Nonlinear interfacial contact laws in multi-layer elastic-viscoelastic structural systems
Email:
tranhung@lqdtu.edu.vn
Từ khóa:
Nonlinear interfacial laws, homogenization, micro-crack, viscoelastic
Tóm tắt
Layered structures are widely used in construction, such as pavement structures consisting of multiple layers of different materials or interfaces between bricks and mortar in masonry structures, etc. In analyzing such structures, understanding the properties of the interface between two layers of materials is essential. If one layer of material contains cracks and layers exhibit viscoelastic behavior, determining the properties of the interface becomes challenging. This study proposes a constitutive mechanical law to model the behavior of the interface between a microcracked viscoelastic medium and an undamaged elastic body based on the homogenization method. The interface is modeled by a layer of zero thickness. The coupling between the homogenization technique and the Griffith’s theory is used to provide the effective behavior of the micro-cracked medium. The interface is modelled as an effective medium (EF) characterized by normal and tangential stiffnesses (CN, CT ). In this work, two viscoelastic models are considered, i.e., Burger and Modified Maxwell. The formulas of CN and CT for two cases of crack distributions (isotropic and transversely isotropic) are obtained by asymptotic techniques where the thickness of the joint tends to zeroTài liệu tham khảo
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[2]. J. Zhang, K. Chaisombat, S. He, C. H. Wang, Hybrid composite laminates reinforced with glass/carbon woven fabrics for lightweight load bearing structures, Mater Design, 36 (2012) 75-80. https://doi.org/10.1016/j.matdes.2011.11.006
[3]. T. T. N. Nguyen, N. H. Tran, Modelling of contact interface between two material layers in hybrid structures. Transport and Communications Science Journal, 71 (2020) 419-430. https://doi.org/10.25073/tcsj.71.4.10
[4]. P. A. Teeuwen, C. S. Kleinman, H. H. Snijder, H. Hofmeyer, Experiments and FE-model for a connection between steel frames and precast concrete infill panels (Stuttgart), 2nd International Symposium on Connections between Steel and Concrete, 2007 Sep 04-07, Ibidem-Verlag (2007), 1093-1102.
[5]. H. Tan, Y. Huang, C. Liu, P. H. Geubelle, The Mori–Tanaka method for composite materials with nonlinear interface debonding, Int J Plasticity, 21 (2005) 1890-1918. https://doi.org/10.1016/j.ijplas.2004.10.001
[6]. J. W. Giancapro, C. G. Papakonstantinou, P. N. Balagura. Flexural response of inorganic hybrid composites with E-glass and carbon fibers, J Eng Mater Technol, 132 (2010) 1–8. https://doi.org/10.1115/1.4000670
[7]. Z. I. Djamai, M. Bahrar, F. Salvatore, A.S. Larbi, M. El Mankibi, Textile reinforced concrete multiscale mechanical modelling: Application to TRC sandwich panels, Finite Elem Anal Des, 135 (2017) 22-35. https://doi.org/10.1016/j.finel.2017.07.003
[8]. M. Dhanasekar, A.W. Page, P.W. Kleeman, The failure of brick masonry under biaxial stresses, Proceedings of the Institution of Civil Engineers, 79 (1985) 295–313. https://doi.org/10.1680/iicep.1985.992
[9]. L. H. Sneed, T. D’Antino, C. Carloni, Investigation of bond behavior of PBO fiber-reinforced cementitious matrix composite-concrete interface, ACI Mater J, 111 (2014) 569-580.
[10]. O. Awani, T. El-Maaddawy, N. Ismail, Fabric-reinforced cementitious matrix: A promising strengthening technique for concrete structures, Constr Build Mater, 132 (2017) 94-111. https://doi.org/10.1016/j.conbuildmat.2016.11.125
[11]. F. de Andrade Silva, M. Butler, S. Hempel, R. D. Toledo Filho, V. Mechtcherine, Effects of elevated temperatures on the interface properties of carbon textile-reinforced concrete, Cement Concrete Comp, 48 (2014) 26-34. https://doi.org/10.1016/j.cemconcomp.2014.01.007
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[15]. S. M. Raoof, L. N. Koutas, D. A. Bournas, Bond between textile-reinforced mortar (TRM) and concrete substrates: experimental investigation, Compo Part B-Eng, 98 (2016) 350-361. https://doi.org/10.1016/j.compositesb.2016.05.041
[16]. I. Carol, C. M. Lopez, O. Roa, Micromechanical analysis of quasi-brittle materials using fracture‐based interface elements, Int J Numer Meth Eng, 52 (2001) 193-215. https://doi.org/10.1002/nme.277
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[20]. N. Ranganathan, K. Oksman, S. K. Nayak, M. Sain, Structure property relation of hybrid biocomposites based on jute, viscose and polypropylene: The effect of the fibre content and the length on the fracture toughness and the fatigue properties, Compos Part A-Appl S, 83 (2016) 169-175. https://doi.org/10.1016/j.compositesa.2015.10.037
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[28]. A. Rekik, T. T. N. Nguyen, A. Gasser, Multi-level modeling of viscoelastic microcracked masonry, Int. J. Solids. Stru., 81 (2016) 63-83. https://doi.org/10.1016/j.ijsolstr.2015.11.002
[29]. S. T. Nguyen, Propagation de fissures et endommagement par microfissures des matériaux viscoélastiques linéaires non vieillissants, Université Paris-Est, 2010, PhD dissertation.
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12/04/2024
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06/05/2024
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Kiểu trích dẫn
Tran Nam, H., & Nguyen Thi Thu, N. (1715706000). Nonlinear interfacial contact laws in multi-layer elastic-viscoelastic structural systems. Tạp Chí Khoa Học Giao Thông Vận Tải, 75(4), 1529-1543. https://doi.org/10.47869/tcsj.75.4.5
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