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The layer-structure transition of glass-fiber-reinforced composite materials

  • Senji Hamanaka , Chisato Nonomura und Atsushi Yokoyama EMAIL logo
Veröffentlicht/Copyright: 25. Dezember 2019
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Abstract

This study aims to investigate whether the layer-structure transition governed by fiber orientation is caused by the change in the elongational strain field or by the change in the shear strain field during the filling process in injection molding using short-fiber-reinforced thermoplastic resin. To this end, a polyamide 6 containing 30 wt% of short-fiber glass was compounded, and a simple plate was injection-molded. The fiber orientation of the plate was observed via X-ray computed tomography, and the fiber orientation distribution was quantified as fiber orientation tensors. The transition of the layer structure, which is mainly composed of the shell layer and core layer during the filling process, was evaluated on the basis of the fiber orientation distribution. The experimental results were compared with velocity information obtained via flow analysis of elongational and shear strain fields. The results showed that flow induction affects the layer-structure transition and that the transition occurs because of changes in the elongational strain field and not because of changes in the shear strain field during the filling process. Thus, the elongational strain field is an important consideration when modeling fiber orientation.

Acknowledgments

We thank T. Wakano and Y. Tanida for assistance with experiments and for useful discussions. This work was supported by the Kyoto Prefecture Textile Machinery and Metals Promotion Center.

Appendix 1

Information of flow analysis model

The governing equations in the Hele-Shaw flow are expressed as follows:

(1)px=z(ηuz),py=z(ηvz)
(2)(u¯)x+(v¯)y=0
(3)ρCp(Tt+u¯Tx+v¯Ty)=k2Tz2+ηγ˙2

Equation (1) is the equation of motion (Navier-Stokes equation), Equation (2) is the continuity equation, and Equation (3) is the energy equation. In these equations, (u, v) is the velocity component in the (x, y) direction, (u¯,v¯) is the average value in the thickness direction of each flow velocity component, ρ is density, t is time, p is pressure, η is viscosity, Cp is the specific heat capacity, k is thermal conductivity, and γ˙ is the shear rate. Appendix Figure 9A and B show the specific heat and thermal conductivity data used in the analysis. The viscosity equations of the Cross-WLF model are expressed as

Figure 9: (A) The specific heat capacity and (B) the thermal conductivity for numerical analysis.
Figure 9:

(A) The specific heat capacity and (B) the thermal conductivity for numerical analysis.

(4)η=η01+(η0γ˙τ*)1n
(5)η0=D1exp[A1(TT*)A2+(TT*)]

In Equation (4), η is viscosity, η0 is the zero-shear viscosity, γ˙ is the shear rate, τ* is the critical shear stress level at the transition point to shear thinning flow behavior, and n is the power-law index at high shear rate. In Equation (5), T is the temperature, T* is the glass-transition temperature, A2=A3+D3p, and T*=D2+D3p, p is the pressure. Parameters τ*, n, D1, D2, D3, A1, and A3 are fitting coefficients. The fitting coefficients of Equations (4) and (5) were determined according to the shear viscosity measured by a capillary rheometer. The parameter values are τ*=1.354×105 Pa, n=0.163 (dimensionless), D1=6.414×1010 Pa s, D2=4.002×102 K, D3=0.000 K/Pa, A1=2.700×101 (dimensionless), and A3=5.160×101 K; (Pa) means Pascal, (s) means second, (K) means Kelvin, and (k) means kilo.

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Received: 2019-06-30
Accepted: 2019-10-12
Published Online: 2019-12-25
Published in Print: 2019-12-18

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