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Effect of cross-section geometry on the stability performance of functionally graded cylindrical imperfect composite structures used in stadium construction

  • Ying Yang (College of Universal Quality Education, Wuchang University of Technology) ;
  • Yike Mao (Department of Physical Education, Wuhan University of Technology)
  • 투고 : 2023.03.03
  • 심사 : 2023.09.04
  • 발행 : 2023.10.25

초록

The primary objective of this study is to examine the influence of geometry on the stability characteristics of cylindrical microstructures. This investigation entails a stability analysis of a bi-directional functionally graded (BD-FG) cylindrical imperfect concrete beam, focusing on the impact of geometry. Both the first-order shear deformation beam theory and the modified coupled stress theory are employed to explore the buckling and dynamic behaviors of the structure. The cylinder-shaped imperfect beam is constructed using a porosity-dependent functionally graded (FG) concrete material, wherein diverse porosity voids and material distributions are incorporated along the radial axis of the beam. The radius functions are considered in both uniform and nonuniform variations, reflecting their alterations along the length of the beam. The combination of these characteristics leads to the creation of BD-FG configurations. In order to enable the assessment of stability using energy principles, a numerical technique is utilized to formulate the equations for partial derivatives (PDEs).

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참고문헌

  1. Akgoz, B. and Civalek, O. (2011), "Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories", J. Comput. Theor. Nanosci., 8(9), 1821-1827. https://doi.org/10.1166/jctn.2011.1888.
  2. Amiri Delouei, A., Emamian, A., Karimnejad, S. and Sajjadi, H. (2019a), "A closed-form solution for axisymmetric conduction in a finite functionally graded cylinder", Int. Commun. Heat Mass Transfer., 108, 104280. https://doi.org/10.1016/j.icheatmasstransfer.2019.104280.
  3. Amiri Delouei, A., Emamian, A., Karimnejad, S., Sajjadi, H. and Jing, D. (2020), "Two-dimensional analytical solution for temperature distribution in FG hollow spheres: General thermal boundary conditions", Int. Commun. Heat Mass Transfer., 113, 104531. https://doi.org/10.1016/j.icheatmasstransfer.2020.104531.
  4. Amiri Delouei, A., Emamian, A., Karimnejad, S., Sajjadi, H. and Tarokh, A. (2019b), "On 2D asymmetric heat conduction in functionally graded cylindrical segments: A general exact solution", Int. J. Heat Mass Transfer., 143 118515. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118515.
  5. Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2016), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys. A., 123(1), 104. https://doi.org/10.1007/s00339-016-0712-5.
  6. Cai, J., Pan, J., Li, G. and Elchalakani, M. (2023), "Behaviors of eccentrically loaded ECC-encased CFST columns after fire exposure", Eng. Struct., 289, 116258. https://doi.org/10.1016/j.engstruct.2023.116258.
  7. Cheng, F., Niu, B., Xu, N., Zhao, X. and Ahmad, A.M. (2023), "Fault detection and performance recovery design With deferred actuator replacement via a low-computation method", IEEE T. Automat. Sci. Eng., 1-11. https://doi.org/10.1109/TASE.2023.3300723.
  8. Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021), "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.
  9. Dehghanbanadaki, A., Rashid, A.S.A., Ahmad, K., Yunus, N.Z.M. and Said, K.N.M. (2022), "A computational estimation model for the subgrade reaction modulus of soil improved with DCM columns", Geomech. Eng., 28(4), 385-396. https://doi.org/10.12989/gae.2022.28.4.385.
  10. Delouei, A.A., Emamian, A., Karimnejad, S., Sajjadi, H. and Jing, D. (2020), "Asymmetric conduction in an infinite functionally graded cylinder: Two-dimensional exact analytical solution under general boundary conditions", J. Heat Transfer., 142(4). https://doi.org/10.1115/1.4046306.
  11. Ebrahimi, F., Shafiei, N., Kazemi, M. and Mousavi Abdollahi, S.M. (2017), "Thermo-mechanical vibration analysis of rotating nonlocal nanoplates applying generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(15), 1257-1273. https://doi.org/10.1080/15376494.2016.1227499.
  12. Ehyaei, J., Akbarshahi, A. and Shafiei, N. (2017), "Influence of porosity and axial preload on vibration behavior of rotating FG nanobeam", Adv. nano Res., 5(2), 141-169. https://doi.org/10.12989/anr.2017.5.2.141.
