PARTITION-FUNCTION AND FORCE EXTENSION RELATION FOR A GENERALIZED FREELY JOINTED CHAIN

被引:33
作者
GLATTING, G [1 ]
WINKLER, RG [1 ]
REINEKER, P [1 ]
机构
[1] UNIV ULM,THEORET PHYS ABT,ALBERT EINSTEIN ALLEE 11,D-89081 ULM,GERMANY
关键词
D O I
10.1021/ma00074a033
中图分类号
O63 [高分子化学(高聚物)];
学科分类号
070305 ; 080501 ; 081704 ;
摘要
We introduce a generalized freely jointed chain and calculate analytically its partitions function and force extension relation. The generalization allows for arbitrary single segment partition functions and arbitrary dimensions. New quantitative and qualitative features of the chain are obtained for segments with internal structure. As an example we analyze the Mooney-Rivlin plot for the force elongation relation of polymer networks and find excellent agreement with experimental data.
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收藏
页码:6085 / 6091
页数:7
相关论文
共 25 条
[11]  
KRAUS V, 1992, PROGR COLLOID POLYM, V90
[12]  
KRAUS V, COMMUNICATION
[13]   Relationship between molecular size, static molecular shape and elastic characteristics of high polymer materials [J].
Kuhn, W .
KOLLOID-ZEITSCHRIFT, 1936, 76 (03) :258-271
[14]   Concerning the shape of thread shapes molecules in solution [J].
Kuhn, W .
KOLLOID-ZEITSCHRIFT, 1934, 68 (01) :2-15
[15]   Relations between elastic constants and the strain birefringence of high-elastic substances [J].
Kuhn, W ;
Grun, F .
KOLLOID-ZEITSCHRIFT, 1942, 101 (03) :248-271
[16]   A theory of large elastic deformation [J].
Mooney, M .
JOURNAL OF APPLIED PHYSICS, 1940, 11 (09) :582-592
[17]  
REINEKER P, 1991, LARGE SCALE MOL SYST
[18]  
SPERLING LH, 1986, INTRO PHYSICAL POLYM
[19]   THE STATISTICAL LENGTH OF LONG-CHAIN MOLECULES [J].
TRELOAR, LRG .
TRANSACTIONS OF THE FARADAY SOCIETY, 1946, 42 (1-2) :77-82
[20]  
TRELOAR LRG, 1975, PHYSICS RUBBER ELAST