基于动态模量的沥青混合料车辙有限元分析
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摘要
为探究沥青路面车辙性能,采用UTM试验机进行动态模量试验,根据Schapery和Park提出的方法将频域内的动态模量转换成时间域的松弛模量,采用WLF方程和Sig-moidal函数,利用非线性最小二乘法建立松弛模量主曲线,通过瞬态剪切模量G(0)将G(t)归一化获得剪切模量比g(t),使用1stopt里的麦夸特法(Levenberg-Marquardt)进行多元非线性曲线拟合,获得Prony级数广义Maxwell模型,得到沥青混合料粘弹性本构模型,利用Abaqus有限元分析软件建立沥青混合料数值模拟仿真模型,通过室内车辙试验验证模型可靠,表明,采用Prony级数的本构模型能够很好地描述沥青混合料粘弹特性,所建立的仿真模型能较合理地模拟沥青混合料力学响应;利用广义Maxwell模型粘弹性沥青混合料本构模型来研究沥青路面车辙性能是可行的。
In order to explore the rutting performance of asphalt pavement,UTM testing machine was used to test the dynamic modulus. According to Schapery and Park's method,the dynamic modulus in frequency domain was converted into the relaxation modulus in time domain. The main curve of relaxation modulus was established by using WLF equation and Sigmo-moidal function,and the ratio of shear modulus g( t) was obtained by normalizing the transient shear modulus G( 0). The Levenberg-Marquardt method in 1stopt is used to fit the multivariate non-linear curve,and the generalized Maxwell model of Prony series is obtained. The viscoelastic constitutive model of asphalt mixture is obtained. The numerical simulation model of asphalt mixture is established by Abaqus finite element analysis software. The reliability of the model is verified by indoor rutting test,which shows that the constitutive model of Prony series can be very good. The viscoelastic characteristics of asphalt mixture are well described,and the simulation model can reasonably simulate the mechanical response of asphalt mixture. It is feasible to study the rutting performance of asphalt pavement by using the constitutive model of viscoelastic asphalt mixture based on generalized Maxwell model.
In order to explore the rutting performance of asphalt pavement,UTM testing machine was used to test the dynamic modulus. According to Schapery and Park's method,the dynamic modulus in frequency domain was converted into the relaxation modulus in time domain. The main curve of relaxation modulus was established by using WLF equation and Sigmo-moidal function,and the ratio of shear modulus g( t) was obtained by normalizing the transient shear modulus G( 0). The Levenberg-Marquardt method in 1stopt is used to fit the multivariate non-linear curve,and the generalized Maxwell model of Prony series is obtained. The viscoelastic constitutive model of asphalt mixture is obtained. The numerical simulation model of asphalt mixture is established by Abaqus finite element analysis software. The reliability of the model is verified by indoor rutting test,which shows that the constitutive model of Prony series can be very good. The viscoelastic characteristics of asphalt mixture are well described,and the simulation model can reasonably simulate the mechanical response of asphalt mixture. It is feasible to study the rutting performance of asphalt pavement by using the constitutive model of viscoelastic asphalt mixture based on generalized Maxwell model.
引文
[1]黄晓明,范要武,赵永利,等.高速公路沥青路面高温车辙的调查与实验分析[J].公路交通科技,2007,24(5):16-20.
[2]王辉,李雪连,张起森.高温重载作用下沥青路面车辙研究[J].土木工程学报,2009,42(5):139-144.
[3]周岚,倪富健,赵岩荆.环境温度及荷载对沥青路面车辙发展的影响性分析[J].公路交通科技,2011,28(3):42-47.
[4] Harvey,J.,Bejarano,M.,Popescu,L.. Accelerated pavement testing of rutting and cracking performance of asphalt-rubber and conventional asphalt concrete overlay strategies[J].Road Materials and Pavement Design,2001,2(3):229-262.
[5] Sivilevi ius,H.,Vansauskas,V.. Research and evaluation of ruts in the asphalt pavement on Lithuanian highways[J]. Journal of Civil Engineering and Management,2013,19(5):609-621.
[6]黄杰.高速公路沥青路面车辙与路面使用性能影响分析[J].养护施工与机械,2014(20):67-71.
[7]崔文博,郝培文.基于Ham-burg车辙试验的沥青路面车辙损坏分析[J].中外公路,2014,34(1):95-98.
[8]李国芬,王宏畅,王勇,等.基于修正Burgers模型的钢桥面铺装车辙有限元分析[J].林业工程学报,2016,1(5):120-125.
[9]张肖宁,尹应梅,邹桂莲.不同空隙率沥青混合料的粘弹性能[J].中国公路学报,2010(4):190-191.
[10]严明星,王金昌. ABAQUS有限元软件在路面结构分析中的应用[M].杭州:浙江大学出版社,2016.
[11] JTG F40—2004,公路沥青路面施工技术规范[S].
[12] JTG E42—2005,公路工程集料试验规程[S].
[13] JTG E20—2011,公路工程沥青及沥青混合料实验规程[S].
[14]廖公云,黄晓明. Abaqus有限元软件在道路工程中的应用[M].南京:东南大学出版社,2014.
[2]王辉,李雪连,张起森.高温重载作用下沥青路面车辙研究[J].土木工程学报,2009,42(5):139-144.
[3]周岚,倪富健,赵岩荆.环境温度及荷载对沥青路面车辙发展的影响性分析[J].公路交通科技,2011,28(3):42-47.
[4] Harvey,J.,Bejarano,M.,Popescu,L.. Accelerated pavement testing of rutting and cracking performance of asphalt-rubber and conventional asphalt concrete overlay strategies[J].Road Materials and Pavement Design,2001,2(3):229-262.
[5] Sivilevi ius,H.,Vansauskas,V.. Research and evaluation of ruts in the asphalt pavement on Lithuanian highways[J]. Journal of Civil Engineering and Management,2013,19(5):609-621.
[6]黄杰.高速公路沥青路面车辙与路面使用性能影响分析[J].养护施工与机械,2014(20):67-71.
[7]崔文博,郝培文.基于Ham-burg车辙试验的沥青路面车辙损坏分析[J].中外公路,2014,34(1):95-98.
[8]李国芬,王宏畅,王勇,等.基于修正Burgers模型的钢桥面铺装车辙有限元分析[J].林业工程学报,2016,1(5):120-125.
[9]张肖宁,尹应梅,邹桂莲.不同空隙率沥青混合料的粘弹性能[J].中国公路学报,2010(4):190-191.
[10]严明星,王金昌. ABAQUS有限元软件在路面结构分析中的应用[M].杭州:浙江大学出版社,2016.
[11] JTG F40—2004,公路沥青路面施工技术规范[S].
[12] JTG E42—2005,公路工程集料试验规程[S].
[13] JTG E20—2011,公路工程沥青及沥青混合料实验规程[S].
[14]廖公云,黄晓明. Abaqus有限元软件在道路工程中的应用[M].南京:东南大学出版社,2014.