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Wave propagation analysis of the ball in the handball's game

  • Yongyong Wang (Ministry of Sports, Chongqing Jiaotong University) ;
  • Qixia Jia (Ministry of Sports, Chongqing Jiaotong University) ;
  • Tingting Deng (Second Foreign Language School of Sichuan Foreign Studies University) ;
  • Mostafa Habibi (Faculty of Architecture and Urbanism, UTE University) ;
  • Sanaa Al-Kikani (Department of Physical Education and Sport Science, Al-Mustaqbal University College) ;
  • H. Elhosiny Ali (Research Center for Advanced Materials Science (RCAMS), King Khalid University)
  • Received : 2021.06.13
  • Accepted : 2023.02.10
  • Published : 2023.03.25

Abstract

It is a recent attraction to the mechanical scientists to investigate state of wave propagation, buckling and vibration in the sport balls to observe the importance of different parameters on the performance of the players and the quality of game. Therefore, in the present study, we aim to investigate the wave propagation in handball game ball in term of mass of the ball and geometrical parameters wit incorporation of the viscoelastic effects of the ball material into account. In this regard, the ball is modeled using thick shell structure and classical elasticity models is utilized to obtain the equation of motion via Hamilton's principle. The displacement field of the ball model is obtained using first order shear deformation theory. The resultant equations are solved with the aid of generalized differential quadrature method. The results show that mass of the ball and viscoelastic coefficient have considerable influence on the state of wave propagation in the ball shell structure.

Keywords

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  78. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021b), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform micro-tube", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.
  79. Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021c), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 1-13. https://doi.org/10.1007/s00366-021-01320-y.
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  81. Ismail, M., Shariati, M., Abdul Awal, A.S.M., Chiong, C.E., Sadeghipour Chahnasir, E., Porbar, A., Heydari, A. and khorami, M. (2018), "Strengthening of bolted shear joints in industrialized ferrocement construction", Steel Compos. Struct., 28(6), 681-690. https://doi.org/10.12989/scs.2018.28.6.681.
  82. Jahandari, S., Tao, Z., Saberian, M., Shariati, M., Li, J., Abolhasani, M., Kazemi, M., Rahmani, A. and Rashidi, M. (2022), "Geotechnical properties of lime-geogrid improved clayey subgrade under various moisture conditions", Road Mater. Pave. Des., 23(9), 2057-2075. https://doi.org/10.1080/14680629.2021.1950816.
  83. Jiao, J., Ghoreishi, S.-m., Moradi, Z. and Oslub, K. (2021), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., https://doi.org/10.1007/s00366-021-01391-x.
  84. Khanouki, M.M.A., Ramli Sulong, N.H., Shariati, M. and Tahir, M.M. (2016), "Investigation of through beam connection to concrete filled circular steel tube (CFCST) column", J. Constr. Steel Res., 121, 144-162. https://doi.org/10.1016/j.jcsr.2016.01.002.
  85. Khorami, M., Alvansazyazdi, M., Shariati, M., Zandi, Y., Jalali, A. and Tahir, M. (2017), "Seismic performance evaluation of buckling restrained braced frames (BRBF) using incremental nonlinear dynamic analysis method (IDA)", Earthq. Struct., 13(6), 531-538. https://doi.org/10.12989/eas.2017.13.6.531.
  86. Kong, F., Dong, F., Duan, M., Habibi, M., Safarpour, H. and Tounsi, A. (2022), "On the vibrations of the Electrorheological sandwich disk with composite face sheets considering pre and post-yield regions", Thin Wall. Struct., 179, 109631. https://doi.org/10.1016/j.tws.2022.109631.
  87. Li, H., Pang, F., Miao, X., Gao, S. and Liu, F. (2019), "A semi analytical method for free vibration analysis of composite laminated cylindrical and spherical shells with complex boundary conditions", Thin Wall. Struct., 136, 200-220. https://doi.org/10.1016/j.tws.2018.12.009.
  88. Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.
  89. Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020b), "On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01166-w.
  90. Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021a), "Amplitude motion and frequency simulation of a composite viscoelastic microsystem within modified couple stress elasticity", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01316-8.
  91. Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M. and Issakhov, A. (2021b), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.
  92. Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021c), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-021-01454-z.
