[1] Cai Xing, Yang Jun,. A fatigue damage model for asphalt mixturesunder controlled-stress and controlled-strain modes [J]. Journal of Southeast University (English Edition), 2019, 35 (1): 89-96. [doi:10.3969/j.issn.1003-7985.2019.01.013]

Copy

A fatigue damage model for asphalt mixturesunder controlled-stress and controlled-strain modes()

Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

35

Issue:

2019 1

Page:

89-96

Research Field:

Traffic and Transportation Engineering

Publishing date:

2019-03-30

Info

Title:

A fatigue damage model for asphalt mixturesunder controlled-stress and controlled-strain modes

Author(s):

Cai Xing;  Yang Jun

School of Transportation, Southeast University, Nanjing 210096, China

Keywords:

asphalt mixtures;  fatigue model;  control mode;  continuum damage mechanics;  dynamic modulus

PACS:

U416.2

DOI:

10.3969/j.issn.1003-7985.2019.01.013

Abstract:

A fatigue damage model based on thermodynamics was deduced for asphalt mixtures under controlled-stress and controlled-strain modes. By employing modulus of resilience as the damage hardening variable, a damage variable related with dynamic modulus was extracted as the evaluation index. Then, the damage evolution law under two control modes was proposed, and it has a similar form to the Chaboche fatigue model with a nonnegative material parameter m related to its loading level. Experimental data of four loading levels were employed to calibrate the model and identify the parameter in both control modes. It is found that the parameter m shows an exponential relationship with its loading level. Besides, the difference of damage evolution under two control modes was explained by the law. The damage evolves from fast to slow under a controlled-strain mode. However, under a controlled-stress mode, the evolution rate is just the opposite. By using the damage equivalence principle to calculate the equivalent cycle numbers, the deduced model also interprets the difference of damage evolution under two control modes on the condition of multilevel loading. Under a controlled-strain mode, a loading sequence from a low level to a high level accelerates damage evolution. An inverse order under the controlled-stress mode can prolong fatigue life.

References:

[1] Kim J, Koh C. Development of a predictive system for estimating fatigue life of asphalt mixtures using the indirect tensile test[J]. Journal of Transportation Engineering, 2012, 138(12): 1530-1540. DOI:10.1061/(asce)te.1943-5436.0000452.
[2] Yang J, Wang H P, Liao H. Key influential factors of fatigue and self-healing properties of asphalt mixture[J].Journal of Southeast University (Natural Science Edition), 2016, 46(1): 196-201.(in Chinese)
[3] Yu J M, Tsai B W, Zhang X N, et al. Development of asphalt pavement fatigue cracking prediction model based on loading mode transfer function[J].Road Materials and Pavement Design, 2012, 13(3): 501-517. DOI:10.1080/14680629.2012.695240.
[4] Botella R, Pérez-Jiménez F E, Miro R, et al. New methodology to estimate the fatigue behavior of bituminous mixtures using a strain sweep test[J]. Construction and Building Materials, 2017, 135: 233-240. DOI:10.1016/j.conbuildmat.2016.12.190.
[5] Shen S H, Carpenter S. Development of an asphalt fatigue model based on energy principles[J]. Asphalt Paving Technology:Association of Asphalt Paving Technologists—Proceedings of the Technical Sessions, 2007, 76:525-573.
[6] Karki P, Li R, Bhasin A. Quantifying overall damage and healing behaviour of asphalt materials using continuum damage approach[J]. International Journal of Pavement Engineering, 2015, 16(4): 350-362. DOI:10.1080/10298436.2014.942993.
[7] Ni F J, Yu B, Gu X Y, et al. Characterization of fatigue damage of hot mix asphalt based on residual strength[J]. Journal of Materials in Civil Engineering, 2017, 29(8): 04017075. DOI:10.1061/(asce)mt.1943-5533.0001908.
[8] Liu H F. Research on nonlinear fatigue damage properties of asphalt mixture based on the decay of strength and stiffness [D]. Changsha: Changsha University of Science and Technology, 2012: 29-74.(in Chinese)
[9] Wu Z Y. Research on cumulative fatigue damage of asphalt mixture and asphalt layer based on multi-level amplitude loading [D]. Guangzhou: South China University of Technology, 2014: 24-62(in Chinese)
[10] Castelo Branco V T F, Masad E, Bhasin A, et al. Fatigue analysis of asphalt mixtures independent of mode of loading[J]. Transportation Research Record: Journal of the Transportation Research Board, 2008, 2057: 149-156. DOI:10.3141/2057-18.
[11] Zheng J L. Application of burgers model to the analysis of fatigue characteristic of bitumous mixtures [J]. Journal of Changsha Communications Institute, 1995, 11(3):32-42.(in Chinese)
[12] Shan L Y, Tan Y Q, Xu Y N, et al. Fatigue damage evolution rules of asphalt under controlled-stress and controlled-strain modes[J]. China Journal of Highway and Transport, 2016, 29(1): 16-21, 74. DOI:10.19721/j.cnki.1001-7372.2016.01.002. (in Chinese)
[13] Masad E, Castelo Branco V T F, Little D N, et al. A unified method for the analysis of controlled-strain and controlled-stress fatigue testing[J]. International Journal of Pavement Engineering, 2008, 9(4): 233-246. DOI:10.1080/10298430701551219.
[14] Sun B, Li Z X. A multi-scale damage model for fatigue accumulation due to short cracks nucleation and growth[J].Engineering Fracture Mechanics, 2014, 127: 280-295. DOI:10.1016/j.engfracmech.2014.06.014.
[15] Onifade I, Birgisson B, Balieu R. Energy-based damage and fracture framework for viscoelastic asphalt concrete[J]. Engineering Fracture Mechanics, 2015, 145: 67-85. DOI:10.1016/j.engfracmech.2015.07.003.
[16] Onifade I, Balieu R, Birgisson B. Interpretation of the Superpave IDT strength test using a viscoelastic-damage constitutive model[J]. Mechanics of Time-Dependent Materials, 2016, 20(3): 421-439. DOI:10.1007/s11043-016-9297-9.
[17] Lemaître J. A course on damage mechanics [M]. New York: Springer-Verlag, 1996: 96-97.
[18] Zhu H R, Sun L.A viscoelastic-viscoplastic damage constitutive model for asphalt mixtures based on thermodynamics[J]. International Journal of Plasticity, 2013, 40: 81-100. DOI:10.1016/j.ijplas.2012.07.005.
[19] Li Z X, Chan T H T, Ko J M. Fatigue damage model for bridge under traffic loading: Application made to Tsing Ma Bridge[J]. Theoretical and Applied Fracture Mechanics, 2001, 35(1): 81-91. DOI:10.1016/S0167-8442(00)00051-3.
[20] Chan T H T, Li Z X, Ko J M. Fatigue analysis and life prediction of bridges with structural health monitoring data: Part Ⅱ: application[J]. International Journal of Fatigue, 2001, 23(1): 55-64. DOI:10.1016/S0142-1123(00)00069-4.
[21] Lü S, Wang X Y, Liu C C, et al. Fatigue damage characteristics considering the difference of tensile-compression modulus for asphalt mixture[J]. Journal of Testing and Evaluation, 2018, 46(6): 20170114. DOI:10.1520/jte20170114.

Memo

Memo:

Biographies: Cai Xing(1993—), female, Ph.D. candidate;Yang Jun(corresponding author), female, doctor, professor, yangjun@seu.edu.cn.
Foundation item: The Open Fund Project of National Key Laboratory of High Performance Civil Engineering Materials(No.2016CEM001).
Citation: Cai Xing, Yang Jun. A fatigue damage model for asphalt mixtures under controlled-stress and controlled-strain modes[J].Journal of Southeast University(English Edition), 2019, 35(1):89-96.DOI:10.3969/j.issn.1003-7985.2019.01.013.

Common functions