메뉴 건너뛰기




Volumn 35, Issue 8, 1997, Pages 1356-1362

Fractional integral formulation of constitutive equations of viscoelasticity

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; EQUATIONS OF MOTION; MATHEMATICAL MODELS; STIFFNESS;

EID: 0031198653     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.244     Document Type: Article
Times cited : (23)

References (14)
  • 1
    • 0001118613 scopus 로고
    • Internal Friction in Solids
    • Dec.
    • Kimball, A. L., and Lovell, D. E., "Internal Friction in Solids," Physical Review, Vol. 30, Dec. 1927, pp. 948-959.
    • (1927) Physical Review , vol.30 , pp. 948-959
    • Kimball, A.L.1    Lovell, D.E.2
  • 2
    • 0020751558 scopus 로고
    • Fractional Calculus - A Different Approach to the Analysis of Viscoelastically Damped Structures
    • Bagley, R. L., and Torvik, P. J., "Fractional Calculus - A Different Approach to the 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
  • 5
    • 0029722783 scopus 로고    scopus 로고
    • Time Domain FE-Analysis of Viscoelastic Structures Having Constitutive Relations Involving Fractional Derivative
    • Salt Lake City, UT, AIAA, Washington, DC
    • Enelund, M., and Josefson, B. L., "Time Domain FE-Analysis of Viscoelastic Structures Having Constitutive Relations Involving Fractional Derivative," Proceedings of the AIAA/ASME/ASCE/AHS 37th Structures, Structural Dynamics, and Materials Conference (Salt Lake City, UT), Vol. 2, AIAA, Washington, DC, 1996, pp. 685-694.
    • (1996) Proceedings of the AIAA/ASME/ASCE/AHS 37th Structures, Structural Dynamics, and Materials Conference , vol.2 , pp. 685-694
    • Enelund, M.1    Josefson, B.L.2
  • 6
    • 0026260899 scopus 로고
    • Fractional Integral Operators and Fox Functions in the Theory of Viscoelasticity
    • Glöckle, W. G., and Nonnenmacher, T. F., "Fractional Integral Operators and Fox Functions in the Theory of Viscoelasticity," Macromolecules, Vol. 24, No. 24, 1991, pp. 6426-6434.
    • (1991) Macromolecules , vol.24 , Issue.24 , pp. 6426-6434
    • Glöckle, W.G.1    Nonnenmacher, T.F.2
  • 7
    • 0027576635 scopus 로고
    • Mechanical Stress Relaxation in Polymers: Fractional Integral Model Versus Fractional Differential Model
    • Friedrich, C., "Mechanical Stress Relaxation in Polymers: Fractional Integral Model Versus Fractional Differential Model," Journal of Non-Newtonian Fluid Mechanics, Vol. 46, Nos. 2-3, 1993, pp. 307-314.
    • (1993) Journal of Non-Newtonian Fluid Mechanics , vol.46 , Issue.2-3 , pp. 307-314
    • Friedrich, C.1
  • 9
    • 0022660581 scopus 로고
    • On the Fractional Calculus Model of Viscoelastic Behavior
    • Bagley, R. L., and Torvik, P. J., "On the Fractional Calculus Model of Viscoelastic Behavior," Journal of Rheology, Vol. 30, No. 1, 1986, pp. 133-155.
    • (1986) Journal of Rheology , vol.30 , Issue.1 , pp. 133-155
    • Bagley, R.L.1    Torvik, P.J.2
  • 12
    • 0003864328 scopus 로고
    • California Inst. of Technology, Bateman Manuscript Project, McGraw-Hill, New York, Chap. 18
    • Bateman, H., Higher Transcendental Functions Vol. 3, California Inst. of Technology, Bateman Manuscript Project, McGraw-Hill, New York, 1955, Chap. 18.
    • (1955) Higher Transcendental Functions , vol.3
    • Bateman, H.1
  • 13
    • 84981825145 scopus 로고
    • Definition of Physically Consistent Damping Laws with Fractional Derivatives
    • Beyer, H., and Kempfle, S., "Definition of Physically Consistent Damping Laws with Fractional Derivatives," Zeitschrift für Angewandte Mathematik und Mechanic, Vol. 75, No. 8, 1995, pp. 623-635.
    • (1995) Zeitschrift für Angewandte Mathematik und Mechanic , vol.75 , Issue.8 , pp. 623-635
    • Beyer, H.1    Kempfle, S.2
  • 14
    • 0000824896 scopus 로고    scopus 로고
    • Modal Synthesis when Modeling Damping by Use of Fractional Derivatives
    • Fenander, Å., "Modal Synthesis when Modeling Damping by Use of Fractional Derivatives," AIAA Journal, Vol. 34, No. 5, 1996, pp. 1051-1058.
    • (1996) AIAA Journal , vol.34 , Issue.5 , pp. 1051-1058
    • Fenander, Å.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.