메뉴 건너뛰기




Volumn 78, Issue 3, 2011, Pages

L-Curve based tikhonov's regularization method for determining relaxation modulus from creep test

Author keywords

asphalt mixtures; linear viscoelasticity; numerical computation; regularization; Volterra integral equation

Indexed keywords

ASPHALT MIXTURE; LINEAR VISCOELASTICITY; NUMERICAL COMPUTATIONS; REGULARIZATION; VOLTERRA INTEGRAL EQUATIONS;

EID: 79551698053     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4002843     Document Type: Article
Times cited : (20)

References (27)
  • 2
    • 46349107953 scopus 로고    scopus 로고
    • Transient wave propagation in multilayered viscoelastic media: Theory, numerical computation, and validation
    • Sun, L., and Luo, F. Q., 2008, "Transient Wave Propagation in Multilayered Viscoelastic Media: Theory, Numerical Computation, and Validation," ASME J. Appl. Mech., 75-3-, p. 031007.
    • (2008) ASME J. Appl. Mech. , vol.75 , Issue.3 , pp. 031007
    • Sun, L.1    Luo, F.Q.2
  • 4
    • 0033081380 scopus 로고    scopus 로고
    • Interconversion between relaxation modulus and creep compliance for viscoelastic solids
    • Park, S. W., and Kim, Y. R., 1999, "Interconversion Between Relaxation Modulus and Creep Compliance for Viscoelastic Solids," J. Mater. Civ. Eng., 11(1), pp. 76-82.
    • (1999) J. Mater. Civ. Eng. , vol.11 , Issue.1 , pp. 76-82
    • Park, S.W.1    Kim, Y.R.2
  • 5
    • 34547358960 scopus 로고    scopus 로고
    • Determination of time- domain viscoelastic functions using optimized interconversion techniques
    • Mun, S., Chehab, G. R., and Kim, Y. R., 2007, "Determination of Time- Domain Viscoelastic Functions Using Optimized Interconversion Techniques," Road Mater. Pavement Des., 8(2), pp. 351-365.
    • (2007) Road Mater. Pavement Des. , vol.8 , Issue.2 , pp. 351-365
    • Mun, S.1    Chehab, G.R.2    Kim, Y.R.3
  • 6
    • 38349183883 scopus 로고    scopus 로고
    • Determination of accurate creep compliance and relaxation modulus at a single temperature for viscoelastic solids
    • Kim, J., Sholar, G. A., and Kim, S., 2008, "Determination of Accurate Creep Compliance and Relaxation Modulus at a Single Temperature for Viscoelastic Solids," J. Mater. Civ. Eng., 20(2), pp. 147-156.
    • (2008) J. Mater. Civ. Eng. , vol.20 , Issue.2 , pp. 147-156
    • Kim, J.1    Sholar, G.A.2    Kim, S.3
  • 8
    • 26444562544 scopus 로고
    • A note on the interconversion of creep, relaxation and recovery
    • Denby, E. F., 1975, "A Note on the Interconversion of Creep, Relaxation and Recovery," Rheol. Acta, 14(7), pp. 591-593.
    • (1975) Rheol. Acta , vol.14 , Issue.7 , pp. 591-593
    • Denby, E.F.1
  • 9
    • 0035131720 scopus 로고    scopus 로고
    • Fitting prony-series viscoelastic models with power-law presmoothing
    • Park, S. W., and Kim, Y. R., 2001, "Fitting Prony-Series Viscoelastic Models With Power-Law Presmoothing," J. Mater. Civ. Eng., 13(1), pp. 26-32.
    • (2001) J. Mater. Civ. Eng. , vol.13 , Issue.1 , pp. 26-32
    • Park, S.W.1    Kim, Y.R.2
  • 10
    • 0000753579 scopus 로고
    • On creep and relaxation
    • Hopkins, I. L., and Hamming, R. W., 1957, "On Creep and Relaxation," J. Appl. Phys., 28(8), pp. 906-909.
