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  • The aim of this contribution is to study a generalised form of the basic integral expressing a ratio of the lengths of a random walk molecule in deformed and undeformed state. This generalization consists in raising the corresponding integrand to the 2p power for which the special cases are met in several constitutive models describing behaviour of polymeric materials. For determining the integral there was found a recurrence equation providing a solution for any real p. There was found an asymptotic solution for the recurrence equation, p>0, which provides a basis for the approximations of the integral for p is an element of [0,1].
  • The aim of this contribution is to study a generalised form of the basic integral expressing a ratio of the lengths of a random walk molecule in deformed and undeformed state. This generalization consists in raising the corresponding integrand to the 2p power for which the special cases are met in several constitutive models describing behaviour of polymeric materials. For determining the integral there was found a recurrence equation providing a solution for any real p. There was found an asymptotic solution for the recurrence equation, p>0, which provides a basis for the approximations of the integral for p is an element of [0,1]. (en)
Title
  • On the approximation of the generalised stretch function
  • On the approximation of the generalised stretch function (en)
skos:prefLabel
  • On the approximation of the generalised stretch function
  • On the approximation of the generalised stretch function (en)
skos:notation
  • RIV/67985874:_____/11:00361178!RIV12-AV0-67985874
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  • P(GA103/09/2066), Z(AV0Z20600510)
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  • 218169
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  • RIV/67985874:_____/11:00361178
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  • polymers; molecule length; stretch function; recurrence equation; finger tensor; cauchy tensor (en)
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  • [B121D2274DF8]
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  • Zlín
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  • Melville, New York
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  • Novel Trends in Rheology IV
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  • Filip, Petr
  • Kharlamov, Alexander A.
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number of pages
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  • 10.1063/1.3604464
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  • American Institute of Physics
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  • 978-0-7354-0935-4
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