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Deformation and microstructure in uniaxially stretched PE

  • B. Heise
  • H. -G. Kilian
  • W. Wulff
Conference paper
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 67)

Abstract

The stress-strain relation for uniaxially stretched PE ist discussed on the base for theory of real molecular networks with the crystals taking as active fillers. Microstructure changes by solid state deformation of the crystals, their local melting and recrystallization. The solid state transformations influence the deformation behaviour up to draw ratios of λ<3.

At higher draw ratios PE is transformed homogeneously with the crystals acting at least as plastic fillers. With a simple consideration of these structural processes a first approach to a quantitation description of stress-strain relationship is achieved.

Keywords

Draw Ratio Orientation Parameter Solid State Transformation Draw Direction Solid State Deformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

l0

original length of a sample

l

length of a stretched sample

λ=l/lo

draw ratio

\(\dot p\)

pressure

N

number of particles in a gas

k

Boltzmann constant

T

temperature (K)

N1

number of crosslinks in a network

ψ (λ)=(λ2+2/λ−3)/2

deformation function

ψ/λ(λ)=dψ/dλ=λλ−2

derivative of ψ(λ)

f

force per unit area

a, b

van der Waals parameters

a0, b0

parameters of real network theory

λm

theoretical maximal elongation of a network

fi(λ)=3<cos2ϱ>−1/2

orientation parameter

wc

degree of crystallinity

ϕ(λ)

parametric function designing relative amount of not sheared crystals

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References

  1. 1).
    Heise, B., H.-G. Kilian, M. Pietralla, Progr. Colloid & Polymer Sci. 62, 16 (1977).CrossRefGoogle Scholar
  2. 2).
    Martis, K. W., W. Wilke, Progr. Colloid & Polymer Sci. 62, 44 (1977).Google Scholar
  3. 3) a).
    Kanig, G., Progr. Colloid & Polymer Sci. 57, 176 (1975).Google Scholar
  4. 3) b).
    Kanig, G., Colloid & Polymer Sci. 251, 15 (1973).Google Scholar
  5. 4).
    Hosemann, R., J. Loboda-Čačkovič, H. Čačkovič, Ber. Bunsengesellschaft f. phys. Chemie 77, 1044 (1973).Google Scholar
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    Kilian, H.-G., Physikalische Blätter 35, 642 (1979).Google Scholar
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    Kilian, H.-G. (to be published in Polymer).Google Scholar
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    Pietralla, M., Colloid & Polymer Sci. 254, 249 (1976).CrossRefGoogle Scholar
  9. 8).
    Kilian, H.-G., D. Klattenhoff, Progr. Colloid & Polymer Sci. 64, 303 (1978).Google Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag 1980

Authors and Affiliations

  • B. Heise
    • 1
  • H. -G. Kilian
    • 1
  • W. Wulff
    • 1
  1. 1.Experimentelle Physik Oberer EselsbergUniversität UlmUlm

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