    • (1957) J. Appl. Phys. , vol.28 , Issue.8 , pp. 906-909
    • Hopkins, I.L.1    Hamming, R.W.2
  • 11
    • 0002736849 scopus 로고
    • An improved numerical interconversion for creep compliance and relaxation modulus
    • Knoff, W. F., and Hopkins, I. L., 1972, "An Improved Numerical Interconversion for Creep Compliance and Relaxation Modulus," J. Appl. Polym. Sci., 16(11), pp. 2963-2972.
    • (1972) J. Appl. Polym. Sci. , vol.16 , Issue.11 , pp. 2963-2972
    • Knoff, W.F.1    Hopkins, I.L.2
  • 12
    • 42449153562 scopus 로고
    • Conversion relations between relaxation and creep
    • Zhao, B., 1995, "Conversion Relations Between Relaxation and Creep," Chinese Journal of Experimental Mechanics, 10(2), pp. 141-144.
    • (1995) Chinese Journal of Experimental Mechanics , vol.10 , Issue.2 , pp. 141-144
    • Zhao, B.1
  • 13
    • 0002266356 scopus 로고    scopus 로고
    • A sign control method for fitting and interconverting material functions for linearly viscoelastic solids
    • Bradshaw, R. D., and Brinson, L. C., 1997, "A Sign Control Method for Fitting and Interconverting Material Functions for Linearly Viscoelastic Solids," Mech. Time-Depend. Mater., 1(1), pp. 85-108.
    • (1997) Mech. Time-Depend. Mater. , vol.1 , Issue.1 , pp. 85-108
    • Bradshaw, R.D.1    Brinson, L.C.2
  • 14
    • 0031467965 scopus 로고    scopus 로고
    • An intermediate model method for obtaining a discrete relaxation spectrum from creep data
    • Dooling, P. J., Buckley, C. P., and Hinduja, S., 1997, "An Intermediate Model Method for Obtaining a Discrete Relaxation Spectrum From Creep Data," Rheol. Acta, 36(4), pp. 472-482.
    • (1997) Rheol. Acta , vol.36 , Issue.4 , pp. 472-482
    • Dooling, P.J.1    Buckley, C.P.2    Hinduja, S.3
  • 15
    • 0033117250 scopus 로고    scopus 로고
    • Methods of interconversion between linear viscoelastic material functions. Part I-anumerical method based on prony series
    • Park, S. W., and Schapery, R. A., 1999, "Methods of Interconversion Between Linear Viscoelastic Material Functions. Part I-ANumerical Method Based on Prony Series," Int. J. Solids Struct., 36(11), pp. 1653-1675.
    • (1999) Int. J. Solids Struct. , vol.36 , Issue.11 , pp. 1653-1675
    • Park, S.W.1    Schapery, R.A.2
  • 16
    • 0034984449 scopus 로고    scopus 로고
    • A direct method for obtaining discrete relaxation spectra from creep data
    • Liu, Y., 2001, "A Direct Method for Obtaining Discrete Relaxation Spectra From Creep Data," Rheol. Acta, 40(3), pp. 256-260.
    • (2001) Rheol. Acta , vol.40 , Issue.3 , pp. 256-260
    • Liu, Y.1
  • 17
    • 0035372759 scopus 로고    scopus 로고
    • Implications and constraints of time-independent poisson ratios in linear isotropic and anisotropic viscoelasticity
    • Hilton, H. H., 2001, "Implications and Constraints of Time-Independent Poisson Ratios in Linear Isotropic and Anisotropic Viscoelasticity," J. Elast., 63(3), pp. 221-251.
    • (2001) J. Elast. , vol.63 , Issue.3 , pp. 221-251
    • Hilton, H.H.1
  • 18
    • 44349136172 scopus 로고    scopus 로고
    • An alternate protocol for determining viscoelastic materials properties based on tensile tests without the use of poisson's ratios
