Janghorban, M. and Tounsi, A. (2020), "Novel study on functionally graded anisotropic doubly curved nanoshells", Eur. Phys. J. Plus, 135(1), 103. https://doi.org/10.1140/epjp/s13360-019-00079-y.   DOI
14 Karami, B., Shahsavari, D., Janghorban, M. and Tounsi, A. (2019d), "Resonance behavior of functionally graded polymer composite nanoplates reinforced with grapheme nanoplatelets", Int. J. Mech. Sci., 156, 94-105. https://doi.org/10.1016/j.ijmecsci.2019.03.036.   DOI
15 Katariya, P.V. and Panda, S.K. (2020), "Numerical analysis of thermal post-buckling strength of laminated skew sandwich composite shell panel structure including stretching effect", Steel Compos. Struct., 34(2), 279-288. https://doi.org/10.12989/scs.2020.34.2.279   DOI
16 Katariya, P.V. and Panda, S.K. (2019b), "Numerical frequency analysis of skew sandwich layered composite shell structures under thermal environment including shear deformation effects", Struct. Eng. Mech., 71(6), 657-668. https://doi.org/10.12989/sem.2019.71.6.657.   DOI
17 Sahla, F., Saidi, H., Draiche, K., Bousahla, A.A., Bourada, F., and Tounsi, A. (2019), "Free vibration analysis of angle-ply laminated composite and soft core sandwich plates", Steel Compos. Struct., 33(5), 663-679. https://doi.org/10.12989/scs.2019.33.5.663.   DOI
18 Rahmani, M.C., Kaci ,A., Bousahla, A.A., Bourada, F., Tounsi ,A., Adda Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Influence of boundary conditions on the bending and free vibration behavior of FGM sandwich plates using a four-unknown refined integral plate theory", Comput. Concrete, In Press.
19 Ramteke, P.M., Panda, S.K. and Sharma, N. (2019), "Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure", Steel Compos. Struct., 33(6), 865-875. https://doi.org/10.12989/scs.2019.33.6.865.   DOI
20 Rezaiee-Pajand, M., Masoodi, A.R. and Mokhtari, M. (2018), "Static analysis of functionally graded non-prismatic sandwich beams", Adv. Comput. Des., 3(2), 165-190. https://doi.org/10.12989/acd.2018.3.2.165   DOI
21 Sahoo, S., Hirwani, C.K., Panda, S.K. and Sen, D. (2018), "Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: An experimental validation", Scientia Iranica, 25(4), 2218-2232. https://doi.org/10.24200/sci.2017.4346.
22 Lal, A., Jagtap, K.R. and Singh, B.N. (2017), "Thermomechanically induced finite element based nonlinear static response of elastically supported functionally graded plate with random system properties", Adv. Comput. Des., 2(3), 165-194. https://doi.org/10.12989/acd.2017.2.3.165.   DOI
23 Bourada, F., Bousahla, A.A., Bourada, M., Azzaz, A., Zinata, A. and Tounsi, A. (2019), "Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory", Wind Struct., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019.   DOI
24 Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Adda Bedia, E.A. and Tounsi, A. (2020), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.   DOI
25 Khiloun, M., Bousahla, A.A., Kaci, A., Bessaim, A., Tounsi, A. and Mahmoud, S.R. (2019), "Analytical modeling of bending and vibration of thick advanced composite plates using a fourvariable quasi 3D HSDT", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-019-00732-1.
