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Description
  • The tube theory represents a powerful tool for the description of polymer behaviour. In this theory, the term in the form of an integral over a full solid angle of a magnitude of deformed unit vector represents the stretch function. This term relates the lengths of the random walk of a molecule in deformed and undeformed states. For the case of the Doi-Edwards model, the integrand is raised to a power of one, however, for other models the power differs from one. The aim of this contribution is to derive an analytical algebraic approximation of a general form of this integral with the integrand raised to an arbitrary power within the physically justified interval between zero and two.
  • The tube theory represents a powerful tool for the description of polymer behaviour. In this theory, the term in the form of an integral over a full solid angle of a magnitude of deformed unit vector represents the stretch function. This term relates the lengths of the random walk of a molecule in deformed and undeformed states. For the case of the Doi-Edwards model, the integrand is raised to a power of one, however, for other models the power differs from one. The aim of this contribution is to derive an analytical algebraic approximation of a general form of this integral with the integrand raised to an arbitrary power within the physically justified interval between zero and two. (en)
Title
  • On the generalised stretch function
  • On the generalised stretch function (en)
skos:prefLabel
  • On the generalised stretch function
  • On the generalised stretch function (en)
skos:notation
  • RIV/67985874:_____/12:00376980!RIV13-AV0-67985874
http://linked.open...avai/riv/aktivita
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  • P(GA103/09/2066), Z(AV0Z20600510)
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  • 4
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  • 156400
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  • RIV/67985874:_____/12:00376980
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  • molecular length; recurrence equations; rubber; strain; stretch functions (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
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  • [ED9481C63FA4]
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  • Macromolecular Theory and Simulations
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  • 21
http://linked.open...iv/tvurceVysledku
  • Filip, Petr
  • Kharlamov, Alexander A.
http://linked.open...ain/vavai/riv/wos
  • 000303920300007
http://linked.open...n/vavai/riv/zamer
issn
  • 1022-1344
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/mats.201100102
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