    • Shtark, A., Grosbein, H., Sameach, G., and Hilton, H. H., 2007, "An Alternate Protocol for Determining Viscoelastic Materials Properties Based on Tensile Tests Without the Use of Poisson's Ratios," ASME Paper No. IMECE 2007-41068.
    • (2007) ASME Paper No. IMECE 2007-41068
    • Shtark, A.1    Grosbein, H.2    Sameach, G.3    Hilton, H.H.4
  • 19
    • 0031168251 scopus 로고    scopus 로고
    • Computation of the linear viscoelastic relaxation spectrum from experimental data
    • Ramkumar, D. H. S., Caruthers, J. M., Mavridis, H., and Shroff, R., 1997, "Computation of the Linear Viscoelastic Relaxation Spectrum From Experimental Data," J. Appl. Polym. Sci., 64(11), pp. 2177-2189.
    • (1997) J. Appl. Polym. Sci. , vol.64 , Issue.11 , pp. 2177-2189
    • Ramkumar, D.H.S.1    Caruthers, J.M.2    Mavridis, H.3    Shroff, R.4
  • 20
    • 36049052536 scopus 로고    scopus 로고
    • On the direct estimation of creep and relaxation functions
    • Sorvari, J., and Malinen, M., 2007, "On the Direct Estimation of Creep and Relaxation Functions," Mech. Time-Depend. Mater., 11(2), pp. 143-157.
    • (2007) Mech. Time-Depend. Mater. , vol.11 , Issue.2 , pp. 143-157
    • Sorvari, J.1    Malinen, M.2
  • 21
    • 33751005585 scopus 로고    scopus 로고
    • Numerical interconversion between linear viscoelastic material functions with regularization
    • Sorvari, J., and Malinen, M., 2007, "Numerical Interconversion Between Linear Viscoelastic Material Functions With Regularization," Int. J. Solids Struct., 44(3-4), pp. 1291-1303.
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.3-4 , pp. 1291-1303
    • Sorvari, J.1    Malinen, M.2
  • 22
    • 33749586170 scopus 로고    scopus 로고
    • The determination of creep and relaxation functions from a single experiment
    • Nikonov, A., Davies, A. R., and Emri, I., 2005, "The Determination of Creep and Relaxation Functions From a Single Experiment," J. Rheol., 49(6), pp. 1193-1211.
    • (2005) J. Rheol. , vol.49 , Issue.6 , pp. 1193-1211
    • Nikonov, A.1    Davies, A.R.2    Emri, I.3
  • 25
    • 0036905596 scopus 로고    scopus 로고
    • A numerical differentiation method and its application to reconstruction of discontinuity
    • Wang, Y. B., Jia, X. Z., and Cheng, J., 2002, "A Numerical Differentiation Method and Its Application to Reconstruction of Discontinuity," Inverse Probl., 18(6), pp. 1461-1476.
    • (2002) Inverse Probl. , vol.18 , Issue.6 , pp. 1461-1476
    • Wang, Y.B.1    Jia, X.Z.2    Cheng, J.3
  • 26
    • 0000570697 scopus 로고
    • Analysis of discrete Ill-Posed problems by means of the L-Curve
    • Hansen, P. C., 1992, "Analysis of Discrete Ill-Posed Problems by Means of the L-Curve," SIAM Rev., 33(4), pp. 561-580.
    • (1992) SIAM Rev. , vol.33 , Issue.4 , pp. 561-580
    • Hansen, P.C.1
  • 27
    • 0001632418 scopus 로고
    • The use of the l-curve in the regularization of discrete Ill-Posed problems
    • Hansen, P. C., and O'Leary, D. P., 1993, "The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems," SIAM J. Sci. Comput.-USA-, 14-6-, pp. 1487-1503.
    • (1993) SIAM J. Sci. Comput.(USA) , vol.14 , Issue.6 , pp. 1487-1503
    • Hansen, P.C.1    O'Leary, D.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.