  93. Liu, Z., Su, S., Xi, D. and Habibi, M. (2020a), "Vibrational responses of a MHC viscoelastic thick annular plate in thermal environment using GDQ method", Mech. Bas. Des. Struct. Mach., 50(8), 2688-2713. https://doi.org/10.1080/15397734.2020.1784201.
  94. Liu, Z., Wu, X., Yu, M. and Habibi, M. (2020b), "Large-amplitude dynamical behavior of multilayer graphene platelets reinforced nanocomposite annular plate under thermo-mechanical loadings", Mech. Bas. Des. Struct. Mach., 50(11), 3722-3746. https://doi.org/10.1080/15397734.2020.1815544.
  95. Lori, E.S., Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020), "The critical voltage of a GPL-reinforced composite microdisk covered with piezoelectric layer", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-01004-z.
  96. Lu, Z.Q., Gu, D.H., Ding, H., Lacarbonara, W. and Chen, L.Q. (2020), "Nonlinear vibration isolation via a circular ring", Mech. Syst. Signal Pr., 136, 106490. https://doi.org/10.1016/j.ymssp.2019.106490.
  97. Lu, Z.Q., Liu, W.H., Ding, H. and Chen, L.Q. (2022), "Energy transfer of an axially loaded beam with a parallel-coupled nonlinear vibration isolator", J. Vib. Acoust., 144(5), 051009. https://doi.org/10.1115/1.4054324.
  98. Luo, J., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022a), "Effect of simultaneous compressive and inertia loads on the bifurcation stability of shear deformable functionally graded annular fabrications reinforced with graphenes", Eur. J. Mech.-A/Solid., 104581. https://doi.org/10.1016/j.euromechsol.2022.104581.
  99. Luo, J., Wu, S., Hou, S., Moradi, Z., Habibi, M. and Khadimallah, M.A. (2022b), "Thermally nonlinear thermoelasticity of a one-dimensional finite domain based on the finite strain concept", Eur. J. Mech.-A/Solid., 94, 104726. https://doi.org/10.1016/j.euromechsol.2022.104726.
  100. Ma, L., Liu, X. and Moradi, Z. (2021), "On the chaotic behavior of graphene-reinforced annular systems under harmonic excitation", Eng. Comput., 1-25. https://doi.org/10.1007/s00366-020-01210-9.
  101. Melaibari, A., Abdelrahman, A.A., Hamed, M.A., Abdalla, A.W. and Eltaher, M.A. (2022), "Dynamic analysis of a piezoelectrically layered perforated nonlocal strain gradient nanobeam with flexoelectricity", Math., 10(15), 2614. https://doi.org/10.3390/math10152614.
  102. Melaibari, A., Abo-bakr, R.M., Mohamed, S.A. and Eltaher, M.A. (2020), "Static stability of higher order functionally graded beam under variable axial load", Alex. Eng. J., 59(3), 1661-1675. https://doi.org/10.1016/j.aej.2020.04.012.
  103. Michael, M., Meyyazhagan, A., Velayudhannair, K., Pappuswamy, M., Maria, A., Xavier, V., Balasubramanian, B., Baskaran, R., Kamyab, H. and Vasseghian, Y. (2022), "The Content of Heavy Metals in Cigarettes and the Impact of Their Leachates on the Aquatic Ecosystem", Sustain., 14(8), 4752. https://doi.org/10.3390/su14084752.
  104. Milovancevic, M., Marinovic, J.S., Nikolic, J., Kitic, A., Shariati, M., Trung, N.T., Wakil, K. and Khorami, M. (2019), "UML diagrams for dynamical monitoring of rail vehicles", Physica A: Stat. Mech. Its Appl., 531, 121169. https://doi.org/10.1016/j.physa.2019.121169.
  105. Moayedi, H., Aliakbarlou, H., Jebeli, M., Noormohammadiarani, O., Habibi, M., Safarpour, H. and Foong, L. (2020a), "Thermal buckling responses of a graphene reinforced composite micropanel structure", Int. J. Appl. Mech., 12(01), 2050010. https://doi.org/10.1142/S1758825120500106.
