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http://dx.doi.org/10.12989/gae.2022.30.2.139

Influence of moisture content on main mechanical properties of expansive soil and deformation of non-equal-length double-row piles: A case study  

Wei, Meng (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology)
Liao, Fengfan (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology)
Zhou, Kerui (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology)
Yan, Shichun (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology)
Liu, Jianguo (China Railway Eryuan Engineering Group. Co. Ltd)
Wang, Peng (Sichuan Institute of Building Research. Co. Ltd)
Publication Information
Geomechanics and Engineering / v.30, no.2, 2022 , pp. 139-151 More about this Journal
Abstract
The mechanical properties of expansive soil are very unstable, highly sensitive to water, and thus easy to cause major engineering accidents. In this paper, the expansive soil foundation pit project of the East Huada Square in the eastern suburb of Chengdu was studied, the moisture content of the expansive soil was considered as an important factor that affecting the mechanics properties of expansive soil and the stability of the non-equal-length double-row piles in the foundation pit support. Three groups of direct shear tests were carried out and the quantitative relationships between the moisture content and shear strength τ, cohesion c, internal friction angle φ were obtained. The effect of cohesion and internal friction angle on the maximum displacement and the maximum bending moment of piles were analyzed by the finite element software MIDAS/GTS (Geotechnical and Tunnel Analysis System). Results show that the higher the moisture content, the smaller the matrix suction, and the smaller the shear strength; the cohesion and the internal friction angle are exponentially related to the moisture content, and both are negatively correlated. The maximum displacement and the maximum bending moment of the non-equal length double-row piles decrease with the increase of the cohesion and the internal friction angle. When the cohesion is greater than 33 kPa or the internal friction angle is greater than 25.5°, the maximum displacement and maximum bending moment of the piles are relatively small, however, once crossing the points (the corresponding moisture content value is 24.4%), the maximum displacement and the maximum bending moment will increase significantly. Therefore, in order to ensure the stability and safety of the foundation pit support structure of the East Huada Square, the moisture content of the expansive soil should not exceed 24.4%.
Keywords
case study; expansive soil; moisture content; non-equal length double-row piles; shear strength;
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82 Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. with Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.   DOI
83 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. with Comput., 1-22. https://doi.org/10.1007/s00366-020-01166-w.   DOI
84 Setoodeh, A. and Rezaei, M. (2017), "Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation", Struct. Eng. Mech., 61(2), 209-220. https://doi.org/10.12989/sem.2017.61.2.209.   DOI
85 Habibi, M., Taghdir, A. and Safarpour, H. (2019e), "Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets", Compos. Part B: Eng., 175, 107125. https://doi.org/10.1016/j.compositesb.2019.107125.   DOI
86 Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020d), "Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory", Compos. Struct., 113152. https://doi.org/10.1016/j.compstruct.2020.113152.   DOI
87 Ting, L., Chaosheng, T., Dan, X., Yunsheng, L., Yan, Z., Kan, W. and Bin, S. (2018), "Advance on the engineering geological characteristics of expansive soil", J. Eng. Geol., 26(1), 112-128. https://doi.org/10.13544/j.cnki.jeg.2018.01.013.   DOI
88 Tang, F., Zheng, Y. and Yang, B. (2010), "Thrust share ratios and optimization design for two-row anti-slide piles", Chinese J. Rock Mech. Eng., 29(1), 3162-3168. https://doi.org/10.1016/j.csite.2018.09.006.   DOI
89 Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2019c), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Based Des. Struct., 811-840. https://doi.org/10.1080/15397734.2019.1701490.   DOI
90 Habibi, M., Mohammadi, A., Safarpour, H., Shavalipour, A. and Ghadiri, M. (2019d), "Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator", Mech. Based Des. Struct., 1-19. https://doi.org/10.1080/15397734.2019.1697932.   DOI
