In the manufacturing of critical components for heavy machinery, the **investment casting process** stands out for its ability to produce parts with excellent surface finish, intricate geometries, and high dimensional accuracy. This study focuses on the application and meticulous optimization of the **investment casting process** for a complex mining flatbed truck wheel. Such wheels are quintessential disc-type castings, characterized by a diameter significantly larger than their height, and are commonly found in demanding sectors like mining, transportation, and heavy equipment. The inherent complexity of the wheel’s geometry, with significant variations in wall thickness, presents a substantial challenge during solidification, often leading to the formation of shrinkage porosity and cavities. These defects, if not controlled, severely compromise the structural integrity and service life of the component. Traditional methods for process design rely heavily on iterative trial-and-error, which is both time-consuming and resource-intensive. Therefore, this work employs numerical simulation as a foundational tool to visualize the casting process, predict defect formation, and systematically guide the optimization of the **investment casting process** to enhance final product quality and manufacturing efficiency.

Structural Analysis and Casting Challenges
The subject of this study is a ZG35CrMnSi steel wheel casting for a mining vehicle. This material is selected for its high strength, impact resistance, and wear characteristics, essential for the harsh operating environment. The chemical composition of the alloy is detailed in Table 1.
| C | Si | Mn | Cr | Ni | Mo | Cu | V | P | S |
|---|---|---|---|---|---|---|---|---|---|
| 0.40 | 0.75 | 1.20 | 0.80 | 0.30 | 0.15 | 0.25 | 0.05 | 0.03 | 0.03 |
The 3D model of the wheel reveals its challenging geometry: a central hub, a thin web (spoke) region with six uniformly distributed straight slots, and a thick outer rim. The wall thickness varies dramatically from 10 mm at the web to 36 mm at the hub and 15 mm at the rim. This non-uniformity creates isolated thermal masses or “hot spots,” particularly at the junctions where thicker sections meet. The primary areas of concern identified through thermal analysis are:
- Hot Spot 1 & 4: Junction between the wheel rim and the base plate.
- Hot Spot 2: Junction between the central hub and the base plate.
- Hot Spot 3: Junction between a protruding flange and the base plate.
These regions are the last to solidify and are most prone to shrinkage defects due to inadequate feeding if the **investment casting process** is not properly designed. The primary objective is to achieve directional solidification, guiding the solidification front from the thinner sections of the wheel towards the heavier feeder system, thereby eliminating isolated liquid pools in these hot spots.
Initial Investment Casting Process Design
Pouring Position and Gating System Design
To establish a favorable thermal gradient, the wheel was oriented with its flat base facing downward. This positioning allows for a shorter flow path for the molten metal and facilitates the placement of gates at the thickest sections (the base), promoting the desired directional solidification from the top of the wheel down towards the gating system. A side-gating system was selected for this **investment casting process**. This design minimizes turbulent impact on the ceramic shell mold during filling, facilitates easier wax pattern assembly, and offers better feeding characteristics compared to top-gating for this geometry.
The design of the gating system’s cross-sectional areas is critical for controlling fill time and feeding. The initial sizing is based on the choke area formula, often derived from principles like Bernoulli’s equation for fluid flow. The minimum choke area $F_{min}$ can be estimated using a practical casting formula:
$$F_{min} = \frac{G}{\rho \cdot \mu \cdot \tau \cdot \sqrt{H_p}}$$
Where:
$G$ = total mass of metal to fill the mold (kg),
$\rho$ = density of the molten metal (kg/m³),
$\mu$ = discharge coefficient (accounts for friction and turbulence),
$\tau$ = mold filling time (s),
$H_p$ = mean effective metallostatic pressure head (m).
For the initial design, a four-cavity mold was planned. Based on the calculated volume and density, the total mass $G$ was approximately 245 kg. Using standard empirical values for steel casting in the **investment casting process**, the choke area was determined to be in the range of 44–47 cm². Following common gating ratios for steel castings to control flow and pressure, a ratio of $A_{sprue}:A_{runner}:A_{ingate} = 1.15:1.05:1$ was adopted. The initial system featured a central downsprue, a horizontal runner, and two ingates (A and B) connected to the thick base of each wheel to aid in feeding the critical hot spots.
