A modified Zener model of a viscoelastic body

被引：97

作者：

Atanackovic, TM

机构：

[1] TU Berlin, Inst Verfahrenstech, Sekr HF 2, D-10623 Berlin, Germany

[2] Univ Novi Sad, Fac Tech Sci, YU-21000 Novi Sad, Yugoslavia

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2002年 / 14卷 / 02期

关键词：

Viscoelastic Body; Zener Model;

D O I：

10.1007/s001610100056

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

By using an internal variable method, we study a fractional derivative type model for uniaxial, isothermal deformation of a viscoelastic body. It is a generalization of a Zener model. Entropy inequality and minimum of free energy conditions are used to determine restrictions on coefficients in the constitutive equation. The asymptotic behavior in creep and stress relaxation tests are analysed in detail.

引用

页码：137 / 148

页数：12

共 11 条

[1] ON THE FRACTIONAL CALCULUS MODEL OF VISCOELASTIC BEHAVIOR [J].

BAGLEY, RL ;

TORVIK, PJ .

JOURNAL OF RHEOLOGY, 1986, 30 (01) :133-155

[2]

DOETSCH G, 1967, ANLEITUNG PRAKTISCHE

[3]

Erdelyi A., 1953, Higher Transcendental Functions, California Institute of Technology. Bateman Manuscript Project, V1

[4]

Gorenflo R., 1997, FRACTALS FRACTIONAL, P223, DOI DOI 10.1007/978-3-7091-2664-6_5

[5]

GORENFLO R, 1997, A0497 FREIE U

[6] On the thermodynamics of fractional damping elements [J].

Lion, A .

CONTINUUM MECHANICS AND THERMODYNAMICS, 1997, 9 (02) :83-96

[7]

Oldham KB, 1974, Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

[8] Visco-hyperelastic model for filled rubbers used in vibration isolation [J].

Papoulia, KD ;

Kelly, JM .

JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1997, 119 (03) :292-297

[9]

PODLUBNY I, 1994, TRANSFORM METHODS SP, P227

[10] Analysis of four-parameter fractional derivative model of real solid materials [J].

Pritz, T .

JOURNAL OF SOUND AND VIBRATION, 1996, 195 (01) :103-115

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