A ZERO-PARAMETER CONSTITUTIVE RELATION FOR SIMPLE SHEAR VISCOELASTICITY

被引:7
作者
DYRE, JC
机构
[1] IMFUFA, Roskilde Universitetscenter, Roskilde, 4000
关键词
Cox-Merz rule; Shear flow; shear thinning; viscoelasticity;
D O I
10.1007/BF01332381
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Based on the Cox-Merz rule and Eyring's expression for the nonlinear shear viscosity, a Wagner-type constitutive relation with no nontrivial adjustable parameters is proposed for simple shear viscoelasticity. The predictions for a number of non-steady shear flows are worked out analytically. It is shown that most features of shear viscoelasticity are reproduced by the model. © 1990 Steinkopff.
引用
收藏
页码:145 / 151
页数:7
相关论文
共 20 条
[1]  
Abramowitz M.., 1972, HDB MATH FUNCTIONS
[2]  
[Anonymous], 1987, FLUID MECH-SOV RES
[3]  
BERSTED BH, 1976, J APPL POLYM SCI, V20, P2705, DOI 10.1002/app.1976.070201008
[4]   NON-LINEAR VISCOELASTICITY AND THE COX-MERZ RELATIONS FOR POLYMERIC FLUIDS [J].
BOOIJ, HC ;
LEBLANS, P ;
PALMEN, J ;
TIEMERSMATHOONE, G .
JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS, 1983, 21 (09) :1703-1711
[5]   A NONLINEAR VISCOELASTIC MODEL FOR POLYMER SOLUTIONS AND MELTS .2. [J].
CARREAU, PJ ;
MACDONAL.IF ;
BIRD, RB .
CHEMICAL ENGINEERING SCIENCE, 1968, 23 (08) :901-&
[6]   TIME-DEPENDENT STRESS IN POLYMER MELTS AND REVIEW OF VISCOELASTIC THEORY [J].
CHEN, IJ ;
BOGUE, DC .
TRANSACTIONS OF THE SOCIETY OF RHEOLOGY, 1972, 16 (01) :59-&
[7]   CORRELATION OF DYNAMIC AND STEADY FLOW VISCOSITIES [J].
COX, WP ;
MERZ, EH .
JOURNAL OF POLYMER SCIENCE, 1958, 28 (118) :619-622
[9]  
Kincaid JF, 1941, CHEM REV, V28, P301, DOI 10.1021/cr60090a005
[10]   RELATION BETWEEN STEADY SHEAR-FLOW AND DYNAMIC RHEOLOGY [J].
KULICKE, WM ;
PORTER, RS .
RHEOLOGICA ACTA, 1980, 19 (05) :601-605