Process Parameter Setting and Numerical Simulation
Key thermal properties of the ZG35CrMnSi alloy, essential for accurate simulation, were calculated and are represented functionally. The liquidus and solidus temperatures are critical thresholds:
$$T_{liquidus} = 1479^{\circ}C, \quad T_{solidus} = 1111^{\circ}C$$
The initial process parameters for the simulation of the **investment casting process** were set based on standard foundry practice for this alloy:
- Pouring Temperature: $T_{pour} = 1580^{\circ}C$ (approximately 100°C above liquidus).
- Filling Velocity: $v_{fill} = 280 \, mm/s$ (calculated based on empirical formulas relating wall thickness and height).
- Shell Preheat Temperature: $T_{shell} = 1000^{\circ}C$.
- Shell Material: Multi-layer ceramic shell with a total thickness of ~6 mm.
The filling sequence simulation showed a relatively smooth fill without excessive turbulence. However, the solidification analysis revealed the critical flaw in the initial design. As shown in the simulation results, solidification initiated at the top rim and the thin web areas. The last regions to solidify were, as predicted, the hot spots at the rim base and, critically, the junctions between the ingates and the wheel. More importantly, the thin web sections solidified rapidly, isolating the thicker rim base from the feeding source (the ingates) before the rim itself had fully solidified. This created isolated liquid pockets, leading to significant shrinkage porosity.
The quantitative defect prediction from the numerical simulation for the initial design indicated a shrinkage porosity volume percentage of 13.13%, predominantly concentrated at the bottom of the wheel rim. This validated the initial thermal analysis and confirmed the unsuitability of the initial **investment casting process** design.
Systematic Optimization of the Investment Casting Process
Gating System Modification
The root cause of the defect was the premature freezing of the feeding paths. To address this, the gating system was strategically modified. Two additional ingates (C and D) were added to the wheel base. This modification served two key purposes:
- Increased Feeding Capacity: By increasing the number of feeding points and the total cross-sectional area of the ingates, the feeding duration to the critical rim base was extended.
- Improved Thermal Management: The additional gates helped maintain a higher temperature in the rim base region for a longer period, delaying its solidification and aligning it better with the solidification of the feeding system.
Furthermore, strategic venting was incorporated into the modified wax pattern assembly to allow for better escape of gases during the fill, reducing the potential for gas-related defects. A simulation of this modified **investment casting process** design showed a marked improvement. The shrinkage porosity was reduced to 8.65%, and its location was less detrimental. However, some minor porosity remained in the web area and rim base, indicating that while the geometry was improved, the process parameters were not yet optimal.
Process Parameter Optimization via Orthogonal Experiment
To achieve the final quality target, a systematic optimization of key influencing parameters was undertaken. The parameters selected for study were those most directly controlling the thermal history: Pouring Temperature (A), Filling Velocity (B), and Shell Preheat Temperature (C). Each parameter was evaluated at three levels, as defined in Table 2.
| Level | A: Pouring Temp. (°C) | B: Filling Velocity (mm/s) | C: Shell Preheat Temp. (°C) |
|---|---|---|---|
| 1 | 1530 | 270 | 750 |
| 2 | 1555 | 280 | 900 |
| 3 | 1580 | 290 | 1000 |
An L9 orthogonal array was constructed, and nine distinct simulations of the **investment casting process** were run, with the resulting shrinkage porosity percentage as the evaluation index. The experimental layout and results are summarized in Table 3.