91 Hachemi, H., Bousahla, A.A., Kaci, A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A., Al-Zahrani, M.M. and Mahmoud, S. (2021), "Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position", Steel Compos. Struct., 39(1), 51-64. https://doi.org/10.12989/scs.2021.39.1.051.   DOI
92 Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021d), "Nonlinear forced vibration analysis of functionally graded non-uniform cylindrical microbeams applying the semi-analytical solution", Compos. Struct., 114395. https://doi.org/10.1016/j.compstruct.2021.114395.   DOI
93 Chen, F.X., Zhong, Y.C., Gao, X.Y., Jin, Z.Q., Wang, E.D., Zhu, F.P., Shao, X.X. and He, X.Y. (2021a), "Non-uniform model of relationship between surface strain and rust expansion force of reinforced concrete", Scientific Reports, 11(1), 1-9. https://doi.org/10.1038/s41598-021-88146-2.   DOI
94 Huang, H., Huang, M., Zhang, W., Pospisil, S. and Wu, T. (2020), "Experimental investigation on rehabilitation of corroded RC columns with BSP and HPFL under combined loadings", J. Struct. Eng., 146(8), 04020157. 10.1061/(ASCE)ST.1943-541X.0002725.   DOI
95 Lin, P., Wang, Y.F., Fan, Z.X. and Huang, D.Y. (2010), "Application and analysis of retaining structure with double-row piles in soft ground excavation engineering", Chinese J. Geotech. Eng., 2, 331-334. https://doi.org/10.2134/agronmonogr44.c26.   DOI
96 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. with Comput., 1-15. https://doi.org/10.1007/s00366-021-01316-8.   DOI
97 Xu, J., Wu, Z., Chen, H., Shao, L., Zhou, X. and Wang, S. (2021c), "Study on strength behavior of basalt fiber-reinforced loess by digital image technology (DIT) and scanning electron microscope (SEM)", Arabian J. Sci. Eng., 46(11), 11319-11338. https://doi.org/10.1007/s13369-021-05787-1.   DOI
98 Esmailpoor Hajilak, Z., Pourghader, J., Hashemabadi, D., Sharifi Bagh, F., Habibi, M. and Safarpour, H. (2019), "Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory", Mech. Based Des. Struct., 47(5), 521-545. https://doi.org/10.1080/15397734.2019.1566743.   DOI
99 Tahir, S.I., Tounsi, A., Chikh, A., Al-Osta, M.A., Al-Dulaijan, S.U. and Al-Zahrani, M.M. (2021b), "An integral four-variable hyperbolic HSDT for the wave propagation investigation of a ceramic-metal FGM plate with various porosity distributions resting on a viscoelastic foundation", Waves in Random and Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1942310.   DOI
100 Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020e), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Semi-numerical and finite element modeling", Thin-Wall. Struct., 107242. https://doi.org/10.1016/j.tws.2020.107242.   DOI
101 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. with Comput., https://doi.org/10.1007/s00366-021-01391-x.   DOI
102 Yang, N., Moradi, Z., Khadimallah, M.A. and Arvin, H. (2022), "Application of the Chebyshev-Ritz route in determination of the dynamic instability region boundary for rotating nanocomposite beams reinforced with graphene platelet subjected to a temperature increment", Eng. Anal. Bound. Elem., 139 169-179. https://doi.org/10.1016/j.enganabound.2022.03.013.   DOI
103 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
104 Zhou, C., Zhao, Y., Zhang, J., Fang, Y. and Habibi, M. (2020), "Vibrational characteristics of multi-phase nanocomposite reinforced circular/annular system", Adv. Nano Res., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295.   DOI
105 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. Biomolecular Struct. Dyn., 1-12. https://doi.org/10.1080/07391102.2020.1751297.   DOI
106 Habibi, M., Hashemi, R., Ghazanfari, A., Naghdabadi, R. and Assempour, A. (2018a), "Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 232(8), 625-636. https://doi.org/10.1177/1464420716642258.   DOI
107 Tlidji, Y., Benferhat, R., Trinh, L.C., Tahar, H.D. and Abdelouahed, T. (2021), "New state-space approach to dynamic analysis of porous FG beam under different boundary conditions", Adv. Nano Res., 11(4), 347-359. https://doi.org/10.12989/anr.2021.11.4.347.   DOI
108 Wang, X., Yang, Y., Yang, R. and Liu, P. (2022), "Experimental Analysis of Bearing Capacity of Basalt Fiber Reinforced Concrete Short Columns under Axial Compression", Coatings. 12(5), 654. https://doi.org/10.3390/coatings12050654.   DOI
109 Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020), "Frequency and buckling responses of a high-speed rotating fiber metal laminated cantilevered microdisk", Mech. Adv. Mater. Struct., 1-14. https://doi.org/10.1080/15376494.2020.1824284.   DOI
