FRACTIONAL DIFFUSION EQUATION AND RELAXATION IN COMPLEX VISCOELASTIC MATERIALS

被引：164

作者：

GIONA, M ^{[1
]}

CERBELLI, S ^{[1
]}

ROMAN, HE ^{[1
]}

机构：

[1] UNIV HAMBURG,INST THEORET PHYS 1,W-2000 HAMBURG 36,GERMANY

来源：

PHYSICA A | 1992年 / 191卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(92)90566-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A fractional equation describing relaxation phenomena in complex viscoelastic materials is derived by employing a formal analogy between linear viscoelasticity and diffusion in a disordered structure. From this analogy, a power-law relaxation follows which is in agreement with experimental results obtained in many complex viscoelastic materials.

引用

收藏

页码：449 / 453

页数：5

相关论文

共 18 条

[1] A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY [J].

BAGLEY, RL ;

TORVIK, PJ .

JOURNAL OF RHEOLOGY, 1983, 27 (03) :201-210

[2] LIMITATIONS OF THE NEWTONIAN TIME SCALE IN RELATION TO NON-EQUILIBRIUM RHEOLOGICAL STATES AND A THEORY OF QUASI-PROPERTIES [J].

BLAIR, GWS ;

VEINOGLOU, BC ;

CAFFYN, JE .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1947, 189 (1016) :69-87

[3]

Bunde A., 1991, FRACTALS DISORDERED

[4] ARCHITECTURE OF GELATIN GELS [J].

DJABOUROV, M .

CONTEMPORARY PHYSICS, 1988, 29 (03) :273-297

[5]

Family F., 1984, KINETICS AGGREGATION

[6]

FRIEDRICH C, 1990, RHEOLOGICAL MODELLIN, P321

[7] A method of analyzing experimental results obtained from elasto-viscous bodies [J].

Gemant, Andrew .

PHYSICS-A JOURNAL OF GENERAL AND APPLIED PHYSICS, 1936, 7 (01) :311-317

[8] FRACTIONAL DIFFUSION EQUATION FOR TRANSPORT PHENOMENA IN RANDOM-MEDIA [J].

GIONA, M ;

ROMAN, HE .

PHYSICA A, 1992, 185 (1-4) :87-97

[9] FRACTIONAL DIFFUSION EQUATION ON FRACTALS - ONE-DIMENSIONAL CASE AND ASYMPTOTIC-BEHAVIOR [J].

GIONA, M ;

ROMAN, HE .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (08) :2093-2105

[10] DIFFUSION IN DISORDERED MEDIA [J].

HAVLIN, S ;

BENAVRAHAM, D .

ADVANCES IN PHYSICS, 1987, 36 (06) :695-798