9 1 Vol. 9 No. 1 1 JOURNAL OF CHONGQING JIAOTONG UNIVERSITY NATURAL SCIENCE Feb. 1 Johnson-Cook 1 1 1 1 1. 7. 7 Johnson-Cook Johnson-Cook ANSYS % Johnson-Cook Johnson-Cook U1. 17 A 17-9 1 1-9 - 5 Rutting Caculaiton of Asphalt Pavement Based on the Johnson-Cook Viscoplastic Model HE Zhao-yi 1 WANG Fan 1 ZHU Lei 1 LU Zhao-feng 1 1. School of Civil Engineering & ArchitectureChongqing Jiaotong UniversityChongqing 7 China. School of Mechatronics & Automotive EngineeringChongqing Jiaotong UniversityChongqing 7China Abstract The constitutive equation of asphalt mixture is described by the Johnson-Cook model. The model parameters of base asphalt mixture and modified asphalt mixture are gained by uniaxial compression experiments of different temperatures and different strain rates. Based on the ANSYS transient dynamic theory effects of asphalt pavement rutting of the number of equivalent axle load temperature and overloading are analyzed. The results indicate the anti-rutting performannce of nature rock asphalt modified asphalt mixture is % higher than the anti-rutting performannce of base asphalt mixture which is consistent with the asphalt pavement rutting deformation of the actual situation. The rutting caculaiton method based on the Johnson-Cook viscoplastic model is put forward which provides a new method for asphalt pavement rutting analysis. Key words asphalt pavement viscoplasticity Johnson-Cook model rutting FEM analysis 1 Johnson-Cook 1-3 Johnson-Cook JC 5 Johnson-Cook σ vp = A + Bε n vp 1 + Cln ε vp 1 - T - T r m ε T m - T r 1 ANSYS σ vp Von Mises ε vp Johnson-Cook A B n C ε vp ε m 9-11 - 13 9-1 - 1 5713 195 - E - mail hzyzwb@ cquc. edu. cn
5 9 T m 3 3 1 /31 / T r 1 /1 s - 1 AC - C Johnson-Cook. 1 JC 1 mm mm 1 MTS 1 7 # NES % 1 Tab. 1 AC - C AC - C gradation /mm. 75. 15. 3. 1. 1. 3. 75 9. 5 13. 1 19. 5 /% 5.. 7 11. 13. 5 1.. 9 3. 51. 77.. 3 9. 1.. 1 3 1 1 1 1 1 /3 s 3 1 1 1 1 1 1/3 s -1 1/ s -1 1/1 s -1 1 3 5 应变 /1-3 1 Fig. 1 1 1 1 The stress-strain relation of base asphalt s different strain rates 1 3 5 应变 /1-3 Fig. The stress-strain relation of base asphalt s different temperatures 1 3 应变 /1-3 m = 1. 5 3 3. 513 σ vp = 7. 9 + 1. 1εvp 1 +. 5ln ε vp 1 - ε 1 /3 s - 1 3 T - T r 1. 5 T m - T r JC 5 Fig. 3 Fig. 3 The stress-strain relation of modified asphalt s different strain rates 5 15 5 1/3 s -1 1/ s -1 1/1 s -1 1 3 应变 /1-3 The stress-strain relation of modified asphalt s different temperatures. 3 Johnson-Cook JC JC 5 A = 7. 9 MPa B = 1. 1 MPa n =. 51 3 C =. 5
1 Johnson-Cook 51 A = 11. 15 MPa B = 1. MPa n =. C =. 1 m = 1. B B ε vp σ vp = 11. 15 + 1. ε. vp 1 +. 1ln 1 - T - T r 1. 3 ε T m - T r. Johnson-Cook 水泥稳定碎石 h=19 cm ANSYS /LS - DYNA 7 1 /3 s - 1 二灰碎石 h=19 cm 石灰土 h= cm 3D SOL- 土基 ID 1 1 mm mm JC 7 ANSYS 5 JC Fig. 5 Fig. 1 1 实验曲线模拟曲线 3 5 应变 /1-3 5 The simulated results of base asphalt mixture 1 1 1 1 1 实验曲线模拟曲线 1. 1.5..5 3. 3.5 应变 /1-3 The simulated results of modified asphalt mixture 3 Johnson-Cook 3. 1 AC - C AC - C 抗滑表层 AK-13A 岩沥青改性沥青混合料 3. 1. 1 BZZ - 1 l5 a 1 9 A 7 Fig. 9 Fig. 7 Fig. h= cm AC-C h= cm 沥青混合料 AC-F h=cm A Modified asphalt pavement structur e A 抗滑表层 AK-13A 基质沥青混合料 h= cm AC-C h= cm 沥青混合料 AC-F h=cm 水泥稳定碎石 二灰碎石 石灰土 土 h=19 cm h=19 cm h= cm 基 B Base asphalt pavement structure B 3. 1. PLANE 1 m A B m 5. 7 m 9 FEB 9 7 5 The finite element model after deviding grid
5 9 Tab. All level parameters of semi-rigid asphalt pavement structure of the trial road / / / / MPa kpa kg m - 3 1 35. 5 5 AC - C 79. 5 5 AC - C 1 5. 5 1. 5 55. 35 55 1 93. 1 3 1 9 3. 1 3 5 - JC - BZZ - 1 - - 1. MPa 1. MPa -1 横断面 /m 1 P/MPa.791 3.15 5.15 5.3 1.3 1.5 15.5 15. t Fig. 1 1 Road dynamic load model 3. 3-3. 3. 1-1 横断面 /m A B 11 13 Fig. 13 沥青路面车辙 /mm 11 Fig. 11 7 5 3 1.E+1.E+.E+ 3.E+.E+ 5.E+.E+7.E+ 累计轴载作用次数 A B Rutting deformation of asphalt pavement structure A and B under axle loading A B B % 3. 3. 1. 7 ~ 1. MPa A B A B 1 13 Fig. 1 A B 1 A 5. mm B. 79 mm A 车辙 /mm 1 车辙 /mm.7 MPa. MPa.9 MPa A Under the axle overloading the rutting deformation of the B asphalt pavement - - - 1 3 5.7 MPa. MPa.9 MPa 1. MPa 1. MPa B Under the axle overloading the rutting deformation of the B asphalt pavement 1 13. 7 MPa 1. MPa A B A % 1 Johnson-Cook
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