26 Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805.   DOI
27 Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., 7(2), 89-98. https://doi.org/10.12989/anr.2019.7.2.089.   DOI
28 Khosravi, F., Hosseini, S.A. and Tounsi, A. (2020), "Torsional dynamic response of viscoelastic SWCNT subjected to linear and harmonic torques with general boundary conditions via Eringen's nonlocal differential model", Eur. Phys. J. Plus, 135(2), 183. https://doi.org/10.1140/epjp/s13360-020-00207-z.   DOI
29 Kumar, R., Kumar, A. and Mukhopadhyay, S. (2016), "An investigation on thermoelastic interactions under twotemperature thermoelasticity with two relaxation parameters", Math. Mech. Solids, 21(6), 725-736. https://doi.org/10.1177/1081286514536429.   DOI
30 Kunche, M.C., Mishra, P.K., Nallala, H.B., Hirwani, C.K., Katariya, P.V., Panda, S. and Panda, S.K. (2019), "Theoretical and experimental modal responses of adhesive bonded Tjoints", Wind Struct., 29(5), 361-369. https://doi.org/10.12989/was.2019.29.5.361.   DOI
31 Mahmoud, S.R. (2012), "Influence of rotation and generalized magneto-thermoelastic on Rayleigh waves in a granular medium under effect of initial stress and gravity field", Meccanica, 47(7), 1561-1579. https://doi.org/10.1007/s11012-011-9535-9.   DOI
32 Younsi, A., Tounsi, A., Zaoui, F.Z., Bousahla, A.A. and Mahmoud, S. (2018), "Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates", Geomech. Eng., 14(6), 519-532. https://doi.org/10.12989/gae.2018.14.6.519.   DOI
33 Sharma, K. and Kumar, P. (2013), "Propagation of plane waves and fundamental solution in thermoviscoelastic medium with voids", J. Therm. Stresses, 36(2), 94-111. https://doi.org/10.1080/01495739.2012.720545.   DOI
34 Tlidji, Y., Zidour, M., Draiche, K., Safa, A., Bourada, M., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Vibration analysis of different material distributions of functionally graded microbeam", Struct. Eng. Mech., 69(6), 637-649. https://doi.org/10.12989/sem.2019.69.6.637.   DOI
35 Tounsi, A., Al-Dulaijan, S.U., Al-Osta, M.A., Chikh, A., Al-Zahrani, M.M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermomechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.   DOI
36 Zaoui, F.Z., Ouinas, D. and Tounsi, A. (2019), "New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations", Compos. Part B, 159, 231-247. https://doi.org/10.1016/j.compositesb.2018.09.051.   DOI
37 Daouadji, T.H. (2017), "Analytical and numerical modeling of interfacial stresses in beams bonded with a thin plate", Adv. Comput. Des., 2(1), 57-69. https://doi.org/10.12989/acd.2017.2.1.057.   DOI
38 Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2020), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst., 25(2), 197-218. https://doi.org/10.12989/sss.2020.25.2.197.   DOI
39 Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Tounsi, A. (2019), "Dynamic Analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., 7(3), 191-208. https://doi.org/10.12989/anr.2019.7.3.191.   DOI
40 Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A., Derras, A., Bousahla, A.A. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/sem.2019.71.2.185.   DOI
41 Matouk, H., Bousahla, A.A., Heireche, H., Bourada, F., Adda Bedia, E. A., Tounsi, A., Mahmoud, S.R., Tounsi, A. and Benrahou, K.H. (2020), "Investigation on hygro-thermal vibration of P-FG and symmetric S-FG nanobeam using integral Timoshenko beam theory", Adv. Nano Res., In Press.
42 Mahmoud, S.R., Abd-Alla, A.M. and AL-Shehri, N.A. (2011a), "Effect of the rotation on plane vibrations in a transversely isotropic infinite hollow cylinder", Int. J. Modern Phys. B, 25(26), 3513-3528. https://doi.org/10.1142/S0217979211100928.   DOI
43 Mahmoud, S.R., Abd-Alla, A.M. and Matooka, B.R. (2011b), "Effect of the rotation on wave motion through cylindrical bore in a micropolar porous cubic crystal", Int. J. Modern Phys. B, 25(20), 2713-2728. https://doi.org/10.1142/S0217979211101739.   DOI
44 Zarga, D., Tounsi, A., Bousahla, A.A., Bourada, F. and Mahmoud, S.R. (2019), "Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory", Steel Compos. Struct., 32(3), 389-410. https://doi.org/10.12989/scs.2019.32.3.389.   DOI
45 Dash, S., Mehar, K., Sharma, N., Mahapatra, T.R. and Panda, S.K. (2019), "Finite element solution of stress and flexural strength of functionally graded doubly curved sandwich shell panel", Earthq. Struct., 16(1), 55-67. https://doi.org/10.12989/eas.2019.16.1.055.   DOI
46 Draiche, K., Bousahla, A.A., Tounsi, A., Alwabli, A.S., Tounsi, A. and Mahmoud, S.R. (2019), "Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory", Comput. Concrete, 24(4), 369-378. https://doi.org/10.12989/cac.2019.24.4.369.   DOI
47 Draoui, A., Zidour, M., Tounsi, A. and Adim, B. (2019), "Static and dynamic behavior of nanotubes-reinforced sandwich plates using (FSDT)", J. Nano Res., 57, 117-135. https://doi.org/10.4028/www.scientific.net/JNanoR.57.117.   DOI
48 Ezzat, M.A. and Atef, H.M. (2011), "Magneto-thermo-viscoelastic material with a spherical cavity", J. Civ. Eng. Construct. Technol., 2(1), 6-16.
