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Volumn 43, Issue 12, 2011, Pages 799-806

Visco-elastic behavior through fractional calculus: An easier method for best fitting experimental results

Author keywords

Creep function; Fractional calculus; Power law; Relaxation function; Visco elastic

Indexed keywords

CREEP FUNCTIONS; FRACTIONAL CALCULUS; POWER LAW; RELAXATION FUNCTIONS; VISCO-ELASTIC;

EID: 80053927109     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2011.08.016     Document Type: Article
Times cited : (325)

References (20)
  • 1
    • 0000242586 scopus 로고
    • A generalized derivative model for an elastomer damper
    • R.L. Bagley, and P.J. Torvik A generalized derivative model for an elastomer damper The Shock and Vibration Bulletin 49 1979 135 143
    • (1979) The Shock and Vibration Bulletin , vol.49 , pp. 135-143
    • Bagley, R.L.1    Torvik, P.J.2
  • 2
    • 0020765202 scopus 로고
    • A theoretical basis for the application of fractional calculus
    • DOI 10.1122/1.549724
    • R.L. Bagley, and P.J. Torvik A theoretical basis for the application of fractional calculus Journal of Rheology 27 1983 201 210 (Pubitemid 13540406)
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 4
    • 0022660581 scopus 로고
    • On the fractional calculus model of viscoelastic behavior
    • DOI 10.1122/1.549887
    • R.L. Bagley, and P.J. Torvik On the fractional calculus model of viscoelastic behavior Journal of Rheology 30 1 1986 133 155 (Pubitemid 16535851)
    • (1986) Journal of Rheology , vol.30 , Issue.1 , pp. 133-155
    • Bagley, R.L.1    Torvik, P.J.2
  • 6
    • 81055155157 scopus 로고    scopus 로고
    • An accelerated newmark scheme for integrating the equation of motion of nonlinear systems comprising restoring elements governed by fractional derivatives
    • 10.1007/978-94-007-0557-9-9
    • G.I. Evangelatos, and P.D. Spanos An accelerated newmark scheme for integrating the equation of motion of nonlinear systems comprising restoring elements governed by fractional derivatives Recent Advances in Mechanics I 2011 159 177 10.1007/978-94-007-0557-9-9
    • (2011) Recent Advances in Mechanics , vol.1 , pp. 159-177
    • Evangelatos, G.I.1    Spanos, P.D.2
  • 7
    • 0004058705 scopus 로고
    • Blaisdell Publishing Company Massachusetts
    • W. Flugge Viscoelasticity 1967 Blaisdell Publishing Company Massachusetts
    • (1967) Viscoelasticity
    • Flugge, W.1
  • 8
    • 0345218900 scopus 로고
    • A method of analyzing experimental results obtained by elasto-viscous bodies
    • A. Gemant A method of analyzing experimental results obtained by elasto-viscous bodies Physics 7 1936 311 317
    • (1936) Physics , vol.7 , pp. 311-317
    • Gemant, A.1
  • 11
    • 67649154697 scopus 로고    scopus 로고
    • Time-fractional derivatives in relaxation processes: A tutorial survey
    • F. Mainardi, and R. Gorenflo Time-fractional derivatives in relaxation processes: a tutorial survey Fractional Calculus and Applied Analysis 10 3 2007 269 308
    • (2007) Fractional Calculus and Applied Analysis , vol.10 , Issue.3 , pp. 269-308
    • Mainardi, F.1    Gorenflo, R.2
  • 13
    • 81055137900 scopus 로고    scopus 로고
    • Stationary and non-stationary stochastic response of linear fractional viscoelastic systems
    • doi:10.1016/j.probengmech.2011.08.017 in press
    • Di Paola, M.; Failla, G.; Pirrotta, A.; 2011. Stationary and non-stationary stochastic response of linear fractional viscoelastic systems. Probabilistic Engineering Mechanics in press. doi:10.1016/j.probengmech.2011.08. 017.
    • (2011) Probabilistic Engineering Mechanics
    • Di Paola, M.1    Failla, G.2    Pirrotta, A.3
  • 14
    • 0004249218 scopus 로고
    • Lectures on viscoelasticity theory
    • Springer-Verlag
    • A. Pipkin Lectures on viscoelasticity theory Applied Mathematical Sciences 1972 Springer-Verlag
    • (1972) Applied Mathematical Sciences
    • Pipkin, A.1
  • 15
    • 81055155155 scopus 로고    scopus 로고
    • On Solving Fractional Differential Equations by Mathematics
    • Academic Press
    • I. Podlubny On Solving Fractional Differential Equations by Mathematics Science and Engineering vol. 198 1999 Academic Press
    • (1999) Science and Engineering , vol.198
    • Podlubny, I.1
  • 17
    • 36149037022 scopus 로고
    • Hierarchical analogues to fractional relaxation equations
    • H. Schiessel, and A. Blumen Hierarchical analogues to fractional relaxation equations Journal of Physics A 26 1993 5057 5069
    • (1993) Journal of Physics A , vol.26 , pp. 5057-5069
    • Schiessel, H.1    Blumen, A.2
  • 18
    • 0036650160 scopus 로고    scopus 로고
    • Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
    • DOI 10.1023/A:1016552503411, Fractional Order Calculus and Its Applications
    • A. Schmidt, and L. Gaul Finite element formulation of viscoelastic constitutive equations using fractional time derivatives Non linear Dynamics 29 2002 37 55 (Pubitemid 34945392)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 37-55
    • Schmidt, A.1    Gaul, L.2
  • 19
    • 0010127267 scopus 로고
    • An application of the theory of quasi-properties to the treatment of anomalous strain-stress relations
    • G.W. Scott-Blair, and J.E. Gaffyn An application of the theory of quasi-properties to the treatment of anomalous strain-stress relations The Philosophical Magazine 40 1949 80 94
    • (1949) The Philosophical Magazine , vol.40 , pp. 80-94
    • Scott-Blair, G.W.1    Gaffyn, J.E.2
  • 20
    • 0018505722 scopus 로고
    • On the application of fractional calculus on the formulation of viscoelastic models
    • M. Stiassnie On the application of fractional calculus on the formulation of viscoelastic models Applied Mathematical Modelling 3 1979 300 302 (Pubitemid 10420704)
    • (1979) Applied Mathematical Modelling , vol.3 , Issue.4 , pp. 300-302
    • Stiassnie, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.