DOI: 10.1063/1.1743358. Viscoelastic Theory of Branched and Cross-Linked Polymers

Viscoelastic Theory of Branched and Cross-Linked Polymers

10.1063/1.1743358

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A model of polymer chain motions is developed which in the limit of long, flexible chains can readily be applied to branched chain and cross-linked systems. The equation governing the motion of a chain takes the form of a differential equation rather than the form of the large set of difference equations that occur in most other treatments. The present model gives essentially the same distribution of relaxation times for linear polymers as previous treatments, and it also gives the same dependence of viscosity upon branching as the theories based on the effective radius of randomly coiled chains. In addition to this information, the theory yields the distribution of relaxation times for branched chain polymers, permitting, for example, the calculation of the energy stored in steady state shear. The relaxation time distribution of several models of a cross-linked polymer is also calculated, and the relationship of this distribution function to that of the uncross-linked materials is discussed.

Bibliography

Ham, J. S. (1957). Viscoelastic Theory of Branched and Cross-Linked Polymers. The Journal of Chemical Physics, 26(3), 625â633.

Authors 1

Joe S. Ham (first)

References 26 Referenced 106

10.1063/1.1699180 / J. Chem. Phys. (1953)
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10.1063/1.1742462 / J. Chem. Phys. (1956)
10.1021/j150523a029 / J. Phys. Chem. (1955)
10.1021/j150521a012 / J. Phys. Chem. (1954)
10.1063/1.1721997 / J. Appl. Phys. (1955)
10.1063/1.1722082 / J. Appl. Phys. (1955)
{'key': '2024020817131825900_r10'}
10.1143/JPSJ.10.804 / J. Phys. Soc. Japan (1955)
10.1002/pol.1956.120199104 / J. Polymer Sci. (1956)
10.1063/1.1699299 / J. Chem. Phys. (1953)
10.1063/1.1747157 / J. Chem. Phys. (1949)
10.1021/ja01120a007 / J. Am. Chem. Soc. (1953)
{'key': '2024020817131825900_r16'}
10.1021/j150521a012 / J. Phys. Chem. (1954)
10.1111/j.1749-6632.1953.tb36408.x / Ann. N.Y. Acad. Sci. (1953)
{'key': '2024020817131825900_r19', 'first-page': '1294', 'volume': '25', 'year': '1956', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1956)
{'key': '2024020817131825900_r20'}
{'key': '2024020817131825900_r21'}
10.1021/ja01188a026 / J. Am. Chem. Soc. (1948)
{'key': '2024020817131825900_r23', 'first-page': '542', 'volume': 'A222', 'year': '1954', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1954)
10.1002/pol.1955.120178506 / J. Polymer Sci. (1955)
{'key': '2024020817131825900_r25'}

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 8:40 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 1 p.m.)
Indexed	2 months ago (July 1, 2025, 9:07 a.m.)
Issued	68 years, 6 months ago (March 1, 1957)
Published	68 years, 6 months ago (March 1, 1957)
Published Print	68 years, 6 months ago (March 1, 1957)

Funders 0

None

BibTeX

@article{Ham_1957, title={Viscoelastic Theory of Branched and Cross-Linked Polymers}, volume={26}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1743358}, DOI={10.1063/1.1743358}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Ham, Joe S.}, year={1957}, month=mar, pages={625–633} }

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