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1. Production of MTGS structure with good hermeticity
NOTE: The procedures for MTGS structure include the preparations for components of the combined structure, the heat treatment process, and examinations for the performance of MTGS samples. The complete MTGS structure consists of a steel shell, Kovar conductor, and sealing glass. See the diagram and dimensions shown in Figure 1 and Table 1, respectively.
- Pour the granulated glass powder (~1.1 g) into the mold, then place the mold onto the press machine to process the granulated glass as shown in Figure 2a,b.
- Switch on the press machine (push the red button) to compact the granulated glass into the glass cylinder as shown in Figure 2c,d.
NOTE: The density control of glass cylinder is important for the performance of the MTGS structure, because too many pores in the glass cylinder will lead to failure of the hermeticity of MTGS structure.
- Place the glass cylinder into the heating furnace to be sintered (see Figure 3).
- The sintered glass cylinder, steel shell, and Kovar conductor are manufactured with a special graphite gasket, as shown in Figure 4. Place this model onto the quartz septum in the heating furnace using a claw for heat treatment (see Figure 4). Keep the cooling rate as 0.5 °C/min to avoid breaking of the optical fiber.
- Use visual inspection to identify the surface topography of sealing glass after retrieving the model from the heating furnace.
- Use the high pressure pipeline to examine the hermeticity of MTGS model. Install the model onto the pipeline by the card sleeve type joint. Slowly change the pressure from 1 MPa to 8 MPa, holding each pressure for 24 h.
- Use the scanning electron microscope (SEM) to identify the microscopic interface between sealing glass and metal parts as shown in Figure 5. Use 15 kV and 500x magnification to observe the interface clearly.
NOTE: From the macrography examination and SEM results, the standard maximum heating temperature is set as 450 °C to obtain the MTGS model with good hermeticity. The standard heating treatment is defined as follows: increase the temperature from (room temperature) RT to 450 °C in increments of 5 °C/min, then drop the temperature to RT as 0.5 °C/min.
2. Residual stress measurement in sealing glass
NOTE: The FBG sensor is designed as an appropriate method to measure the stress in the MTGS. The grating length of the FBG sensor is 5 mm to match the height of the glass (5 mm) well.
- Compact the granulated glass powder into the glass cylinder as described in steps 1.1–1.2.
NOTE: The height of glass cylinder is important, because if the cylinder is too high (>6 mm), it will be difficult to make a through path for the FBG sensor without destroying the glass material.
- Drill the glass cylinder using drill speed of 5,000 rpm to produce three equally spaced through-holes to prepare paths for optical fiber sensors (diameter 0.45 mm). Sinter the glass cylinder with holes using the same heat treatment as shown in Figure 4.
- Manufacture the MTGS model as described in step 1.4. Then, put the fiber through the path in sealing glass and position the grating region of the FBG exactly within the glass.
NOTE: Because the flow in the vertical furnace can blow up the grating region, which leads to the mismatching of FBG and glass, the tail of optical fiber must be hung with a small nail to keep the position of FBG accurate.
- Fuse the head of optical fiber with a FC connector by the fusion splicers. Then, match the FC connector with the OPM-T400, which is an interrogator to demodulate the wavelength data and spectrum of FBG. The OPM-T400 is connected to a computer, and the supporting software on the computer can obtain experimental data.
- Process the whole model in a furnace by the standard heat treatment obtained previously. Raise the temperature from RT to 450 °C as 5 °C/min, then drop the temperature to RT in increments of 0.5 °C/min. The grating region will become fused with the sealing glass as it is heated to melt. When the temperature cools down to RT, the glass will solidify and the FBG sensor will become well-fused with the sealing material.
- Record the real-time Bragg wavelength data using the software (shown in Figure 6). The only factor inducing changes of wavelength and spectrum is the residual stress generated in sealing glass, because the temperature before and after this step is both RT.
NOTE: The residual stress can be calculated through the strain-wavelength relationship of FBG14 and Hook’s law, as shown below.


Where: the ΔλB is the Bragg wavelength shift induced by the residual stress, λB is the initial wavelength of FBG, Pe is the strain-optic coefficient, ε is the residual strain in the glass, E is the Young’s modulus of sealing glass, and σ is the residual stress in the glass.