  13. Emamian, A., Amiri Delouei, A., Karimnejad, S. and Sajadi, H. (2021), "Analytical Solution of Heat Transfer in a Cone Made of Functionally Graded Material", Amirkabir J. Mech. Eng., 53(1), 539-552. https://doi.org/10.22060/mej.2019.16288.6320.
  14. Farajpour, A., Farokhi, H. and Ghayesh, M.H. (2019), "Mechanics of fluid-conveying microtubes: Coupled buckling and post-buckling", Vibration, 2(1), 102-115. https://doi.org/10.3390/vibration2010007.
  15. Ghadiri, M., Hosseini, S.H.S. and Shafiei, N. (2016a), "A power series for vibration of a rotating nanobeam with considering thermal effect", Mechanics of Advanced Materials and Structures. 23(12), 1414-1420. https://doi.org/10.1080/15376494.2015.1091527.
  16. Ghadiri, M., Shafiei, N. and Alavi, H. (2017a), "Thermomechanical vibration of orthotropic cantilever and propped cantilever nanoplate using generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(8), 636-646. https://doi.org/10.1080/15376494.2016.1196770.
  17. Ghadiri, M., Shafiei, N. and Alireza Mousavi, S. (2016b), "Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM", Appl. Phys. A. 122(9), 837. https://doi.org/10.1007/s00339-016-0364-5.
  18. Ghadiri, M., Shafiei, N. and Babaei, R. (2017b), "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects", Steel Compos. Struct., 25(2), 197-207. https://doi.org/10.12989/scs.2017.25.2.197.
  19. Ghadiri, M., Shafiei, N. and Hossein Alavi, S. (2017c), "Vibration analysis of a rotating nanoplate using nonlocal elasticity theory", J. Solid Mech., 9(2), 319-337. https://jsm.arak.iau.ir/article_531824_c4e4e72f55b3a3a2cde7fda2f9b20ed3.pdf.
  20. Ghadiri, M., Shafiei, N., Salekdeh, S.H., Mottaghi, P. and Mirzaie, T. (2016c), "Investigation of the dental implant geometry effect on stress distribution at dental implant-bone interface", J. Braz. Soc. Mech. Sci. Eng., 38(2), 335-343. https://doi.org/10.1007/s40430-015-0472-8.
  21. Ghannadpour, S.A.M. and Mohammadi, B. (2010), "Buckling analysis of micro- and nano-rods/tubes based on nonlocal timoshenko beam theory using chebyshev polynomials", Adv. Mater. Res., 123-125 619-622. https://doi.org/10.4028/www.scientific.net/AMR.123-125.619.
  22. Guo, J., Baharvand, A., Tazeddinova, D., Habibi, M., Safarpour, H., Roco-Videla, A. and Selmi, A. (2021), "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.
  23. Guo, S., Zhao, X., Wang, H. and Xu, N. (2023), "Distributed consensus of heterogeneous switched nonlinear multi-agent systems with input quantization and DoS attacks", Appl. Math. Comput., 456, 128127. https://doi.org/10.1016/j.amc.2023.128127.
  24. Hayati, Y. and Eskandari-Ghadi, M. (2018), "Three-dimensional coupled thermoelastodynamic stress and flux induced wave propagation for isotropic half-space with scalar potential functions", Zeitschrift fur angewandte Mathematik und Physik. 69(1), 1-32. https://doi.org/10.1007/s00033-018-0910-4.
  25. Hayati, Y., Eskandari-Ghadi, M., Raoofian, M., Rahimian, M. and Ardalan, A.A. (2013), "Dynamic Green's functions of an axisymmetric thermoelastic half-space by a method of potentials", J. Eng. Mech., 139(9), 1166-1177. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000540.
  26. Hayati, Y., Eslami, A. and Havaei, G. (2021), "Asymmetric 3D stress-and flux-induced wave propagation in transversely isotropic thermoelastic solids by using of analytical methods", Waves in Random and Complex Media. 1-18. https://doi.org/10.1080/17455030.2021.2000671.
  27. He, F., Amiri Delouei, A., Ellahi, R., Alamri, S.Z., Emamian, A. and Ghorbani, S. (2023), "Unsteady temperature distribution in a cylinder made of functionally graded materials under circumferentially-varying convective heat transfer boundary conditions", https://doi.org/10.1515/zna-2023-0039.