  106. Moayedi, H., Aliakbarlou, H., Jebeli, M., Noormohammadiarani, O., Habibi, M., Safarpour, H. and Foong, L.K. (2020b), "Thermal buckling responses of a graphene reinforced composite micropanel structure", Int. J. Appl. Mech., 12(01), 2050010. https://doi.org/10.1142/S1758825120500106.
  107. Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020c), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-020-01002-1.
  108. Moayedi, H., Habibi, M., Safarpour, H., Safarpour, M. and Foong, L. (2019), "Buckling and frequency responses of a graphene nanoplatelet reinforced composite microdisk", Int. J. Appl. Mech., 11(10), 1950102. https://doi.org/10.1142/S1758825119501023.
  109. Mohammadgholiha, M., Shokrgozar, A., Habibi, M. and Safarpour, H. (2019), "Buckling and frequency analysis of the nonlocal strain-stress gradient shell reinforced with graphene nanoplatelets", J. Vib. Control, 25(19-20), 2627-2640. https://doi.org/10.1177/1077546319863251.
  110. Mohammadi, A., Lashini, H., Habibi, M. and Safarpour, H. (2019), "Influence of viscoelastic foundation on dynamic behaviour of the double walled cylindrical inhomogeneous micro shell using MCST and with the aid of GDQM", J. Solid Mech., 11(2), 440-453. https://doi.org/10.22034/jsm.2019.665264.
  111. Moradi, Z., Davoudi, M., Ebrahimi, F. and Ehyaei, A.F. (2021), "Intelligent wave dispersion control of an inhomogeneous micro-shell using a proportional-derivative smart controller", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1926572.
  112. Naghipour, M., Niak, K.M., Shariati, M. and Toghroli, A. (2020a), "Effect of progressive shear punch of a foundation on a reinforced concrete building behavior", Steel Compos. Struct., 35(2), 279-294. https://doi.org/10.12989/scs.2020.35.2.279.
  113. Naghipour, M., Yousofizinsaz, G. and Shariati, M. (2020b), "Experimental study on axial compressive behavior of welded built-up CFT stub columns made by cold-formed sections with different welding lines", Steel Compos. Struct., 34(3), 347-359. https://doi.org/10.12989/scs.2020.34.3.347.
  114. Najaafi, N., Jamali, M., Habibi, M., Sadeghi, S., Jung, D.W. and Nabipour, N. (2020), "Dynamic instability responses of the substructure living biological cells in the cytoplasm environment using stress-strain size-dependent theory", J. Biomolec. Struct. Dyn., 39(7), 2543-2554. https://doi.org/10.1080/07391102.2020.1751297.
  115. Naveen Kumar, H., Kattimani, S., Marques, F.D., Nguyen-Thoi, T. and Shariati, M. (2022), "Geometrically nonlinear study of functionally graded saturated porous plates based on refined shear deformation plate theory and Biot's theory", Int. J. Struct. Stab. Dyn., 2350013. https://doi.org/10.1142/S021945542350013X. 
  116. Nouri, K., Sulong, N., Ibrahim, Z. and Shariati, M. (2021), "Behaviour of novel stiffened angle shear connectors at ambient and elevated temperatures", Adv. Steel Constr., 17(1), 28-38. https://doi.org/10.18057/IJASC.2021.17.1.4.
  117. Oyarhossein, M.A., Alizadeh, A.a., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Scientif. Report., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.
  118. Pourjabari, A., Hajilak, Z.E., Mohammadi, A., Habibi, M. and Safarpour, H. (2019), "Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures", Comput. Math. Appl., 77(10), 2608-2626. https://doi.org/10.1016/j.camwa.2018.12.041.
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  120. Razavian, L., Naghipour, M., Shariati, M. and Safa, M. (2020), "Experimental study of the behavior of composite timber columns confined with hollow rectangular steel sections under compression", Struct. Eng. Mech., 74(1), 145-156. https://doi.org/10.12989/sem.2020.74.1.145.
  121. Safarpour, H., Ghanizadeh, S.A. and Habibi, M. (2018), "Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory", Eur. Phys. J. Plus, 133(12), 532. https://doi.org/10.1140/epjp/i2018-12385-2.
  122. Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019a), "A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation", Int. J. Mech. Mater. Des., 15(3), 569-583. https://doi.org/10.1007/s10999-018-9431-8.