3. Preventing the failure of MTGS structure under high temperature
NOTE: When working at a high temperature, the hermeticity of the MTGS structure will be affected, because the thermal expansion of steel shell leads to the decrease of residual stress in sealing glass. Thus, it is possible this protocol can prevent the failure of hermeticity due to the online monitoring of residual stress change in sealing glass.
- Manufacture the MTGS model as done in step 1.4. The type of FBG to monitor temperature and stress simultaneously is the fiber Bragg grating array sensor, including two grating regions on one fiber, with a 10 mm distance between these two sensors.
NOTE: These two grating are defined as FBG-1 and FBG-2. The initial Bragg wavelengths of FBG-1 and FBG-2 are 1545 nm and 1550 nm, respectively.
- Place FBG-1 into the sintered glass cylinder to monitor the stress and temperature. Place FBG-2 outside the glass to monitor the temperature only, as shown in Figure 7a,b. In this way, FBG-1 is affected by both temperature and residual stress change, and FBG-2 is only affected by temperature of sealing glass.
- Place the MTGS model with optical fiber in the furnace as described in steps 2.2–2.3. Use the standard heat treatment to process the MTGS model with an embedded FBG sensor.
- Impose temperatures of 100 °C, 200 °C, 300 °C, and 400 °C onto the model and hold each temperature for 100 min.
NOTE: FBG-1 monitors the stress and temperature simultaneously expressed as the Bragg wavelength shift ΔλB-1, and FBG-2 monitors the temperature change by ΔλB-2 as shown in Figure 8a,b. The relationships between Bragg wavelength shift and measured parameters are shown as follows:


Where: ξ is thermo-optic coefficient, α is thermal expansion coefficient of optical fiber, and ΔT is temperature change before and after the experiment. The ΔλB-3 induced by residual stress can be separated through subtracting ΔλB-1 from ΔλB-2 (see Figure 8c). This is the demodulation method for simultaneous temperature and stress monitoring of sealing glass at high temperatures.
4. Monitoring high pressure
NOTE: The pressure loads on the MTGS structure will have effects on the residual stress in sealing glass, so the MTGS model with the embedded FBG sensor is a potential method to monitor the high pressure change.
- Prepare the same MTGS model with the FBG sensor as described in step 2.2–2.3. After the FBG is well-fused with MTGS model, use the claw to take the model out of the furnace.
- Manufacture the MTGS model with the FBG sensor onto a high pressure helium pipeline by the bite type tube fittings as shown in Figure 9. Adjust the pressure from 1 MPa to 7 MPa by pressure reducing the valve to impose changing pressure loads on the sealing structure.
- The Bragg wavelength shift ΔλB is recorded as shown in Figure 10. At the same time, the related residual stress change can be calculated using Equation 1 and Equation 2.
5. Theoretical analysis of MTGS structure
- Use the modeling software to build the 3D model for MTGS structure, and the dimensions are taken from Table 1 to keep the experimental model and theoretical model consistent.
- Import the 3D model into the finite element analysis software. Assign mechanical properties to the steel shell, sealing glass and Kovar conductor, as shown in Table 2.
- The grid type of the whole model is Hex shape (see Figure 11). The mesh method of the sealing glass and steel shell are sweep, and the Kovar conductor is meshed by structured method. Refine the mesh of sealing glass to guarantee the accuracy of theoretical results. The elements number of Kovar conductor, sealing glass and steel shell are 143700, 20350, and 13400, respectively.
- Set the initial increment, minimum increment, and maximum increment of the static analysis step as 0.01, 1.00 x 10-8 and 1.00 x 10-2, respectively.
- Ensure that the interfaces between the sealing glass and metal parts are bounded. First, impose the changing temperature load (from 370 °C to 20 °C) to simulate the solidification progress of the MTGS model. The stress distribution after this process is shown in Figure 12.
- Impose different temperatures (from 100 °C to 400 °C) onto the whole model to simulate the online monitoring experiments under thermal loads. Under the other circumstance, changing pressure loads (from 1 MPa to 7 MPa) are imposed on the sealing glass to simulate the online monitoring under high pressure. The boundary conditions are shown in Figure 13.
- The numerical results of stress and strain distribution of the whole model are obtained from the destination file shown in Figure 14. Extract the analysis path in the sealing glass shown in Figure 13, of which the position is the monitoring path for FBG sensors in Figure 6a to provide comparison with the measuring results by FBG.