  28. He, Y. and Cai, Y. (2021), "Influence of cross-section on the linear and nonlinear buckling analysis of imperfect functionally graded micro-tubes", Mech. Based Des. Struct. Machines, 1-22. https://doi.org/10.1080/15397734.2021.1956330.
  29. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021a), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Eng. with Comput., https://doi.org/10.1007/s00366-021-01456-x.
  30. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021b), "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.
  31. Huang, H., Yao, Y., Zhang, W. and zhou, L. (2023a), "A push-out test on partially encased composite column with different positions of shear studs", Eng. Struct., 289, 116343. https://doi.org/10.1016/j.engstruct.2023.116343.
  32. Huang, S., Zong, G., Wang, H., Zhao, X. and Alharbi, K.H. (2023b), "Command filter-based adaptive fuzzy self-triggered control for MIMO nonlinear systems with time-varying full-state constraints", Int. J. Fuzzy Syst., https://doi.org/10.1007/s40815-023-01560-8.
  33. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021), "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.
  34. Huang, Y., Zhang, M. and Rong, H. (2016), "Buckling analysis of axially functionally graded and non-uniform beams based on timoshenko theory", Acta Mechanica Solida Sinica. 29(2), 200-207. https://doi.org/10.1016/S0894-9166(16)30108-2.
  35. Jiao, P., Borchani, W., Hasni, H., Alavi, A.H. and Lajnef, N. (2016), "Post-buckling response of non-uniform cross-section bilaterally constrained beams", Mech. Res. Commun., 78, 42-50. https://doi.org/10.1016/j.mechrescom.2016.09.012.
  36. Kabir, A.M.R., Inoue, D., Afrin, T., Mayama, H., Sada, K. and Kakugo, A. (2015), "Buckling of Microtubules on a 2D Elastic Medium", Scientific Reports. 5(1), 17222. https://doi.org/10.1038/srep17222.
  37. Kim, J., Zur, K.K. and Reddy, J.N. (2019), "Bending, free vibration, and buckling of modified couples stress-based functionally graded porous micro-plates", Compos. Struct., 209, 879-888. https://doi.org/10.1016/j.compstruct.2018.11.023.
  38. Li, D., Nie, J.H., Wang, H., Yan, J.B., Hu, C.X. and Shen, P. (2023a), "Damage location, quantification and characterization of steel-concrete composite beams using acoustic emission", Eng. Struct., 283, 115866. https://doi.org/10.1016/j.engstruct.2023.115866.
  39. Li, J., Liu, Y. and Lin, G. (2023b), "Implementation of a coupled FEM-SBFEM for soil-structure interaction analysis of largescale 3D base-isolated nuclear structures", Comput. Geotech., 162 105669. https://doi.org/10.1016/j.compgeo.2023.105669.
  40. Li, L. and Hu, Y. (2015), "Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory", Int. J. Eng. Sci., 97, 84-94. https://doi.org/10.1016/j.ijengsci.2015.08.013.
  41. Li, Z.Z., Zhu, T., Xiao, S.N., Zhang, J.K., Wang, X.R. and Ding, H.X. (2023c), "Simulation method for train curve derailment collision and the effect of curve radius on collision response", Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit. 09544097231154313. https://doi.org/10.1177/09544097231154313.
  42. Liu, Z., Su, S., Xi, D. and Habibi, M. (2020), "Vibrational responses of a MHC viscoelastic thick annular plate in thermal environment using GDQ method", Mech. Based Des. Struc., 1-26. https://doi.org/10.1080/15397734.2020.1784201.
  43. Mohammadi, A., Ebadi, T. and Boroomand, M.R. (2020), "Interface shear between different oil-contaminated sand and construction materials", Geomech. Eng., 20(4), 299-312. https://doi.org/10.12989/gae.2020.20.4.299.
  44. Mousavi, S.M., Shafiei, N. and Dadvand, A. (2017), "Numerical simulation of subsonic turbulent flow over NACA0012 airfoil: evaluation of turbulence models", Sigma J. Eng. Nat. Sci., 35(1), 133-155. https://dergipark.org.tr/en/pub/sigma/issue/65585/1016455. 1016455
  45. Naeeni, M.R., Eskandari-Ghadi, M., Ardalan, A., Pak, R., Rahimian, M. and Hayati, Y. (2015), "Coupled thermoviscoelastodynamic Green's functions for bi-material half-space", ZAMM-J. Appl Math. Mechanics/Zeitschrift fur Angewandte Mathematik und Mechanik. 95(3), 260-282. https://doi.org/10.1002/zamm.201200135.
