Mathematical Equation
Mathematical constitutive equations describe the non-Newtonian shear thinning behavior of polymers during the high-pressure stages of circuit board lamination. The carreau-yasuda model specifically maps how resin viscosity drops under increasing shear rates until reaching a lower limiting value. It accounts for the transition region between the zero-shear plateau and the power-law regime.
Flow Prediction
Software simulations utilize these parameters to predict how prepreg resin fills narrow gaps between copper traces during the lamination process. This specific model allows engineers to adjust the transition parameter and the power law index to match the behavior of specialized high-temperature resins. Accurate modelling prevents the formation of voids or thin spots during the press cycle.
The model provides a smooth transition between the zero-shear viscosity and the shear-thinning region, which is essential for capturing the flow behavior during the initial ramp-up of the lamination press. Without this level of detail, the simulation might overestimate the flow rate and lead to incorrect pressure settings.
Lamination Control
Rheological testing provides the empirical data required to fit the curve to a specific material batch. Variations in the relaxation time constant within the carreau-yasuda model indicate changes in polymer chain length or branching. Consistent curve fitting ensures that the lamination press operates within the optimal rheological window for the entire production run.