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Volumn 33, Issue 3, 2003, Pages 301-321

Fractional derivative viscoelasticity at large deformations

Author keywords

Fractional derivatives; Large deformations; Structural dynamics; Viscoelasticity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; THREE DIMENSIONAL;

EID: 0242667817     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026003130033     Document Type: Article
Times cited : (72)

References (23)
  • 1
    • 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 21, 1983, 741-748.
    • (1983) AIAA Journal , vol.21 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 2
    • 0033314210 scopus 로고    scopus 로고
    • Application of time-based fractional calculus methods to viscoelastic creep and stress relaxation of materials
    • Welch, S. W. J., Rorrer, R. A. L., and Duren Jr., R. G., 'Application of time-based fractional calculus methods to viscoelastic creep and stress relaxation of materials', Mechanics of Time-Dependent Materials 3, 1999, 279-303.
    • (1999) Mechanics of Time-Dependent Materials , vol.3 , pp. 279-303
    • Welch, S.W.J.1    Rorrer, R.A.L.2    Duren Jr., R.G.3
  • 3
    • 34250103892 scopus 로고
    • Computational algorithms for FE formulations involving fractional operators
    • Padovan, J., 'Computational algorithms for FE formulations involving fractional operators', Computational Mechanics 2, 1987, 271-287.
    • (1987) Computational Mechanics , vol.2 , pp. 271-287
    • Padovan, J.1
  • 4
    • 0033149442 scopus 로고    scopus 로고
    • Formulation and integration of the standard linear viscoelastic solid with fractional order rate laws
    • Enelund, M., Mähler, L., Runesson, K., and Josefson, B. L., 'Formulation and integration of the standard linear viscoelastic solid with fractional order rate laws', International Journal of Solids and Structures 36, 1999, 2417-2442.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 2417-2442
    • Enelund, M.1    Mähler, L.2    Runesson, K.3    Josefson, B.L.4
  • 5
    • 0036650160 scopus 로고    scopus 로고
    • Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
    • Schmidt, A. and Gaul, L., 'Finite element formulation of viscoelastic constitutive equations using fractional time derivatives', Nonlinear Dynamics 29, 2002, 37-55.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 37-55
    • Schmidt, A.1    Gaul, L.2
  • 6
    • 0023288184 scopus 로고
    • On a fully three dimensional finite strain viscoelastic damage model: Formulation and computational aspects
    • Simo, J. C., 'On a fully three dimensional finite strain viscoelastic damage model: Formulation and computational aspects', Computer Methods in Applied Mechanics and Engineering 60, 1987, 153-173.
    • (1987) Computer Methods in Applied Mechanics and Engineering , vol.60 , pp. 153-173
    • Simo, J.C.1
  • 7
    • 0030214837 scopus 로고    scopus 로고
    • A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
    • Simo, J. C. and Holzapfel, G. A., 'A new viscoelastic constitutive model for continuous media at finite thermomechanical changes', International Journal of Solids and Structures 33, 1996, 3019-3034.
    • (1996) International Journal of Solids and Structures , vol.33 , pp. 3019-3034
    • Simo, J.C.1    Holzapfel, G.A.2
  • 8
    • 0030290869 scopus 로고    scopus 로고
    • On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures
    • Holzapfel, G. A., 'On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures', International Journal for Numerical Methods in Engineering 39, 1996, 3903-3926.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 3903-3926
    • Holzapfel, G.A.1
  • 12
    • 0031188963 scopus 로고    scopus 로고
    • A presentation and comparison of two large deformation viscoelasticity models
    • Reese, S. and Govindjee, S., 'A presentation and comparison of two large deformation viscoelasticity models', Journal of Engineering Materials and Technology 119, 1997, 251-255.
    • (1997) Journal of Engineering Materials and Technology , vol.119 , pp. 251-255
    • Reese, S.1    Govindjee, S.2
  • 14
    • 0033097283 scopus 로고    scopus 로고
    • Damping described by fading memory - Analysis and application to fractional derivative models
    • Enelund, M. and Olsson, P., 'Damping described by fading memory - Analysis and application to fractional derivative models', International Journal of Solids and Structures 36, 1999, 939-970.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 939-970
    • Enelund, M.1    Olsson, P.2
  • 16
    • 0032654412 scopus 로고    scopus 로고
    • Time domain modeling of damping using anelastic displacement fields and fractional calculus
    • Enelund, M. and Lesieutre, G. A., 'Time domain modeling of damping using anelastic displacement fields and fractional calculus', International Journal of Solids and Structures 36, 1999, 4447-4472.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 4447-4472
    • Enelund, M.1    Lesieutre, G.A.2
  • 17
    • 0031285474 scopus 로고    scopus 로고
    • On the thermodynamics of fractional damping elements
    • Lion, A., 'On the thermodynamics of fractional damping elements', Continuum Mechanics and Thermodynamics 9, 1997, 83-96.
    • (1997) Continuum Mechanics and Thermodynamics , vol.9 , pp. 83-96
    • Lion, A.1
  • 23
    • 0031259296 scopus 로고    scopus 로고
    • Time-domain finite element analysis of viscoelastic structures with fractional derivatives constitutive relations
    • Enelund, M. and Josefson, B. L., 'Time-domain finite element analysis of viscoelastic structures with fractional derivatives constitutive relations', AIAA Journal 35, 1997, 1630-1637.
    • (1997) AIAA Journal , vol.35 , pp. 1630-1637
    • Enelund, M.1    Josefson, B.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.