  46. Omidi, S., Oskooee, M.B. and Shafiei, N. (2013), "Finite element analysis of an ultra-fine grained Titanium dental implant covered by different thicknesses of hydroxyapatite layer", Indian J. Dentistry, 4(1), 1-4. https://doi.org/10.1016/j.ijd.2012.10.002.
  47. Raoofian Naeeni, M., Eskandari-Ghadi, M., Ardalan, A.A., Rahimian, M. and Hayati, Y. (2013), "Analytical solution of coupled thermoelastic axisymmetric transient waves in a transversely isotropic half-space", J. Appl. Mech., 80(2). https://doi.org/10.1115/1.4007786.
  48. Shafiei, N., Ghadiri, M., Makvandi, H. and Hosseini, S.A. (2017), "Vibration analysis of Nano-Rotor's Blade applying Eringen nonlocal elasticity and generalized differential quadrature method", Appl. Math. Model., 43, 191-206. https://doi.org/10.1016/j.apm.2016.10.061.
  49. Shafiei, N., Hamisi, M. and Ghadiri, M. (2020), "Vibration analysis of rotary tapered axially functionally graded timoshenko nanobeam in thermal environment", J. Solid Mech., 12(1), 16-32. https://doi.org/10.22034/jsm.2019.563759.1273.
  50. Shafiei, N. and Kazemi, M. (2017), "Nonlinear buckling of functionally graded nano-/micro-scaled porous beams", Compos. Struct., 178 483-492. https://doi.org/10.1016/j.compstruct.2017.07.045.
  51. Shafiei, N., Kazemi, M. and Ghadiri, M. (2016), "Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen's nonlocal elasticity and DQM", Appl. Phys. A. 122(8), 728. https://doi.org/10.1007/s00339-016-0245-y.
  52. Shahabinejad, E., Shafiei, N. and Ghadiri, M. (2018), "Influence of temperature change on modal analysis of rotary functionally graded nano-beam in thermal environment", J. Solid Mech., 10(4), 779-803. https://jsm.arak.iau.ir/article_545719.html.
  53. 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.
  54. Shivanian, E., Ghadiri, M. and Shafiei, N. (2017), "Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation", Appl. Phys. A., 123(5), 329. https://doi.org/10.1007/s00339-017-0955-9.
  55. Tahmasebinia, F., Yip, C.S., Lok, C.F., Sun, Y., Wu, J., Sepasgozar, S.M.E. and Marroquin, F.A. (2022), Dynamic Behavior of the Composite Steel-Concrete Beam Floor Systems under Free and Forced Vibration,
  56. Tang, F., Wang, H., Zhang, L., Xu, N. and Ahmad, A.M. (2023), "Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults", Commun. Nonlinear Sci. Numer. Simul., 126, 107446. https://doi.org/10.1016/j.cnsns.2023.107446.
  57. Ugurlu, O.F. and Ozturk, C.A. (2021), "Experimental investigation for the use of tailings as paste-fill material through design of experiment", Geomech. Eng., 26(5), 465. https://doi.org/10.12989/gae.2021.26.5.465.
  58. Wang, H., Zhang, X. and Wang, M. (2023a), "Rapid texture depth detection method considering pavement deformation calibration", Measurement, 217, 113024. https://doi.org/10.1016/j.measurement.2023.113024.
  59. Wang, P., Gao, Z., Pan, F., Moradi, Z., Mahmoudi, T. and Khadimallah, M.A. (2022), "A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bidirectional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory", Eng. Anal. Bound. Elem., 143, 124-136. https://doi.org/10.1016/j.enganabound.2022.06.007.
  60. Wang, T., Zhou, G., Wang, J. and Wang, D. (2020a), "Impact of spatial variability of geotechnical properties on uncertain settlement of frozen soil foundation around an oil pipeline", Geomech. Eng., 20(1), 19-28. https://doi.org/10.12989/gae.2020.20.1.019.
