Ni-W alloys are widely used in tape form, i.e., sheets that are a hundred microns thick and several hundred meters long. A. A starting sheet of Ni-W alloy cannot be cold-rolled into a tape in a single pass. Instead, cold-rolling steps must be alternated with annealing steps. Why? B. Consider a fully-annealed, 1 cm-thick, 1 m-long sheet which is cold-rolled to a 7-mm thickness. What is the %CW? Assuming that the width does not change, how long is the sheet after rolling? C. Now consider an identical starting sheet that is rolled to a 3-mm thickness. How do the yield strength, tensile strength, and ductility of this rolled sheet compare to the previous one? D. If the maximum amount of cold work that can be done in a work-annealing cycle is 70%CW, how many cycles are required to roll the Ni-W alloy sheet to a thickness of 50 μm?

Elements Of Electromagnetics
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**Ni-W Alloys in Tape Form: An Analysis**

Ni-W alloys are widely used in tape form, i.e., sheets that are a hundred microns thick and several hundred meters long.

**A. Cold-Rolling Ni-W Alloy**
A starting sheet of Ni-W alloy cannot be cold-rolled into a tape in a single pass. Instead, cold-rolling steps must be alternated with annealing steps. *Why?*

**B. Cold-Rolling Calculation**
Consider a fully-annealed, 1 cm-thick, 1 m-long sheet which is cold-rolled to a 7-mm thickness. 
- What is the %CW? 
- Assuming that the width does not change, how long is the sheet after rolling?

**C. Yield Strength and Ductility**
Now consider an identical starting sheet that is rolled to a 3-mm thickness. 
- How do the yield strength, tensile strength, and ductility of this rolled sheet compare to the previous one?

**D. Work-Annealing Cycle Requirement**
If the maximum amount of cold work that can be done in a work-annealing cycle is 70%CW, how many cycles are required to roll the Ni-W alloy sheet to a thickness of 50 μm?
Transcribed Image Text:**Ni-W Alloys in Tape Form: An Analysis** Ni-W alloys are widely used in tape form, i.e., sheets that are a hundred microns thick and several hundred meters long. **A. Cold-Rolling Ni-W Alloy** A starting sheet of Ni-W alloy cannot be cold-rolled into a tape in a single pass. Instead, cold-rolling steps must be alternated with annealing steps. *Why?* **B. Cold-Rolling Calculation** Consider a fully-annealed, 1 cm-thick, 1 m-long sheet which is cold-rolled to a 7-mm thickness. - What is the %CW? - Assuming that the width does not change, how long is the sheet after rolling? **C. Yield Strength and Ductility** Now consider an identical starting sheet that is rolled to a 3-mm thickness. - How do the yield strength, tensile strength, and ductility of this rolled sheet compare to the previous one? **D. Work-Annealing Cycle Requirement** If the maximum amount of cold work that can be done in a work-annealing cycle is 70%CW, how many cycles are required to roll the Ni-W alloy sheet to a thickness of 50 μm?
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