A numerical method for directly obtaining discrete relaxation modulus from static creep tests data is developed for linear viscoelastic asphalt mixtures. To overcome the ill-posedness of interconversion between creep compliance and relaxation modulus, Volterra integral equations of the second kind and L-curve based Tikhonov’s regularization method are used to construct the computational scheme of parameter estimation. A numerical case study is presented to demonstrate the efficiency of the regularization method, which takes into account different step lengths and noise levels. It indicates that the computed results are accurate and robust at different noise levels. Compared with other existing methods, the L-curve based Tikhonov’s regularization method provides the best parameter estimates in dealing with both the numerical case study and the experiment data. The method can be used to extract viscoelastic parameters of asphalt mixtures from creep tests effectively and robustly.
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L-Curve Based Tikhonov’s Regularization Method for Determining Relaxation Modulus From Creep Test
Yaoting Zhu,
Yaoting Zhu
School of Transportation,
Southeast University
, No. 2 Sipailou, Nanjing 210096, China
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Lu Sun,
Lu Sun
School of Transportation,
Southeast University
, No. 2 Sipailou, Nanjing 210096, China; Department of Civil Engineering, Catholic University of America
, Pangborn Hall, 620 Michigan Avenue Northeast, Washington, DC 20064
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Huilin Xu
Huilin Xu
Department of Mathematics,
Southeast University
, No. 2 Sipailou, Nanjing 210096, China
Search for other works by this author on:
Yaoting Zhu
School of Transportation,
Southeast University
, No. 2 Sipailou, Nanjing 210096, China
Lu Sun
School of Transportation,
Southeast University
, No. 2 Sipailou, Nanjing 210096, China; Department of Civil Engineering, Catholic University of America
, Pangborn Hall, 620 Michigan Avenue Northeast, Washington, DC 20064
Huilin Xu
Department of Mathematics,
Southeast University
, No. 2 Sipailou, Nanjing 210096, ChinaJ. Appl. Mech. May 2011, 78(3): 031002 (7 pages)
Published Online: February 1, 2011
Article history
Received:
July 31, 2008
Revised:
January 8, 2010
Posted:
October 22, 2010
Published:
February 1, 2011
Online:
February 1, 2011
Citation
Zhu, Y., Sun, L., and Xu, H. (February 1, 2011). "L-Curve Based Tikhonov’s Regularization Method for Determining Relaxation Modulus From Creep Test." ASME. J. Appl. Mech. May 2011; 78(3): 031002. https://doi.org/10.1115/1.4002843
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