基于同一时温等效因子绘制轴横向动态模量主曲线
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摘要
沥青混合料线性黏弹性阶段的动态模量满足时温等效原理,基于时温等效原则可将试验得到的不同温度与频率下的动态模量采用相应的时温等效因子平移得到参考温度下的动态模量主曲线,因此主曲线的精确与否取决于时温等效因子的准确程度.在沥青混合料固有各向异性的研究中,为了得到满足黏弹性理论和时温等效原理的轴向和横向动态模量主曲线,从宏观和微观理论出发分析两个方向采用相同时温等效因子的合理性,同时进行两种沥青混合料的动态模量试验,对比采用与不采用相同时温等效因子绘制主曲线的准确性,发现两种方式绘制得到的主曲线的误差百分率与拟合优度相差很小,采用不同时温等效因子绘制的主曲线时,由于多了两个参数,故误差百分率指标与拟合优度稍高.基于理论分析与试验结果表明,在沥青混合料各向异性的研究中,两个方向的主曲线绘制需要采用相同的时温等效因子,绘制出满足时温等效原理的主曲线.
The dynamic modulus of asphalt mixture at the linear viscoelastic stage meets the time-temperature equivalence principle. Based on the time-temperature equivalence principle, the dynamic modulus at different temperatures and frequencies obtained from the test can be translated by corresponding time-temperature equivalence factors to obtain the main dynamic modulus curve at the reference temperature. In the study of inherent anisotropy of asphalt mixture, in order to obtain the master curves of axial and transverse dynamic modulus satisfying viscoelastic theory and time-temperature equivalence principle, the rationality of adopting the same time-temperature equivalence factor in both directions was analyzed from macroscopic and microscopic theories. Meanwhile, the dynamic modulus tests of the two asphalt mixtures were carried out, and the accuracy of drawing the main curve by using the same time-temperature equivalent factor and not using the same time-temperature equivalent factor was compared. It is found that the error percentage and goodness of fit of the main curve drawn by the two methods are very small. When the master curve is drawn by using the equivalent factor of different time temperatures, the error percentage index and goodness of fit are slightly higher due to the addition of two parameters. Based on theoretical analysis and experimental results, it is shown that in the study of the anisotropy of asphalt mixture, the same time-temperature equivalent factor should be used to draw the master curves in both directions to meet the principle of time-temperature equivalence.
The dynamic modulus of asphalt mixture at the linear viscoelastic stage meets the time-temperature equivalence principle. Based on the time-temperature equivalence principle, the dynamic modulus at different temperatures and frequencies obtained from the test can be translated by corresponding time-temperature equivalence factors to obtain the main dynamic modulus curve at the reference temperature. In the study of inherent anisotropy of asphalt mixture, in order to obtain the master curves of axial and transverse dynamic modulus satisfying viscoelastic theory and time-temperature equivalence principle, the rationality of adopting the same time-temperature equivalence factor in both directions was analyzed from macroscopic and microscopic theories. Meanwhile, the dynamic modulus tests of the two asphalt mixtures were carried out, and the accuracy of drawing the main curve by using the same time-temperature equivalent factor and not using the same time-temperature equivalent factor was compared. It is found that the error percentage and goodness of fit of the main curve drawn by the two methods are very small. When the master curve is drawn by using the equivalent factor of different time temperatures, the error percentage index and goodness of fit are slightly higher due to the addition of two parameters. Based on theoretical analysis and experimental results, it is shown that in the study of the anisotropy of asphalt mixture, the same time-temperature equivalent factor should be used to draw the master curves in both directions to meet the principle of time-temperature equivalence.
引文
[1] TEJASWI P, FATIMA J, PADMAREKHA A, et al. Linear viscoelastic limits for determination of dynamic modulus of bituminous concrete mixture in AMPT[C].Airfield & Highway Pavement Conference. Los Angeles, 2014.
[2] ZHAO Y, LIU H, BAI L, et al. Characterization of linear viscoelastic behavior of asphalt concrete using complex modulus model[J]. Journal of Materials in Civil Engineering, 2012,25(10):1543-1548.
[3] NGUYEN Q T, BENEDETTO H D, SAUZéAT C, et al. Time temperature superposition principle validation for bituminous mixes in the linear and nonlinear domains[J]. Journal of Materials in Civil Engineering, 2013,25(9):1181-1188.
[4] HOANG M N, SIMON P, BENEDETTO H, et al. Time-temperature superposition principle for bituminous mixtures[J]. Revue Fran?§aise De G??nie Civil, 2009,13(9):1095-1107.
[5] LEVENBERG E, UZAN J. Triaxial small-strain viscoelastic-viscoplastic modeling of asphalt aggregate mixes[J]. Mechanics of Time-Dependent Materials, 2004,8(4):365-384.
[6] UNDERWOOD S, HEIDARI A, GUDDATI M, et al. Experimental investigation of anisotropy in asphalt concrete[J]. Transportation Research Record Journal of the Transportation Research Board, 2005,192(1):238-247.
[7] DI B H, SAUZéAT C, CLEC H P. Anisotropy of bituminous mixture in the linear viscoelastic domain[J]. Mechanics of Time-Dependent Materials, 2016,20(3):281-297.
[8] ZHANG Y, BIRGISSON B, LYTTON R L. Weak form equation-based finite-element modeling of viscoelastic asphalt mixtures[J]. Journal of Materials in Civil Engineering, 2016,28(2):145-152.
[9] 赵延庆,吴剑,文健.沥青混合料动态模量及其主曲线的确定与分析[J].公路,2006(8):163-167.
[2] ZHAO Y, LIU H, BAI L, et al. Characterization of linear viscoelastic behavior of asphalt concrete using complex modulus model[J]. Journal of Materials in Civil Engineering, 2012,25(10):1543-1548.
[3] NGUYEN Q T, BENEDETTO H D, SAUZéAT C, et al. Time temperature superposition principle validation for bituminous mixes in the linear and nonlinear domains[J]. Journal of Materials in Civil Engineering, 2013,25(9):1181-1188.
[4] HOANG M N, SIMON P, BENEDETTO H, et al. Time-temperature superposition principle for bituminous mixtures[J]. Revue Fran?§aise De G??nie Civil, 2009,13(9):1095-1107.
[5] LEVENBERG E, UZAN J. Triaxial small-strain viscoelastic-viscoplastic modeling of asphalt aggregate mixes[J]. Mechanics of Time-Dependent Materials, 2004,8(4):365-384.
[6] UNDERWOOD S, HEIDARI A, GUDDATI M, et al. Experimental investigation of anisotropy in asphalt concrete[J]. Transportation Research Record Journal of the Transportation Research Board, 2005,192(1):238-247.
[7] DI B H, SAUZéAT C, CLEC H P. Anisotropy of bituminous mixture in the linear viscoelastic domain[J]. Mechanics of Time-Dependent Materials, 2016,20(3):281-297.
[8] ZHANG Y, BIRGISSON B, LYTTON R L. Weak form equation-based finite-element modeling of viscoelastic asphalt mixtures[J]. Journal of Materials in Civil Engineering, 2016,28(2):145-152.
[9] 赵延庆,吴剑,文健.沥青混合料动态模量及其主曲线的确定与分析[J].公路,2006(8):163-167.