Abstract
In this study, the dynamic properties of a mixture of granulated rubber and locally sourced Xiong’an clay are investigated, to promote the beneficial use of rubber–clay mixture (RCM) as a seismic isolation material in this area. A series of cyclic triaxial tests in the shear strain range of 10–4 ~ 10–2 is conducted, considering various scenarios of granulated rubber content, effective confining pressure, water content, dry density, cycle number, and consolidation time. The influences of these factors on the dynamic shear modulus and damping ratio of RCM are investigated and dominant factors are revealed. The results show that the shear modulus of RCM decreases with increasing rubber and water content whereas an opposite trend appears for the increased confining pressure, dry density, and consolidation time. Rubber content appears to be a dominant factor for the normalized shear modulus. The damping ratio of RCM is significantly related to the rubber content and effective confining pressure. A shear strain threshold of about 0.3% is observed concerning the influence of rubber content on the damping ratio. The G/Gmax ~ γ and D ~ γ curves of RCM can be well described by the Hardin–Drnevich model. Based on the test results, correlations of the parameters of the Hardin–Drnevich model with rubber content and effective confining pressure are developed. The proposed empirical formulas can provide a useful guide in the estimation of dynamic properties of RCM for the preliminary design calculations before detailed laboratory measurements have been performed in the study area.
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All data used during the study are available from the corresponding author by request.
References
Tafreshi SNM, Mehrjardi GT, Dawson AR (2012) Buried pipes in rubber-soil backfilled trenches under cyclic loading. J Geotech Geoenviron 138(11):1346–1356. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000710
Moo-Young H, Sellasie K, Zeroka D, Sabnis G (2003) Physical and chemical properties of recycled tire shreds for use in construction. J Environ Eng 129(10):921–929. https://doi.org/10.1061/(ASCE)0733-9372(2003)129:10(921)
Zhou E, Cui L, Zuo X, Wang L (2023) Dynamic behaviour of pipe protected by rubber–soil mixtures. Geosynth Int 30(3):1751–7613. https://doi.org/10.1680/jgein.21.00071
Lee JS, Dodds J, Santamarina JC (2007) Behavior of rigid-soft particle mixtures. J Mater Civil Eng 19(2):179–184. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:2(179)
Hazarika H, Kohama E, Sugano T (2008) Underwater shake table tests on waterfront structures protected with tire chips cushion. J Geotech Geoenviron 134(12):1706–1719. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:12(1706)
Bandyopadhyay S, Sengupta A, Reddy GR (2015) Performance of sand and shredded rubber tire mixture as a natural base isolator for earthquake protection. Earthq Eng Eng Vib 14(4):683–693. https://doi.org/10.1007/s11803-015-0053-y
Pitilakis K, Karapetrou S, Tsagdi K (2015) Numerical investigation of the seismic response of RC buildings on soil replaced with rubber–sand mixtures. Soil Dyn Earthq Eng 79:237–252. https://doi.org/10.1016/j.soildyn.2015.09.018
Sun QQ, Hou MH, Dias D (2024) Numerical study on the use of soft material walls to enhance seismic performance of an existing tunnel. Undergr Space 15:90–112. https://doi.org/10.1016/j.undsp.2023.08.009
Pistolas GA, Anastasiadis A, Pitilakis K (2017) Dynamic behaviour of granular soil materials mixed with granulated rubber: effect of rubber content and granularity on the small-strain shear modulus and damping ratio. Geotech Geol Eng 36(2):1267–1281. https://doi.org/10.1007/s10706-017-0391-9
