This paper presents a systematic investigation into solving shrinkage defects in heavy-section ductile iron castings through optimized feeding system design. Focusing on a complex excavator steering component weighing 81.5kg with multiple isolated hot spots (maximum hot spot diameter: $Ø60$ mm), we demonstrate how strategic placement of feeding risers significantly impacts casting integrity.

1. Metallurgical Principles of Ductile Iron Solidification
The solidification behavior of ductile iron casting follows unique patterns due to graphite expansion effects. The solidification shrinkage ($S$) can be expressed as:
$$S = \alpha \cdot V_m \cdot (T_p – T_s) + \beta \cdot V_g$$
Where:
$\alpha$ = liquid contraction coefficient
$V_m$ = metallic volume
$T_p$ = pouring temperature
$T_s$ = solidus temperature
$\beta$ = graphite expansion coefficient
$V_g$ = graphite volume
2. Initial Process Design and Defect Analysis
The original side-feeding system using 80/110 exothermic sleeves showed inadequate performance:
| Parameter | Initial Design | With Chill |
|---|---|---|
| Shrinkage Area (mm²) | 740 | 65 |
| Maximum Void (mm) | 8×3 | 1×3 |
| Feeding Efficiency | 42% | 68% |
The feeding efficiency ($\eta$) was calculated using:
$$ \eta = \frac{V_c – V_d}{V_r} \times 100\% $$
Where $V_c$ = casting volume, $V_d$ = defective volume, and $V_r$ = riser volume.
3. Optimized Top-Feeding System Design
Key modifications to the ductile iron casting process included:
- Riser position: Directly above thermal center
- Neck geometry: Circular (Ø35 mm vs rectangular 45×25 mm)
- Neck length reduction: 15 mm (vs original 30 mm)
| Parameter | Side Feeding | Top Feeding |
|---|---|---|
| Solidification Time Ratio | 1.8:1 | 2.5:1 |
| Feeding Distance (mm) | 120 | 65 |
| Pressure Head (kPa) | 4.2 | 6.8 |
4. Thermal Analysis and Solidification Control
The modified Niyama criterion for ductile iron casting was applied:
$$ N_{mod} = \frac{G}{\sqrt{\dot{T}}} \cdot f_{ge} $$
Where:
$G$ = Temperature gradient (K/mm)
$\dot{T}$ = Cooling rate (K/s)
$f_{ge}$ = Graphite expansion factor (1.2-1.5)
5. Industrial Validation Results
Comparative results from production trials:
| Quality Parameter | Side Feeding | Top Feeding |
|---|---|---|
| X-ray Class | 3-4 | 1-2 |
| UT Pass Rate | 72% | 98% |
| Yield Improvement | – | 14% |
6. Computational Fluid Dynamics Verification
Simulation results confirmed the superiority of top-feeding in ductile iron casting:
$$ t_{crit} = \frac{(T_p – T_s)^2}{k \cdot \rho \cdot c} \cdot \ln\left(\frac{h}{h_0}\right) $$
Where:
$k$ = thermal conductivity
$\rho$ = density
$c$ = specific heat
$h$ = modulus difference
7. Process Optimization Guidelines
For complex ductile iron castings with multiple hot spots:
- Prioritize top-feeding when $Ø_{hotspot} > 40$ mm
- Maintain riser neck aspect ratio < 1.5:1
- Ensure feeding distance < 2.5×section thickness
This systematic approach demonstrates that strategic riser placement combined with thermal control can effectively eliminate shrinkage defects in heavy-section ductile iron castings, achieving quality levels exceeding ASTM E505 Class 2 requirements.
