1976
DOI: 10.1016/0020-7683(76)90036-6
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Asymptotic modulus results for composites containing randomly oriented fibers

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Cited by 38 publications
(15 citation statements)
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“…Other authors have considered the effects of fibre orientation distribution [15][16][17] and based their analyses on slightly different models; in all cases the output values are numerically very close. Using the approach of Krenchel (Eq.…”
Section: Fibre Orientationmentioning
confidence: 89%
See 1 more Smart Citation
“…Other authors have considered the effects of fibre orientation distribution [15][16][17] and based their analyses on slightly different models; in all cases the output values are numerically very close. Using the approach of Krenchel (Eq.…”
Section: Fibre Orientationmentioning
confidence: 89%
“…The only unknown parameters in the model Eqs. (16) and (17) are then the fibre correlated porosity constant (a pf ) and the maximum obtainable fibre volume fraction (V f max ). These two parameters were adjusted to be 0.121 for a pf and 0.407 for V f max to obtain the best possible fit of the experimental stiffness data.…”
Section: Gl/ppmentioning
confidence: 99%
“…Figure 5 compares the experimentally measured Young’s modulus of CNFs/epoxy nanocomposites with the values predicted using Christensen’s model [25]. The predicted values given by Christensen’s model showed a good agreement with the experimental observation of E c except at CNFs contents above 1.0 wt % CNFs.…”
Section: Resultsmentioning
confidence: 52%
“…To better understand the significance of fillers/fibers on the mechanical properties of polymer composites, a number of models exist in the literature [23,24,25]. We further examine here the model by Christensen [24] to predict the elastic modulus of CNFs/epoxy nanocomposites: Ec= Vf6 Ef+ [11Vf (1+Vf4+ Vf26)Em] where E c , E m and E f are the moduli of composite, matrix and filler respectively and V f is the filler/fiber volume fraction.…”
Section: Resultsmentioning
confidence: 99%
“…For the two dimensional case (i.e. fibres aligned in the plane of the laminate only) this gives in simplified form (Christensen, 1976).…”
Section: Christensen Equationmentioning
confidence: 99%