49 Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S.R. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21(6), 1906-1926. https://doi.org/10.1177/1099636217727577.   DOI
50 Mashat, D.S., Zenkour, A.M. and Abouelregal, A.E. (2017), "Thermoelastic interactions in a rotating infinite orthotropic elastic body with a cylindrical hole and variable thermal conductivity", Arch. Mech. Eng., 64(4), 481-498. https://doi.org/10.1515/meceng-2017-0028.   DOI
51 Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.   DOI
52 Mehar, K., Mishra, P.K. and Panda, S.K. (2020), "Numerical investigation of thermal frequency responses of graded hybrid smart nanocomposite (CNT-SMA-Epoxy) structure", Mech. Adv. Mater. Struct., 1-13. https://doi.org/10.1080/15376494.2020.1725193.
53 Miara, B., Rohan, E., Griso, G., Avila, A., Bossavit, A., Ouchetto, O., Zouhdi, S., Zidi, M. and Labat, B. (2007), "Application of multi-scale modelling to some elastic, piezoelectric and electromagnetic composites", Mech. Adv. Mater. Struct., 14(1), 33-42. https://doi.org/10.1080/15376490600864547.   DOI
54 Mehar, K. and Panda, S.K. (2019a), "Nonlinear deformation and stress responses of a graded carbon nanotube sandwich plate structure under thermoelastic loading", Acta Mech., 1-19. https://doi.org/10.1007/s00707-019-02579-5.
55 Mehar, K. and Panda, S.K. (2019b), "Multiscale modeling approach for thermal buckling analysis of nanocomposite curved structure", Adv. Nano Res., 7(3), 181-190. https://doi.org/10.12989/anr.2019.7.3.181.   DOI
56 Abd-Alla, A.M., Abo-Dahab, S.M., Mahmoud, S.R. and Hammad, H.A. (2011c), "On generalized magneto-thermoelastic Rayleigh waves in a granular medium under influence of gravity field and initial stress", J. Vib. Control, 17(1), 115-128. https://doi.org/10.1177/1077546309341145.   DOI
57 Ezzat, M.A. and El-Bary, A.A. (2017), "Generalized fractional magneto-thermo-viscoelasticity", Microsyst. Technol., 23(6), 1767-1777. https://doi.org/10.1007/s00542-016-2904-5.   DOI
58 Ezzat, M.A., Zakaria, M. and El-Bary, A.A. (2012), "Twotemperature theory in thermo-electric viscoelastic material subjected to modified Ohm's and Fourier's laws", Mech. Adv. Mater. Struct., 19(6), 453-464. https://doi.org/10.1080/15376494.2010.550081.   DOI
59 Fahmy, M.A. (2011), "A time-stepping DRBEM for magnetothermo-viscoelastic interactions in a rotating nonhomogeneous anisotropic solid", Int. J. Appl. Mech., 3(4), 711-734. https://doi.org/10.1142/S1758825111001202.   DOI
60 Meksi, R, Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2019), "An analytical solution for bending, buckling and vibration responses of FGM sandwich plates", J. Sandw. Struct. Mater., 21(2), 727-757. https://doi.org/10.1177/1099636217698443.   DOI
61 Narwariya, M., Choudhury, A. and Sharma, A.K. (2018), "Harmonic analysis of moderately thick symmetric cross-ply laminated composite plate using FEM", Adv. Comput. Des., 3(2), 113-132. https://doi.org/10.12989/acd.2018.3.2.113.   DOI
62 Othman, M.I.A. and Song, Y. (2008), "Effect of rotation on plane waves of generalized electro-magneto-thermo viscoelasticity with two relaxation times", Appl. Math. Modell., 32(5), 811-825. https://doi.org/10.1016/j.apm.2007.02.025.   DOI
63 Othman, M. and Fekry, M. (2018), "Effect of rotation and gravity on generalized thermo-viscoelastic medium with voids", Multidisciplin. Model. Mater. Struct., 14(2), 322-338. https://doi.org/10.1108/MMMS-08-2017-0082.   DOI
64 Abd-Alla, A.M. and Mahmoud, S.R. (2012), "Analytical solution of wave propagation in non-homogeneous orthotropic rotating elastic media", J. Mech. Sci. Technol., 26(3), 917-926. https://doi.org/10.1007/s12206-011-1241-y.   DOI