  61. Wang, Y., Jia, Q. and Deng, T. (2023b), "The role of nanotechnology in reducing the impact on the ball and increasing the speed of its movement", Geomech. Eng., 32(5), 463-474. https://doi.org/10.12989/gae.2023.32.5.463.
  62. Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020b), "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.
  63. Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultrafast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-021-01396-6.
  64. Wu, M., Ba, Z. and Liang, J. (2022), "A procedure for 3D simulation of seismic wave propagation considering source-path-site effects: Theory, verification and application", Earthq. Eng. Struct. D., 51(12), 2925-2955. https://doi.org/10.1002/eqe.3708.
  65. Wu, W., Xu, N., Niu, B., Zhao, X. and Ahmad, A.M. (2023a), Low-Computation Adaptive Saturated Self-Triggered Tracking Control of Uncertain Networked Systems,
  66. Wu, Z., Huang, B., Fan, J. and Chen, H. (2023b), "Homotopy based stochastic finite element model updating with correlated static measurement data", Measurement, 210, 112512. https://doi.org/10.1016/j.measurement.2023.112512.
  67. Xiang, P. and Liew, K.M. (2011), "Predicting buckling behavior of microtubules based on an atomistic-continuum model", Int. J. Solids Struct., 48(11), 1730-1737. https://doi.org/10.1016/j.ijsolstr.2011.02.022.
  68. Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021), "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.
  69. Yang, F., Chong, A.C.M., Lam, D.C.C. and Tong, P. (2002), "Couple stress based strain gradient theory for elasticity", Int. J. Solids Struct., 39(10), 2731-2743. https://doi.org/10.1016/S0020-7683(02)00152-X.
  70. Yang, J. and Shen, H.S. (2002), "Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments", J. Sound Vib., 255(3), 579-602. https://doi.org/10.1006/jsvi.2001.4161.
  71. Yang, K., Guan, J., Numata, K., Wu, C., Wu, S., Shao, Z. and Ritchie, R.O. (2019), "Integrating tough Antheraea pernyi silk and strong carbon fibres for impact-critical structural composites", Nature Commun., 10(1), 3786. https://doi.org/10.1038/s41467-019-11520-2.
  72. Yang, Y., Lin, B. and Zhang, W. (2023), "Experimental and numerical investigation of an arch-beam joint for an arch bridge", Arch. Civil Mech. Eng., 23(2), 101. https://doi.org/10.1007/s43452-023-00645-3.
  73. Yang, Z., Xu, J., Feng, Q., Liu, W., He, P. and Fu, S. (2022), "Elastoplastic analytical solution for the stress and deformation of the surrounding rock in cold region tunnels considering the influence of the temperature field", Int. J. Geomech., 22(8), 04022118. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002466.
  74. Yao, Y., Zhou, L., Huang, H., Chen, Z. and Ye, Y. (2023), "Cyclic performance of novel composite beam-to-column connections with reduced beam section fuse elements", Structures, 50, 842-858. https://doi.org/10.1016/j.istruc.2023.02.054.
  75. Yu, H., Zhang, J., Fang, M., Ma, T., Wang, B., Zhang, Z., Hu, Z., Li, H., Cao, X., Ding, C., Deng, H. and Yang, K. (2023), "Bioinspired strip-shaped composite composed of glass fabric and waste selvedge from A. pernyi silk for lightweight and high-impact applications", Compos. Part A: Appl. Sci. Manufact., 174 107715. https://doi.org/10.1016/j.compositesa.2023.107715.
  76. Zhang, C. (2023), "The active rotary inertia driver system for flutter vibration control of bridges and various promising applications", Science China Technol. Sci., 66(2), 390-405. https://doi.org/10.1007/s11431-022-2228-0.
  77. Zhao, Y., Niu, B., Zong, G., Zhao, X. and Alharbi, K.H. (2023), "Neural network-based adaptive optimal containment control for non-affine nonlinear multi-agent systems within an identifier-actor-critic framework", J. Franklin Inst., 360(12), 8118-8143. https://doi.org/10.1016/j.jfranklin.2023.06.014.
  78. 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.
  79. Zhou, F., Jiang, H., Huang, L., Hu, Y., Xie, Z., Zeng, Z., Liu, M., Wang, B. and Zhou, X. (2023), Early Shrinkage Modeling of Complex Internally Confined Concrete Based on Capillary Tension Theory.