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Volumn 51, Issue 2, 1984, Pages 294-298

On the appearance of the fractional derivative in the behavior of real materials

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS - VISCOUS;

EID: 0021439912     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3167615     Document Type: Article
Times cited : (1048)

References (15)
  • 1
    • 0000266650 scopus 로고    scopus 로고
    • A New Generalized Law of Deformation
    • Nutting, P. G. “A New Generalized Law of Deformation,” Journal of theFranklin Institute, Vol. 191, pp. 679-685.
    • Journal of theFranklin Institute , vol.191 , pp. 679-685
    • Nutting, P.G.1
  • 2
    • 0345218900 scopus 로고
    • A Method of Analyzing Experimental Results Obtained from Elasto-Viscous Bodies
    • Gemant, A. “A Method of Analyzing Experimental Results Obtained from Elasto-Viscous Bodies,“Physics, Vol. 7, 1936, pp. 311-317.
    • (1936) “Physics , vol.7 , pp. 311-317
    • Gemant, A.1
  • 3
    • 0001552054 scopus 로고
    • On Fractional Differentials
    • Gemant, A. “On Fractional Differentials,” Philosophical Magazine, Vol. 25, 1938, pp. 540-549.
    • (1938) Philosophical Magazine , vol.25 , pp. 540-549
    • Gemant, A.1
  • 4
    • 84915468903 scopus 로고
    • The Phenomenological Method in Rheology
    • London
    • Graham, A. “The Phenomenological Method in Rheology,” Research, London, 1953, pp. 92-96.
    • (1953) Research , pp. 92-96
    • Graham, A.1
  • 6
    • 0017002154 scopus 로고
    • Vibrations of an Infinite Plate With a Frequency Independent Q
    • Caputo, M. “Vibrations of an Infinite Plate With a Frequency Independent Q,” J. Acoust. Soc. Am., Vol. 60, 1976, pp. 632-637.
    • (1976) J. Acoust. Soc. Am. , vol.60 , pp. 632-637
    • Caputo, M.1
  • 8
    • 0000242586 scopus 로고
    • A Generalized Derivative Model for an Elastomer Damper
    • Sept
    • Bagley, R. L., andTorvik, P. J. “A Generalized Derivative Model for an Elastomer Damper,” Shock and Vibration Bulletin, No. 49, Part 2, Sept. 1979.
    • (1979) Shock and Vibration Bulletin , vol.49
    • Bagley, R.L.1    Torvik, P.J.2
  • 9
    • 0003476250 scopus 로고
    • Ph.D. dissertation, Air Force Institute of Technology, 1979; also published as AFML-TR-79-4103, Nov
    • Bagley, R. L. Applications of Generalized Derivatives to Viscoelasticity, Ph.D. dissertation, Air Force Institute of Technology, 1979; also published as AFML-TR-79-4103, Nov. 1979.
    • (1979) Applications of Generalized Derivatives to Viscoelasticity
    • Bagley, R.L.1
  • 10
    • 0020751558 scopus 로고
    • Fractional Calculus-A Different Approach to the Finite Element Analysis of Viscoelastically Damped Structures
    • Bagley, R. L., and Torvik, P. J. “Fractional Calculus-A Different Approach to the Finite Element Analysis of Viscoelastically Damped Structures,” AIAA Journal, Vol. 21, No. 5, 1983, pp. 741-748.
    • (1983) AIAA Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 12
    • 0010173982 scopus 로고
    • A Brief History and Exposition of the Fundamental Theory of Fractional Calculus
    • Springer, Verlag, New York
    • Ross, B. “A Brief History and Exposition of the Fundamental Theory of Fractional Calculus,” Lecture Notes in Mathematics, Vol. 457, Springer, Verlag, New York, 1975, pp. 1-36.
    • (1975) Lecture Notes in Mathematics , vol.457 , pp. 1-36
    • Ross, B.1
  • 13
    • 0020765202 scopus 로고
    • A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
    • Bagley, R. L., and Torvik, P. J. “A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity,” Journal of Rheology, Vol. 27, No. 3, 1983, pp. 201-210.
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 14
    • 85024658607 scopus 로고
    • A Family of Integral Representatives for the Solutions of the Diffusion Equation
    • Spring-Verlag, New York
    • Donaldson, J. A. “A Family of Integral Representatives for the Solutions of the Diffusion Equation,” Lecture Notes in Mathematics, Vol. 457, Spring-Verlag, New York, 1975, pp. 147-150.
    • (1975) Lecture Notes in Mathematics , vol.457 , pp. 147-150
    • Donaldson, J.A.1
  • 15
    • 85024629142 scopus 로고    scopus 로고
    • Personal Communication
    • Jones, D. I. G., Personal Communication.
    • Jones, D.I.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.