65 Abd-Alla, A.M., Yahya, G.A. and Mahmoud, S.R. (2013), "Radial vibrations in a non-homogeneous orthotropic elastic hollow sphere subjected to rotation", J. Comput. Theor. Nanosci., 10(2), 455-463. https://doi.org/10.1166/jctn.2013.2718.   DOI
66 Abd-Alla, A.M. and Mahmoud, S.R. (2010a), "Magnetothermoelastic problem in rotating non-homogeneous orthotropic hollow cylindrical under the hyperbolic heat conduction model", Meccanica, 45(4), 451-462. https://doi.org/10.1007/s11012-009-9261-8.   DOI
67 Abd-Alla, A.M. and Mahmoud, S.R. (2010b), "Effect of the rotation on propagation of thermoelastic waves in a nonhomogeneous infinite cylinder of isotropic material", Int. J. Math. Anal., 4, 2051-2064.
68 Abd-Alla, A.M., Mahmoud, S.R. and Abo-Dahab, S.M. (2012), "On problem of transient coupled thermoelasticity of an annular fin", Meccanica, 47(5), 1295-1306. https://doi.org/10.1007/s11012-011-9513-2.   DOI
69 Abd-Alla, A.M., Mahmoud, S.R., Abo-Dahab, S.M. and Helmi, M.I.R. (2011b), "Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field", Appl. Math. Comput., 217(9), 4321-4332. https://doi.org/10.1016/j.amc.2010.10.029.   DOI
70 Abd-Alla, A.M., Mahmoud, S.R. and AL-Shehri, N.A. (2011a), "Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material", Appl. Math. Comput., 217(22), 8914-8922. https://doi.org/10.1016/j.amc.2011.03.077.   DOI
71 Fahmy, M.A. (2012d), "Transient magneto-thermo-elastic stresses in an anisotropic viscoelastic solid with and without moving heat source", Numer. Heat Transfer Part A Appl., 61(8), 547-564. https://doi.org/10.1080/10407782.2012.667322.   DOI
72 Fahmy, M.A. (2012a), "A time-stepping DRBEM for the transient magneto-thermo-visco-elastic stresses in a rotating nonhomogeneous anisotropic solid", Eng. Anal. Bound. Elements, 36(3), 335-345. https://doi.org/10.1016/j.enganabound.2011.09.004.   DOI
73 Fahmy, M.A. (2012b), "Transient magneto-thermoviscoelastic plane waves in a non-homogeneous anisotropic thick strip subjected to a moving heat source", Appl. Math. Modell., 36(10), 4565-4578. https://doi.org/10.1016/j.apm.2011.11.036.   DOI
74 Fahmy, M.A. (2012c), "The effect of rotation and inhomogeneity on the transient magneto-thermoviscoelastic stresses in an anisotropic solid", J. Appl. Mech., 79(5), 051015. https://doi.org/10.1115/1.4006258.   DOI
75 Fahmy, M.A. (2013a), "Implicit-explicit time integration DRBEM for generalized magneto-thermoelasticity problems of rotating anisotropic viscoelastic functionally graded solids", Eng. Anal. Bound. Elements, 37(1), 107-115. https://doi.org/10.1016/j.enganabound.2012.08.002.   DOI
76 Abd-Alla, A.M., Yahya, G.A. and Mahmoud, S.R. (2013), "Effect of magnetic field and non-homogeneity on the radial vibrations in hollow rotating elastic cylinder", Meccanica, 48(3), 555-566. https://doi.org/10.1007/s11012-012-9615-5.   DOI
77 Othman, M.I.A. and Hilal, M.I.M. (2017), "Effect of initial stressed and rotation on magneto-thermoelastic material with voids and energy dissipation", Multidisciplin. Model. Mater. Struct., 13(2), 331-346. https://doi.org/10.1108/MMMS-09-2016-0047.   DOI
78 Panda, S.K. and Katariya, P.V. (2015), "Stability and free vibration behaviour of laminated composite panels under thermomechanical loading", Int. J. Appl. Comput. Math., 1(3), 475-490. https://doi.org/10.1007/s40819-015-0035-9.   DOI
79 Mehar, K., Panda, S.K., Devarajan, Y. and Choubey, G. (2019), "Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading", Compos. Struct., 216, 406-414. https://doi.org/10.1016/j.compstruct.2019.03.002.   DOI
