FE formulation for the viscoelastic body modeled by fractional constitutive law

Acta Mechanica Sinica/Lixue Xuebao

Volumn 17, Issue 4, 2001, Pages 354-365

  Wei, Zhang ^a   Shimizu, Nobuyuki ^b  

^a JINAN UNIVERSITY   (China)

^b IWAKI MEISEI UNIVERSITY   (Japan)

Author keywords

FEM; Fractional calculus; Polymer materials; Viscoelasticity

Indexed keywords

FINITE ELEMENT METHOD; INTEGRATION; NUMERICAL METHODS; POLYMERS; THREE DIMENSIONAL;

FRACTIONAL CONSTITUTIVE LAW; INTEGRATION ALGORITHM; VISCOELASTIC MATERIALS;

VISCOELASTICITY;

EID: 0035521694     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02487463     Document Type: Article

References (11)

1. Polynomial operators, Stieltjes convolution and fractional calculus in hereditary mechanics
2. Computational algorithms for FE formulations involving fractional operators
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4. Application of fractional derivatives to seismic analysis of base-isolated models
5. On the fractional calculus model of viscoelastic behavior
6. Three-dimensional constitutive viscoelastic laws with fractional order time derivatives
7. Visco-hyperelastic model for filled rubbers used in vibration
8. On the linear theory of viscoelasticity
9. An introduction to fractional calculus and fractional differential and equations
10. Applications of fractional calculus to the theory of viscoelasticity
11. Numerical algorithm for dynamic problems involving fractional operators