Senetakis K, Anastasiadis A, Pitilakis K (2012) Dynamic properties of dry sand/rubber (SRM) and gravel/rubber (GRM) mixtures in a wide range of shearing strain amplitudes. Soil Dyn Earthq Eng 33(1):38–53. https://doi.org/10.1016/j.soildyn.2011.10.003
Sarajpoor S, Kavand A, Zogh P, Ghalandarzadeh A (2020) Dynamic behavior of sand-rubber mixtures based on hollow cylinder tests. Constr Build Mater 251:118948. https://doi.org/10.1016/j.conbuildmat.2020.118948
Madhusudhan BR, Boominathan A, Banerjee S (2017) Static and large-strain dynamic properties of sand–rubber tire shred mixtures. J Mater Civil Eng. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002016
Edinçliler A, Yildiz O (2021) Effects of processing type on the shear modulus and damping ratio of waste tire-sand mixtures. Geosynth Int 29(4):389–408. https://doi.org/10.1680/jgein.21.00008a
Bahadori H, Farzlizadeh R (2018) Dynamic properties of saturated sands mixed with tyre powders and tyre shreds. Int J Civ Eng 16(4):395–408. https://doi.org/10.1007/s40999-016-0136-9
Ehsani M, Shariatmadari N, Mirhosseini SM (2015) Shear modulus and damping ratio of sand-granulated rubber mixtures. J Cent South Univ 22(8):3159–3167. https://doi.org/10.1007/s11771-015-2853-7
Nakhaei A, Maraandi SM, Kermani SS, Bagheripour MH (2012) Dynamic properties of granular soils mixed with granulated rubber. Soil Dyn Earthq Eng 43:124–132. https://doi.org/10.1016/j.soildyn.2012.07.026
Wang L, Xiao X, Ji W, Aimable I, Wang B, Sun K (2021) Dynamic properties of the mucky clay improved with the steel slag and the rubber particles. Constr Build Mater 294:123489. https://doi.org/10.1016/j.conbuildmat.2021.123489
Wang Z, Mei G (2012) Dynamic properties of rubber cement stabilized soil based on resonant column tests. Mar Georesour Geotechnol 30(4):333–346. https://doi.org/10.1080/1064119X.2011.631693
Chen K, Wang Q, Luo D, Zhou B, Zhang K (2020) Study on dynamic characteristics of rubber-red clay mixtures. Adv Mater Sci Eng 2020:11. https://doi.org/10.1155/2020/2343242
Akbarimehr D, Fakharian K (2021) Dynamic shear modulus and damping ratio of clay mixed with waste rubber using cyclic triaxial apparatus. Soil Dyn Earthq Eng 140:106435. https://doi.org/10.1016/j.soildyn.2020.106435
Rios S, Kowalska M, da Fonseca AV (2021) Cyclic and dynamic behavior of sand–rubber and clay–rubber mixtures. Geotech Geol Eng 39(5):1–19. https://doi.org/10.1007/S10706-021-01704-3
GB/T 50123 (2019) Standard for geotechnical testing method. China Planning Press, Beijing, pp 8–15
Kumar SS, Krishna AM, Dey A (2017) Evaluation of dynamic properties of sandy soil at high cyclic strains. Soil Dyn Earthq Eng 99:157–167. https://doi.org/10.1016/j.soildyn.2017.05.016
Wu Q, Ma WJ, Liu Q, Zhao K, Chen G (2021) Dynamic shear modulus and damping ratio of rubber-sand mixtures with a wide range of rubber content. Mater Today Commun 27(2):102341. https://doi.org/10.1016/j.mtcomm.2021.102341
Anastasiadis A, Senetakis K, Pitilakis K (2012) Small-strain shear modulus and damping ratio of sand-rubber and gravel-rubber mixtures. Geotech Geol Eng 30(2):363–382. https://doi.org/10.1007/s10706-011-9473-2
Brara A, Brara A, Daouadji A, Bali A, Daya EM (2017) Dynamic properties of dense sand-rubber mixtures with small particles size ratio. Eur J Environ Civ En 21(9):1–15. https://doi.org/10.1080/19648189.2016.1139509
Edincliler A, Cabalar AF, Cevik A (2013) Modelling dynamic behaviour of sand–waste tires mixtures using neural networks and neuro-Fuzzy. Eur J Environ Civ Eng 17(8):720–741. https://doi.org/10.1080/19648189.2013.814552
