This study addresses crack and shrinkage defects in precision investment casting of railway couplers through numerical simulation and process optimization. Two gating system designs (Scheme A and B) were analyzed using ProCAST software to evaluate temperature fields, flow patterns, and defect formation mechanisms.
1. Technical Requirements and Gating System Design
The coupler geometry (594mm × 370mm × 350mm) features significant wall thickness variations (12-43mm) requiring ZG25MnCrNiMo alloy with composition:
| Element | C | Si | Mn | Cr | Ni | Mo | Fe |
|---|---|---|---|---|---|---|---|
| Content (wt.%) | 0.26 | 0.45 | 1.40 | 0.55 | 0.45 | 0.25 | Bal. |
Thermal properties governing precision investment casting processes follow nonlinear relationships:
$$ \lambda(T) = 28.5 + 0.012T – 4.2 \times 10^{-6}T^2 $$
$$ \rho(T) = 7850 – 0.52T + 1.8 \times 10^{-4}T^2 $$
where λ = thermal conductivity (W/m·K) and ρ = density (kg/m³).

2. Numerical Simulation and Process Optimization
Boundary conditions for mold filling analysis:
| Parameter | Scheme A | Scheme B |
|---|---|---|
| Pouring Temperature (°C) | 1550 | 1580 |
| Filling Time (s) | 15 | 30 |
| Shell Thickness (mm) | 8 | |
The velocity field during mold filling follows Navier-Stokes equations:
$$ \frac{\partial \vec{v}}{\partial t} + (\vec{v} \cdot \nabla)\vec{v} = -\frac{1}{\rho}\nabla p + \nu\nabla^2\vec{v} + \vec{g} $$
where ν = kinematic viscosity (0.5×10⁻⁶ m²/s for molten steel). Scheme B demonstrated superior flow stability with maximum velocity reduction:
$$ \Delta v_{max} = 0.71 – 0.48 = 0.23 \, \text{m/s} $$
3. Solidification Analysis and Defect Prediction
Thermal stress evolution follows Fourier’s law and Hooke’s law:
$$ \sigma = E\alpha \Delta T $$
where E = 200 GPa (Young’s modulus), α = 12×10⁻⁶ K⁻¹ (CTE). Critical stress threshold for hot tearing:
$$ \sigma_{crit} = 0.01 \times E = 2 \, \text{GPa} $$
Shrinkage porosity prediction using Niyama criterion:
$$ Ny = \frac{G}{\sqrt{\dot{T}}} $$
where G = temperature gradient (°C/m), Ṫ = cooling rate (°C/s). Critical Niyama value for steel:
$$ Ny_{crit} = 1.0 \, \text{(°C·s)}^{0.5}/\text{mm} $$
4. Experimental Validation
Mechanical properties of optimized precision investment casting:
| Property | Value | Standard |
|---|---|---|
| Tensile Strength | 675 MPa | TB/T 2942-2015 |
| Elongation | 2.14% | TB/T 2942-2015 |
| Grain Size | ASTM 1-3 | TB/T 2942.2-2018 |
The optimized precision investment casting process achieved 98.7% yield improvement compared to initial trials, demonstrating the effectiveness of symmetric vertical gating with enhanced feeding capacity.
5. Industrial Implementation
Key process parameters for production-scale precision investment casting:
$$ t_{solidification} = 0.12 \times (V/A)^2 $$
where V = casting volume (9.5×10⁶ mm³), A = surface area (8.7×10⁵ mm²). Calculated solidification time:
$$ t_{solid} = 0.12 \times (10.92)^2 = 14.3 \, \text{min} $$
This study confirms that precision investment casting with optimized gating design enables production of large-scale steel castings meeting railway industry requirements for heavy-duty applications.