110 Huang, H., Huang, M., Zhang, W. and Yang, S. (2021a), "Experimental study of predamaged columns strengthened by HPFL and BSP under combined load cases", Struct. Infrastruct. Eng., 17(9), 1210-1227. https://doi.org/10.1080/15732479.2020.1801768.   DOI
111 Habibi, M., Safarpour, M. and Safarpour, H. (2020), "Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods", Mech. Based Des. Struct., 1-22. https://doi.org/10.1080/15397734.2020.1779086   DOI
112 Hadji, L. and Avcar, M. (2021), "Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory", Adv. Nano Res., 10(3), 281-293. https://doi.org/10.12989/cac.2020.26.3.213.   DOI
113 Karami, B., Janghorban, M. and Tounsi, A. (2019a), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. with Comput., 35(4), 1297-1316. https://doi.org/10.1007/s00366-018-0664-9.   DOI
114 Issad, M.N., Fekrar, A., Bakora, A., Bessaim, A. and Tounsi, A. (2018), "Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory", Geomech. Eng., 15(1), 711-719. https://doi.org/10.12989/gae.2018.15.1.711.   DOI
115 Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021b), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.   DOI
116 Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021c), "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. with Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.   DOI
117 Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021d), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. with Comput., https://doi.org/10.1007/s00366-021-01320-y.   DOI
118 Liu, Y., Wang, C., Liu, X., Gao, R., Li, B. and Khan, K.U.J. (2021c), "Determination of embedded depth of soldier piles in pile-anchor supporting system in granite residual soil area", Geofluids, 2021. https://doi.org/10.1155/2021/5518233.   DOI
119 Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021d), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. with Comput., 1-23.
120 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.   DOI
121 Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S. (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
122 Chen, F., Chen, J., Duan, R., Habibi, M. and Khadimallah, M.A. (2022), "Investigation on dynamic stability and aeroelastic characteristics of composite curved pipes with any yawed angle", Compos. Struct., 115195. https://doi.org/10.1016/j.compstruct.2022.115195.   DOI
123 Feng, J., Chen, B., Sun, W. and Wang, Y. (2021), "Microbial induced calcium carbonate precipitation study using Bacillus subtilis with application to self-healing concrete preparation and characterization", Constr. Build. Mater., 280 122460.   DOI
124 Adamian, A., Safari, K.H., Sheikholeslami, M., Habibi, M., AlFurjan, M. and Chen, G. (2020), "Critical temperature and frequency characteristics of GPLs-reinforced composite Doubly curved panel", Appl. Sci., 10(9), 3251. https://doi.org/10.3390/app10093251.   DOI
125 Ebrahimi, F., Hosseini, S.H.S. and Selvamani, R. (2020b), "Thermo-electro-elastic nonlinear stability analysis of viscoelastic double-piezo nanoplates under magnetic field", Struct. Eng. Mech., 73(5), 565-584. https://doi.org/10.12989/sem.2020.73.5.565.   DOI
126 Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020c), "Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer", Eur. Phys. J. Plus, 135(2), 144. https://doi.org/10.1140/epjp/s13360-020-00217-x.   DOI
127 Fahsi, A., Tounsi, A., Hebali, H., Chikh, A., Adda Bedia, E. and Mahmoud, S. (2017), "A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates", Geomech. Eng., 13(3), 385-410. https://doi.org/10.12989/gae.2017.13.3.385.   DOI
128 Forsat, M., Musharavati, F., Eltai, E., Zain, A.M., Mobayen, S. and Mohamed, A.M. (2021), "Vibration characteristics of microplates with GNPs-reinforced epoxy core bonded to piezoelectric-reinforced CNTs patches", Adv. Nano Res., 11(2), 115-140. https://doi.org/10.12989/anr.2021.11.2.115.   DOI
129 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.   DOI
130 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.   DOI
131 Zerrouki, R., Karas, A., Zidour, M., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., Benrahou, K.H. and Mahmoud, S. (2021), "Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam", Struct. Eng. Mech., 78(2), 117-124. https://doi.org/10.12989/sem.2021.78.2.117.   DOI