| Experiment No. | A | B | C | Shrinkage Porosity (%) |
|---|---|---|---|---|
| 1 | 1 | 1 | 1 | 3.10 |
| 2 | 1 | 2 | 2 | 3.00 |
| 3 | 1 | 3 | 3 | 2.97 |
| 4 | 2 | 1 | 2 | 3.03 |
| 5 | 2 | 2 | 3 | 3.08 |
| 6 | 2 | 3 | 1 | 3.13 |
| 7 | 3 | 1 | 3 | 3.04 |
| 8 | 3 | 2 | 2 | 3.08 |
| 9 | 3 | 3 | 1 | 3.30 |
Analysis of the results reveals significant interactions. For instance, comparing experiments 1, 2, and 3 (constant pouring temperature), increasing both filling velocity and shell preheat temperature reduced porosity. This suggests that a hotter shell and faster fill work synergistically to maintain fluidity and feeding capability. Conversely, experiment 9 (high temperature, high speed, low shell preheat) yielded the worst porosity (3.30%), indicating that a high pouring temperature without adequate shell preheat leads to rapid heat loss to the mold, steep thermal gradients, and potential turbulence.
To determine the statistical significance and the primary-secondary order of the factors, an analysis of variance (ANOVA) was performed on the data. The results are presented in Table 4.
| Variance Source | Sum of Squares | Degrees of Freedom | Mean Square | F-Value | p-Value |
|---|---|---|---|---|---|
| Factor A (Pouring Temp.) | 0.036 | 2 | 0.018 | 32.860 | 0.030* |
| Factor B (Filling Velocity) | 0.019 | 2 | 0.010 | 17.256 | 0.055 |
| Factor C (Shell Preheat) | 0.058 | 2 | 0.029 | 52.228 | 0.019* |
| Error | 0.001 | 2 | 0.001 | – | – |
* p < 0.05 indicates statistical significance.
The ANOVA results clearly show that Factor C (Shell Preheat Temperature) and Factor A (Pouring Temperature) have a statistically significant influence on the shrinkage porosity (p < 0.05), with Factor C having the largest F-value. Factor B (Filling Velocity) showed a strong trend but was slightly above the common significance threshold in this analysis. The primary-secondary order of influence is established as: Shell Preheat Temperature > Pouring Temperature > Filling Velocity.
Since the objective is to minimize shrinkage porosity, the optimal level for each factor is chosen based on the level that produces the lowest average porosity. Analysis of the mean effects points to the optimal combination: A1 (1530°C), B3 (290 mm/s), and C3 (1000°C). This optimal parameter set for the **investment casting process** was simulated. The result showed a dramatic improvement: shrinkage porosity was effectively eliminated from the wheel casting itself, with any negligible residual porosity confined to the feeder system (sprue and runners), which is later removed during machining. The final, optimized **investment casting process** therefore consists of the modified gating geometry with four ingates and vents, combined with the refined process parameters identified through the orthogonal experiment.
Conclusion and Industrial Validation
This study demonstrates a systematic and effective methodology for optimizing the **investment casting process** for complex, defect-prone components like mining wheel castings. The integration of numerical simulation with structured experimental design provides a powerful framework that moves beyond trial-and-error.
The key conclusions are:
- Numerical simulation is an indispensable tool for diagnosing solidification-related defects like shrinkage porosity in the **investment casting process**, allowing for rapid virtual prototyping and iteration.
- Gating system design must ensure maintained feeding channels throughout solidification. The modification from two to four ingates was crucial in extending the feeding time to the critical rim base hot spot.
- Process parameters are interdependent and must be optimized as a system. The orthogonal experiment revealed that within the studied ranges:
- Shell preheat temperature is the most significant factor in reducing shrinkage for this geometry and alloy.
- A relatively lower pouring temperature (1530°C) combined with a very high shell preheat (1000°C) and a moderately high filling speed (290 mm/s) creates the most favorable thermal conditions for sound solidification.
- The final, optimized **investment casting process** parameters (A1B3C3) successfully eliminated shrinkage defects from the wheel casting, confining all porosity to the sacrificial gating system.
The optimized **investment casting process** was translated into physical production trials. The resulting wheel castings exhibited excellent surface quality and dimensional accuracy, with no internal shrinkage defects detectable in critical areas upon non-destructive testing. This confirms the validity of the simulation-driven optimization approach. The methodology outlined here—combining fundamental thermal analysis, strategic gating design, and statistical optimization of key parameters—provides a robust blueprint for enhancing the quality, yield, and efficiency of the **investment casting process** for a wide range of complex industrial components.