  123. Safarpour, H., Pourghader, J. and Habibi, M. (2019b), "Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator", J. Vib. Control, 25(9), 1543-1557. https://doi.org/10.1177/1077546319828465.
  124. Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.
  125. Sajedi, F. and Shariati, M. (2019), "Behavior study of NC and HSC RCCs confined by GRP casing and CFRP wrapping", Steel Compos. Struct., 30(5), 417-432. https://doi.org/10.12989/scs.2019.30.5.417.
  126. Shah, S., Sulong, N.R., Shariati, M. and Jumaat, M. (2015), "Steel rack connections: Identification of most influential factors and a comparison of stiffness design methods", PloS one, 10(10), e0139422. https://doi.org/10.1371/journal.pone.0139422.
  127. Shah, S., Sulong, N.R., Shariati, M., Khan, R. and Jumaat, M. (2016a), "Behavior of steel pallet rack beam-to-column connections at elevated temperatures", Thin Wall. Struct., 106, 471-483. https://doi.org/10.1016/j.tws.2016.05.021.
  128. Shah, S.N.R., Ramli Sulong, N.H., Khan, R., Jumaat, M.Z. and Shariati, M. (2016b), "Behavior of industrial steel rack connections", Mech. Syst. Signal Pr., 70-71, 725-740. https://doi.org/10.1016/j.ymssp.2015.08.026.
  129. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Arch. Civil Mech. Eng., 21(4), 1-29. https://doi.org/10.1007/s43452-021-00279-3.
  130. Shariat, M., Lagzian, M., Maleki, S., Shariati, A. and Thoi Trung, N. (2020), "Evaluation of seismic performance factors for tension-only braced frames", Steel Compos. Struct., 35(4), 599-609. http://doi.org/10.12989/scs.2020.35.4.599.
  131. Shariati, A., Barati, M.R., Ebrahimi, F., Singhal, A. and Toghroli, A. (2020a), "Investigating vibrational behavior of graphene sheets under linearly varying in-plane bending load based on the nonlocal strain gradient theory", Adv. Nano Res. 8(4), 265-276. http://doi.org/10.12989/anr.2020.8.4.265.
  132. Shariati, A., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2022a), "Wave propagation analysis of electro-rheological fluid-filled sandwich composite beam", Mech. Bas. Des. Struct. Mach., 50(5), 1481-1490. https://doi.org/10.1080/15397734.2020.1745646.
  133. Shariati, A., Ebrahimi, F., Hosseini, S.H.S., Toghroli, A. and Bayrami, S.S. (2022b), "On the nonlinear dynamics of viscoelastic graphene sheets conveying nanoflow: Parametric excitation analysis", Mech. Bas. Des. Struct. Mach., 50(3), 781-798. https://doi.org/10.1080/15397734.2020.1728544.
  134. Shariati, A., Ebrahimi, F., Karimiasl, M., Selvamani, R. and Toghroli, A. (2020b), "On bending characteristics of smart magneto-electro-piezoelectric nanobeams system", Adv. Nano Res., 9(3), 183-191. http://doi.org/10.12989/anr.2020.9.3.183.
  135. Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020c), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 37, 3629-3648. https://doi.org/10.1007/s00366-020-01024-9.
  136. Shariati, A., Hosseini, S.H.S., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2021a), "Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators", Eng. Comput., 37(3), 1835-1850. https://doi.org/10.1007/s00366-019-00916-9.
  137. Shariati, A., Hosseini, S.H.S., Ebrahimi, F. and Toghroli, A. (2021b), "Nonlinear dynamics and vibration of reinforced piezoelectric scale-dependent plates as a class of nonlinear Mathieu-Hill systems: parametric excitation analysis", Eng. Comput., 37(3), 2285-2301. https://doi.org/10.1007/s00366-020-00942-y.
  138. Shariati, A., Jung, D.W., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020d), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707.
  139. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020e), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707
  140. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020f), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry, 12(4), 586. https://doi.org/10.3390/sym12040586
  141. Shariati, M., Armaghani, D.J., Khandelwal, M., Zhou, J. and Khorami, M. (2021c), "Assessment of longstanding effects of fly ash and silica fume on the compressive strength of concrete using extreme learning machine and artificial neural network", J. Adv. Eng. Comput., 5(1), 50-74. http://dx.doi.org/10.25073/jaec.202151.308.