80 Fahmy, M.A. (2013b), "Generalized magneto-thermo-viscoelastic problems of rotating functionally graded anisotropic plates by the dual reciprocity boundary element method", J. Therm. Stresses, 36(3), 284-303. https://doi.org/10.1080/01495739.2013.765206.   DOI
81 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.   DOI
82 Adda Bedia, W., Houari, M.S.A., Bessaim, A., Bousahla, A.A., Tounsi, A., Saeed, T. and Alhodaly, M.Sh. (2019), "A new hyperbolic two-unknown beam model for bending and buckling analysis of a nonlocal strain gradient nanobeam", J. Nano Res., 57, 175-191. https://doi.org/10.4028/www.scientific.net/JNanoR.57.175.   DOI
83 Addou, F.Y., Meradjah, M., Bousahla, A.A., Benachour, A., Bourada, F., Tounsi, A. and Mahmoud, S.R. (2019), "Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT", Comput. Concrete, 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347.   DOI
84 Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.   DOI
85 Ailawalia, P., Budhirajab, S. and Singlac, A. (2014), "Dynamic problem in Green-Naghdi (type III) thermoelastic half-space with two temperature", Mech. Adv. Mater. Struct., 21(4), 544-552. https://doi.org/10.1080/15376494.2012.699596.   DOI
86 Fahmy, M.A. (2018b), "Shape design sensitivity and optimization of anisotropic functionally graded smart structures using bicubic B-splines DRBEM", Eng. Anal. Bound. Elements, 87, 27-35. https://doi.org/10.1016/j.enganabound.2017.11.005.   DOI
87 Fahmy, M.A. (2013c), "A three-dimensional generalized magnetothermo-viscoelastic problem of a rotating functionally graded anisotropic solids with and without energy dissipation", Numer. Heat Transfer Part A Appl., 63(9), 713-733. https://doi.org/10.1080/10407782.2013.751317.   DOI
88 Fahmy, M.A. (2014), "A computerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures", Lat. Amer. J. Solids Struct., 11(3), 386-409. https://doi.org/10.1590/S1679-78252014000300003.   DOI
89 Fahmy, M.A. (2018a), "Shape design sensitivity and optimization for two-temperature generalized magneto-thermoelastic problems using time-domain DRBEM", J. Therm. Stresses, 41(1), 119-138. https://doi.org/10.1080/01495739.2017.1387880.   DOI
90 Fahmy, M.A. (2019a), "Modeling and optimization of anisotropic viscoelastic porous structures using CQBEM and moving asymptotes algorithm", Arab. J. Sci. Eng., 44(2), 1671-1684. https://doi.org/10.1007/s13369-018-3652-x.   DOI
91 Fahmy, M.A. (2019b), "Design optimization for a simulation of rotating anisotropic viscoelastic porous structures using timedomain OQBEM", Math. Comput. Simul., 166, 193-205. https://doi.org/10.1016/j.matcom.2019.05.004.   DOI
92 Fahmy, M.A. (2019c), "A new boundary element strategy for modeling and simulation of three-temperature nonlinear generalized micropolar-magneto-thermoelastic wave propagation problems in FGA structure", Eng. Anal. Bound. Elements, 108, 192-200. https://doi.org/10.1016/j.enganabound.2019.08.006.   DOI
93 Hirwani, C.K. and Panda, S.K. (2019a), "Nonlinear thermal free vibration frequency analysis of delaminated shell panel using FEM", Compos. Struct., 224, 111011. https://doi.org/10.1016/j.compstruct.2019.111011.   DOI
94 Akbarzadeh, A. and Chen, Z. (2014), "Thermo-magneto-electroelastic responses of rotating hollow cylinders", Mech. Adv. Mater. Struct., 21(1), 67-80. https://doi.org/10.1080/15376494.2012.677108.   DOI
95 Fahmy, M.A. (2020), "A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures", Arab. J. Basic Appl. Sci., 27(1), 1-12. https://doi.org/10.1080/25765299.2019.1703493.   DOI
96 Hellal, H., Bourada, M., Hebali, H., Bourada, F., Tounsi, A., Bousahla, A.A. and Mahmoud, S.R. (2019), "Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory", J. Sandw. Struct. Mater. https://doi.org/10.1177/1099636219845841.