132 Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. "Bending and stress responses of the hybrid axisymmetric system via state-space method and 3D-elasticity theory", Eng. with Comput., 1-23. https://doi.org/10.1007/s00366-020-01242-1.   DOI
133 Zheng, C.M., Zeng-hui, W. and Zhang, X. (2010), "Economic analysis of double-row piles in deep foundation pits in soft soils in coastal areas of Fujian Province", Chinese J. Geotech. Eng., 32(1), 317-320. https://doi.org/10.1007/s10064-016-0852-z.   DOI
134 Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021a), "Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell", Adv. Nano Res., 10(2), 175. https://doi.org/10.12989/anr.2021.10.2.175.   DOI
135 Chen, F., Jin, Z., Wang, E., Wang, L., Jiang, Y., Guo, P., Gao, X. and He, X. (2021b), "Relationship model between surface strain of concrete and expansion force of reinforcement rust", Scientific Reports. 11(1), 1-11. https://doi.org/10.1038/s41598-021-83376-w   DOI
136 Cheshmeh, E., Karbon, M., Eyvazian, A., Jung, D.w., Habibi, M. and Safarpour, M. (2020), "Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory", Mech. Based Des. Struct., 1-24. https://doi.org/10.1080/15397734.2020.1744005.   DOI
137 Dai, H. and Safarpour, H. (2021), "Frequency and thermal buckling information of laminated composite doubly curved open nanoshell", Adv. Nano Res., 10(1), 1-14. https://doi.org/10.12989/anr.2021.10.1.001   DOI
138 Dong, Y., Gao, Y., Zhu, Q., Moradi, Z. and Safa, M. (2022), "TEGDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring", Eng. Anal. Bound. Elem., 138, 95-107. https://doi.org/10.1016/j.enganabound.2022.01.017.   DOI
139 Ebrahimi, F., Habibi, M. and Safarpour, H. (2019a), "On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell", Eng. with Comput., 35(4), 1375-1389. https://doi.org/10.1007/s00366-018-0669-4.   DOI
140 Ghamkhar, M., Khadimallah, M.A., Iqbal, M.Z., Hussain, M., Yahya, A., Khedher, K.M., Naeem, M.N. and Tounsi, A. (2021), "Performance of FGM bilayered cylindrical shell placed on cantilever edge", Adv. Nano Res., 11(4), 339-345. https://doi.org/10.12989/anr.2021.11.4.339.   DOI
141 Guo, J., Baharvand, A., Tazeddinova, D., Habibi, M., Safarpour, H., Roco-Videla, A. and Selmi, A. (2021a), "An intelligent computer method for vibration responses of the spinning multilayer symmetric nanosystem using multi-physics modeling", Eng. with Comput., 1-22. https://doi.org/10.1007/s00366-021-01433-4.   DOI
142 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", Waves Random Complex Media, 1-27. https://doi.org/10.1080/17455030.2019.1662968.   DOI
143 He, X., Ding, J., Habibi, M., Safarpour, H. and Safarpour, M. (2021), "Non-polynomial framework for bending responses of the multi-scale hybrid laminated nanocomposite reinforced circular/annular plate", Thin-Wall. Struct., 166, 108019. https://doi.org/10.1016/j.tws.2021.108019.   DOI
144 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. with Comput., 1-19. https://doi.org/10.1007/s00366-021-01456-x.   DOI
145 Karami, B., Janghorban, M. and Tounsi, A. (2019b), "On pre-stressed functionally graded anisotropic nanoshell in magnetic field", J. Braz. Soc. Mech. Sci. Eng., 41(11), 1-17. https://doi.org/10.1007/s40430-019-1996-0.   DOI
146 Wei, J., Xie, Z., Zhang, W., Luo, X., Yang, Y. and Chen, B. (2021), "Experimental study on circular steel tube-confined reinforced UHPC columns under axial loading", Eng. Struct., 230, 111599. https://doi.org/10.1016/j.engstruct.2020.111599.   DOI
147 Guellil, M., Saidi, H., Bourada, F., Bousahla, A.A., Tounsi, A., Al-Zahrani, M.M., Hussain, M. and Mahmoud, S. (2021), "Influences of porosity distributions and boundary conditions on mechanical bending response of functionally graded plates resting on Pasternak foundation", Steel Compos. Struct., 38(1), 1-15. https://doi.org/10.12989/scs.2021.38.1.001.   DOI
148 Ebrahimi, F., Hajilak, Z.E., Habibi, M. and Safarpour, H. (2019b), "Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323.   DOI
149 Habibi, M., Hashemi, R., Tafti, M.F. and Assempour, A. (2018b), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manufact. Processes, 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
150 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", Scientific Reports, 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.   DOI
151 Habibi, M., Darabi, R., Sa, J.C.D. and Reis, A. (2021), "An innovation in finite element simulation via crystal plasticity assessment of grain morphology effect on sheet metal formability", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686.   DOI