A PADE APPROXIMANT TO THE INVERSE LANGEVIN FUNCTION

被引:386
作者
COHEN, A
机构
[1] Dow Chemical Company Central Research, Midland, 48674, MI
关键词
INVERSE LANGEVIN FUNCTION; PADE APPROXIMATION; NONLINEAR MATERIAL MODELING;
D O I
10.1007/BF00366640
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Application of the methodology of Pade approximants to a Taylor expansion of the inverse Langevin function led to an accurate analytical expression. The approximation, retaining a finite extendibility of the Langevin spring, enables a convenient analysis of experimental data and analytical manipulations of material models.
引用
收藏
页码:270 / 273
页数:4
相关论文
共 7 条
[1]  
Baker GA., 1975, ESSENTIALS PADE APPR
[2]  
BAKER GA, 1970, PADE APPROXIMANT THE
[3]  
Baker Jr GA, 1961, J MATH ANAL APPL, V2, P21, DOI DOI 10.1016/0022-247X(61)90042-7
[4]  
Flory P.J., 1988, STATISTICAL MECHANIC
[5]  
Larson R., 1988, CONSTITUTIVE EQUATIO
[6]  
TRELOAR LRG, 1975, PHYSICS RUBBER ELAST
[7]   KINETIC-THEORY AND RHEOLOGY OF DILUTE SUSPENSIONS OF FINITELY EXTENDIBLE DUMBBELLS [J].
WARNER, HR .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1972, 11 (03) :379-&