Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Stability analysis of the ball after contacting with the earth in the volleyball game: A multi-physics simulation

  • Yang Sun (Educational and Teaching Quality Control Center, Heilongjiang University of Technology) ;
  • Yuhan Lin (College of Physical Education, Sichuan University of Science & Engineering) ;
  • Yuehong Ma (School of Economics and Management, Heilongjiang University of Technology)
  • Received : 2021.07.17
  • Accepted : 2023.02.27
  • Published : 2023.03.25
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Abstract

In this work, dynamic stability analysis of the ball after contacting with the earth in the volleyball game is presented. Via spherical shell coordinate, the governing equations and general boundary conditions of the ball after contacting with the earth in the volleyball game is studied. Via Comsol multi-physics simulation, some results are presented and a verification between the outcomes is studied. Harmonic differential quadrature method (HDQM) is utilized to solve the dynamic equations with the aid of boundary nodes of the current spherical shell structure. Finally, the results demonstrated that thickness, mass of the ball and internal pressure of the ball alters the frequency response of the structure. One important results of this study is influence of the internal pressure. Higher internal pressure causes lower frequency and hence reduces the stability of the ball.

Keywords

References

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  76. Hashemi, H.R., Alizadeh, A.a., Oyarhossein, M.A., Shavalipour, A., Makkiabadi, M. and Habibi, M. (2019), "Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure", Wave. Random Complex Media, 31(6), 1340-1366. https://doi.org/10.1080/17455030.2019.1662968
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  78. Heidari, F., Taheri, K., Sheybani, M., Janghorban, M. and Tounsi, A. (2021), "On the mechanics of nanocomposites reinforced by wavy/defected/aggregated nanotubes", Steel Compos. Struct., 38(5), 533-545. https://doi.org/10.12989/scs.2021.38.5.533.
  79. Hosseini, S.A. and Toghroli, A. (2021), "Effect of mixing Nanosilica and Perlite with pervious concrete for nitrate removal from the contaminated water", Adv. Concrete Constr., 11(6), 531-544. https://doi.org/10.12989/acc.2021.11.6.531.
  80. Hosur Shivaramaiah, N.K., Kattimani, S., Shariati, M. and Nguyen-Thoi, T. (2022), "Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 236(22), 11008-11023. https://doi.org/10.1177/09544062221111038.
  81. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Eng. Comput., 38(Suppl 4), 3217-3235. https://doi.org/10.1007/s00366-021-01456-x.
  82. Hu, P., Moradi, Z., Ali, H.E. and Foong, L.K. (2022), "Metaheuristic-reinforced neural network for predicting the compressive strength of concrete", Smart Struct. Syst., 30(2), 195-207. https://doi.org/10.12989/sss.2022.30.2.195. Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A . (2022a), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. Comput., 38(5), 4163-4179. https://doi.org/10.1007/s00366-021-01399-3.
  83. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2022b), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform microtube", Eng. Comput., 38(Suppl 3), 2481-2498. https://doi.org/10.1007/s00366-021-01395-7.
  84. Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021b), "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.
  85. 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.
  86. 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. Pavem. Des., 23(9), 2057-2075. https://doi.org/10.1080/14680629.2021.1950816.
  87. 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 magnetoelectro-elastic nanosystem", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01391-x.
  88. Jin, X., Moradi, Z. and Rashidi, R. (2023), "Optimal operation of distributed generations in four-wire unbalanced distribution systems considering different models of loads", Int. Trans. Elec. Energy Syst., 2023, Article ID 8763116. https://doi.org/10.1155/2023/8763116.
  89. 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.
  90. 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.
  91. 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.
  92. 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.
  93. 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., 38(Suppl 1), 703-724. https://doi.org/10.1007/s00366-020-01166-w.
  94. Lingamdinne, L.P., Amelirad, O., Koduru, J.R., Karri, R.R., Chang, Y.Y., Dehghani, M.H. and Mubarak, N.M. (2023), "Functionalized bentonite for removal of Pb(II) and As(V) from surface water: Predicting capability and mechanism using artificial neural network", J. Water Proc. Eng., 51, 103386. https://doi.org/10.1016/j.jwpe.2022.103386.
  95. 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.
  96. 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., 38(Suppl 5), 4181-4196. https://doi.org/10.1007/s00366-021-01419-2.
  97. 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., 38(Suppl 4), 3631-3653. https://doi.org/10.1007/s00366-021-01454-z.
  98. 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.
  99. 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.
  100. 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., 37(4), 3489-3508. https://doi.org/10.1007/s00366-020-01004-z.
  101. 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., 94, 104581. https://doi.org/10.1016/j.euromechsol.2022.104581.
  102. 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., 96, 104726. https://doi.org/10.1016/j.euromechsol.2022.104726.
  103. 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.
  104. 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.
  105. 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.
  106. 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.
  107. Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020b), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. Comput., 37, 3359-3374. 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, H., Atashi, P., Amelirad, O., Yang, J.K., Chang, Y.Y. and Kamranifard, T. (2022a), "Machine learning modeling and DOE-assisted optimization in synthesis of nanosilica particles via Stober method", Adv. Nano Res., 12(4), 387-403. https://doi.org/10.12989/anr.2022.12.4.387.
  112. Moradi, H., Kim, D.S., Kim, S.H., Chang, Y.Y., Yang, J.K., Choi, E.H. and Kamranifard, T. (2022b), "Experimental and numerical study on diazinon removal using plasma bubble column reactor: Modeling, kinetics, mechanisms, and degradation products", J. Environ. Chem. Eng., 10(5), 108291. https://doi.org/10.1016/j.jece.2022.108291.
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  114. Moradi, Z., Ebrahimi, F. and Davoudi, M. (2022c), "Coupled Newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load", Eng. Anal. Bound. Elem., 144, 492-506. https://doi.org/10.1016/j.enganabound.2022.08.021.
  115. 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.
  116. 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.
  117. 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.
  118. 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.
  119. 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.
  120. 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.
  121. 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.
  122. Rahmatnezhad, K., Zarastvand, M.R. and Talebitooti, R. (2021), "Mechanism study and power transmission feature of acoustically stimulated and thermally loaded composite shell structures with double curvature", Compos. Struct., 276, 114557. https://doi.org/10.1016/j.compstruct.2021.114557.
  123. 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.
  124. 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.
  125. 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.
  126. 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.
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  130. 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.
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  135. 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.
  136. 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.
  137. 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.
  138. 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.
  139. 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.
  140. 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.
  141. 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.
  142. Shariati, A., 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.
  143. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020e), "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.
  144. 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://doi.org/10.25073/jaec.202151.308.
  145. Shariati, M., Azar, S.M., Arjomand, M.A., Tehrani, H.S., Daei, M. and Safa, M. (2020f), "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.2020.20.2.087.
  146. 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.
  147. Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020g), "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.
  148. Shariati, M., Grayeli, M., Shariati, A. and Naghipour, M. (2020h), "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.
  149. 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.
  150. Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020i), "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/sss.2020.25.2.183.
  151. 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.
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  153. Shariati, M., Mahmoudi Azar, S., Arjomand, M.-A., Salmani Tehrani, H., Daei, M. and Safa, M. (2020j), "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.
  154. Shariati, M., Naghipour, M., Yousofizinsaz, G., Toghroli, A. and Pahlavannejad Tabarestani, N. (2020k), "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.
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