Wang LY, Zhou YJ, Yan JT, Wang BH, Jing HJ (2019) Experiment of dynamic shear modulus and damping ratio of new geo-filler composed of gravel steel slag and rubble particles. China J Highw Transp 32(7):31–40. https://doi.org/10.19721/j.cnki.1001-7372.2019.07.004
Liu FC, Yao WY, Bu GB, Jing LP, Bin J (2020) Effect of particle size ratio of rubber to sand on small strain dynamic characteristics of rubber-sand mixtures. Chinese J Geotech Eng 42(09):1669–1678. https://doi.org/10.11779/CJGE202009011
Mashiri MS, Vinod JS, Sheikh MN, Carraro AH (2018) Shear modulus of sand–tyre chip mixtures. Environ Geotech 5(6):336–344. https://doi.org/10.1680/jenge.16.00016
Liu QF, Zhuang HY, Wu Q, Zhao K, Chen GX (2021) Dynamic shear modulus and damping ratio of rubber-sand mixtures in different range of shearing strain amplitudes. J Vib Eng 34(04):712–720. https://doi.org/10.16385/j.cnki.issn.1004-4523.2021.04.007
Mojtahedzadeh N, Ghalandarzadeh A, Motamed R (2021) Experimental evaluation of dynamic characteristics of firouzkooh sand using cyclic triaxial and bender element tests. Int J Civ Eng 20:125–138. https://doi.org/10.1007/s40999-021-00644-6
Bayat M, Ghalandarzadeh A (2019) Influence of depositional method on dynamic properties of granular soil. Int J Civ Eng 17(6):907–920. https://doi.org/10.1007/s40999-019-00412-7
Bayat M, Ghalandarzadeh A (2018) Stiffness degradation and damping ratio of sand-gravel mixtures under saturated state. Int J Civ Eng 16(10):1261–1277. https://doi.org/10.1007/s40999-017-0274-8
Wei L, Lu YX, Zhou ZH, Wang Q, Yang B, Tang HM, Li TL (2019) Dynamic characteristics of unsaturated loess and their influences on ground vibration parameters of sites. Chinese J Geotech Eng 41(S2):145–148. https://doi.org/10.11779/CJGE2019S2037
Wu MT, Liu FC, Chen JL, Chen L (2018) Influence of water content on dynamic shear modulus and damping ratio of rubber-sand mixture under large strains. Rock Soil Mech 39(3):803–814. https://doi.org/10.16285/j.rsm.2017.0956
Sun ZL, Dang JQ, Fan HH, Wang F (2012) Experimental research on factors influencing dynamic shear modulus of dispersive clay. Rock Soil Mech 33(12):3669–3673. https://doi.org/10.16285/j.rsm.2012.12.016
Fakharian K, Ahmad A (2020) Effect of anisotropic consolidation and rubber content on dynamic parameters of granulated rubber-sand mixtures. Soil Dyn Earthq Eng 141(10):106531. https://doi.org/10.1016/j.soildyn.2020.106531
Hardin BO, Drnevich VP (1972) Shear modulus and damping in soils: design equations and curves. J Soil Mech Found Div. https://doi.org/10.1061/JSFEAQ.0001760
Funding
The work was financially supported by the Chunhui Program of Natural Science Foundation of Hebei Province (E2022201021) and the Science Research Project of Hebei Education Department (ZD2020157).
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Appendix
The result of the compaction test is shown in Fig. 21. The tests were carried out using a heavy compaction test (hammer weight: 4.5 kg, drop height: 457 mm, unit volume compaction power: 2684.9 kJ/m3, three layers and 95 times for each layer). The dry density for each sample with different RC was controlled based on the approximately 80% maximum dry density.
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Liang, A., Sun, Q. & Liu, H. Factors Influencing the Dynamic Shear Modulus and Damping Ratio of Granulated Rubber–Clay Mixtures in Xiong’an New Area. Int J Civ Eng (2024). https://doi.org/10.1007/s40999-023-00925-2
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DOI: https://doi.org/10.1007/s40999-023-00925-2