  142. Shariati, M., Azar, S.M., Arjomand, M.A., Tehrani, H.S., Daei, M. and Safa, M. (2020g), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., 20(2), 87-101. http://doi.org/10.12989/gae.2020.20.2.087.
  143. Shariati, M., Davoodnabi, S.M., Toghroli, A., Kong, Z. and Shariati, A. (2021d), "Hybridization of metaheuristic algorithms with adaptive neuro-fuzzy inference system to predict load-slip behavior of angle shear connectors at elevated temperatures", Compos. Struct., 278, 114524. https://doi.org/10.1016/j.compstruct.2021.114524.
  144. Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020h), "The effect of RBS connection on energy absorption in tall buildings with braced tube frame system", Steel Compos. Struct., 34(3), 393-407. https://doi.org/10.12989/scs.2020.34.3.393.
  145. Shariati, M., Grayeli, M., Shariati, A. and Naghipour, M. (2020i), "Performance of composite frame consisting of steel beams and concrete filled tubes under fire loading", Steel Compos. Struct., 36(5), 587-602. https://doi.org/10.12989/scs.2020.36.5.587.
  146. Shariati, M., Heirati, A., Zandi, Y., Laka, H., Toghroli, A., Kianmehr, P., Safa, M., Salih, M.N. and Poi-Ngian, S. (2019a), "Application of waste tire rubber aggregate in porous concrete", Smart Struct. Syst., 24(4), 553-566. https://doi.org/10.12989/sss.2019.24.4.553.
  147. Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020j), "Prediction of concrete strength in presence of furnace slag and fly ash using Hybrid ANN-GA (Artificial Neural Network-Genetic Algorithm)", Smart Struct. Syst., 25(2), 183-195. https://doi.org/10.12989/scs.2020.25.2.183.
  148. Shariati, M., Mafipour, M.S., Mehrabi, P., Bahadori, A., Zandi, Y., Salih, M.N., Nguyen, H., Dou, J., Song, X. and Poi-Ngian, S. (2019b), "Application of a hybrid artificial neural network-particle swarm optimization (ANN-PSO) model in behavior prediction of channel shear connectors embedded in normal and high-strength concrete", Appl. Sci., 9(24), 5534. https://doi.org/10.3390/app9245534.
  149. Shariati, M., Mafipour, M.S., Mehrabi, P., Shariati, A., Toghroli, A., Trung, N.T. and Salih, M.N.A. (2021e), "A novel approach to predict shear strength of tilted angle connectors using artificial intelligence techniques", Eng. Comput., 37(3), 2089-2109. https://doi.org/10.1007/s00366-019-00930-x.
  150. Shariati, M., Mahmoudi Azar, S., Arjomand, M.-A., Salmani Tehrani, H., Daei, M. and Safa, M. (2020k), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., 20(2), 87-101. https://doi.org/10.12989/gae.2020.19.6.473.
  151. Shariati, M., Naghipour, M., Yousofizinsaz, G., Toghroli, A. and Pahlavannejad Tabarestani, N. (2020l), "Numerical study on the axial compressive behavior of built-up CFT columns considering different welding lines", Steel Compos. Struct., 34(3), 377-391. https://doi.org/10.12989/scs.2020.34.3.377.
  152. Shariati, M., Rafie, S., Zandi, Y., Fooladvand, R., Gharehaghaj, B., Mehrabi, P., Shariat, A., Trung, N.T., Salih, M.N. and Poi-Ngian, S. (2019c), "Experimental investigation on the effect of cementitious materials on fresh and mechanical properties of self-consolidating concrete", Adv. Concrete Constr., 8(3), 225-237. https://doi.org/10.12989/acc.2019.8.3.225.
  153. Shariati, M., Ramli Sulong, N., Suhatril, M., Shariati, A., Arabnejad Khanouki, M. and Sinaei, H. (2012), "Fatigue energy dissipation and failure analysis of channel shear connector embedded in the lightweight aggregate concrete in composite bridge girders", Fifth International Conference on Engineering Failure Analysis, The Hague, The Netherlands, July.
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