97 Hirwani, C.K. and Panda, S.K. (2018), "Numerical and experimental validation of nonlinear deflection and stress responses of pre-damaged glass-fibre reinforced composite structure", Ocean Eng., 159, 237-252. https://doi.org/10.1016/j.oceaneng.2018.04.035.   DOI
98 Hirwani, C.K., Panda, S.K. and Patle, B.K. (2018a), "Theoretical and experimental validation of nonlinear deflection and stress responses of an internally debonded layer structure using different higher-order theories", Acta Mech., 229(8), 3453-3473. https://doi.org/10.1007/s00707-018-2173-8.   DOI
99 Hirwani, C.K. and Panda, S.K. (2019b), "Nonlinear transient analysis of delaminated curved composite structure under blast/pulse load", Eng. Comput., 1-14. https://doi.org/10.1007/s00366-019-00757-6.
100 Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magnetoelastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.   DOI
101 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.   DOI
102 Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., 30(6), 603-615.https://doi.org/10.12989/scs.2019.30.6.603.   DOI
103 Ayat, H., Kellouche, Y., Ghrici, M. and Boukhatem, B. (2018), "Compressive strength prediction of limestone filler concrete using artificial neural networks", Adv. Comput. Des., 3(3), 289-302. https://doi.org/10.12989/acd.2018.3.3.289.   DOI
104 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.   DOI
105 Batou, B., Nebab, M., Bennai, R., AitAtmane, H., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699.   DOI
106 Hussain, M., Naeem, M.N., Taj, M. and Tounsi, A. (2020a), "Simulating vibrations of vibration of single-walled carbon nanotube using Rayleigh-Ritz's method", Adv. Nano Res., In Press.
107 Hirwani, C.K. and Panda, S.K. (2019c), "Nonlinear finite element solutions of thermoelastic deflection and stress responses of internally damaged curved panel structure", Appl. Math. Modell., 65, 303-317. https://doi.org/10.1016/j.apm.2018.08.014.   DOI
108 Behera, S. and Kumari, P. (2018), "Free vibration of Levy-type rectangular laminated plates using efficient zig-zag theory", Adv. Comput. Des., 3(3), 213-232. https://doi.org/10.12989/acd.2017.2.3.165.   DOI
109 Belbachir, N., Draich, K., Bousahla, A.A., Bourada, M., Tounsi, A. and Mohammadimehr, M. (2019), "Bending analysis of antisymmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings", Steel Compos. Struct., 33(1), 81-92. https://doi.org/10.12989/scs.2019.33.1.081.   DOI
110 Hirwani, C.K., Panda, S.K., Mahapatra, T.R., Mandal, S.K., Mahapatra, S.S. and De, A.K. (2018b), "Delamination effect on flexural responses of layered curved shallow shell panelexperimental and numerical analysis", Int. J. Comput. Meth., 15(4), 1850027. https://doi.org/10.1142/S0219876218500275.   DOI
111 Hussain, M., Naeem, M.N. and Tounsi, A. (2020b), "On mixing the Rayleigh-Ritz formulation with Hankel's function for vibration of fluid-filled FG cylindrical shell", Adv. Comput. Des., In Press.
112 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.   DOI
113 Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., Adda Bedia, E.A. and Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and Free vibration analysis", Comput. Concrete, 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037.   DOI
114 Karami, B., Janghorban, M. and Tounsi, A. (2019b), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35(4), 1297-1316. https://doi.org/10.1007/s00366-018-0664-9.   DOI