In the Table below Data for Mar M 247-a Nickel base superalloy is shown. (1) Plot the steady state strain rate and time to rupture to predict a relationship between the two variables. Provide an equation for the relationship that you see. (2) Give an explanation as to why the fracture elongation is going up with stress.

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In the Table below Data for Mar M 247-a Nickel base superalloy is shown.
(1) Plot the steady state strain rate and time to rupture to predict a relationship between the two
variables. Provide an equation for the relationship that you see.
(2) Give an explanation as to why the fracture elongation is going up with stress.

 

### Creep Test Data at 1000°C

The table presents data from a creep test conducted at a constant temperature of 1000°C. The variables recorded include applied stress, minimum creep rate, time to rupture, and fracture elongation percentage.

| Temperature (°C) | Applied Stress (MPa) | Minimum Creep Rate (sec⁻¹) | Time to Rupture (hours) | Fracture Elongation (%) |
|------------------|----------------------|----------------------------|-------------------------|-------------------------|
| 1000             | 100                  | 1.3 × 10⁻⁹                 | 931.3                   | 1.8                     |
| 1000             | 100                  | 2.8 × 10⁻⁹                 | 969.7                   | 4.7                     |
| 1000             | 150                  | 3.2 × 10⁻⁸                 | 94.3                    | 5.1                     |
| 1000             | 200                  | 2.8 × 10⁻⁷                 | 18.8                    | 8.7                     |
| 1000             | 250                  | 1.6 × 10⁻⁶                 | 4.6                     | 7.3                     |
| 1000             | 300                  | 7.3 × 10⁻⁶                 | 1.33                    | 9.1                     |

### Explanation

- **Applied Stress (MPa):** This column lists the various levels of stress applied to the material, measured in megapascals (MPa).
- **Minimum Creep Rate (sec⁻¹):** The rate at which permanent deformation occurs in the material under constant stress at elevated temperature, expressed in seconds to the power of negative one.
- **Time to Rupture (hours):** The duration the material withstands the applied stress and temperature before failing, measured in hours.
- **Fracture Elongation (%):** The percentage increase in length the material undergoes before fracture.

This data is essential for understanding the behavior of materials under high-temperature conditions, valuable in engineering applications such as material selection for components in high-stress environments.
Transcribed Image Text:### Creep Test Data at 1000°C The table presents data from a creep test conducted at a constant temperature of 1000°C. The variables recorded include applied stress, minimum creep rate, time to rupture, and fracture elongation percentage. | Temperature (°C) | Applied Stress (MPa) | Minimum Creep Rate (sec⁻¹) | Time to Rupture (hours) | Fracture Elongation (%) | |------------------|----------------------|----------------------------|-------------------------|-------------------------| | 1000 | 100 | 1.3 × 10⁻⁹ | 931.3 | 1.8 | | 1000 | 100 | 2.8 × 10⁻⁹ | 969.7 | 4.7 | | 1000 | 150 | 3.2 × 10⁻⁸ | 94.3 | 5.1 | | 1000 | 200 | 2.8 × 10⁻⁷ | 18.8 | 8.7 | | 1000 | 250 | 1.6 × 10⁻⁶ | 4.6 | 7.3 | | 1000 | 300 | 7.3 × 10⁻⁶ | 1.33 | 9.1 | ### Explanation - **Applied Stress (MPa):** This column lists the various levels of stress applied to the material, measured in megapascals (MPa). - **Minimum Creep Rate (sec⁻¹):** The rate at which permanent deformation occurs in the material under constant stress at elevated temperature, expressed in seconds to the power of negative one. - **Time to Rupture (hours):** The duration the material withstands the applied stress and temperature before failing, measured in hours. - **Fracture Elongation (%):** The percentage increase in length the material undergoes before fracture. This data is essential for understanding the behavior of materials under high-temperature conditions, valuable in engineering applications such as material selection for components in high-stress environments.
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