# general motors study

Case Study about General MotorsThis assignment inloud 4 questions2 questions between 150 to 200 words2 questions between 200 – 300 wordsmention question number clearly in their answer.All answered must be typed using Times New Roman (size 12, double-spaced) font.No pictures containing text will be accepted and will be considered plagiarism for us.

1MECH 447-547 – METAL FORMINGMidterm 2 – Assigned on 2020-11-27 – Due on 2020-12-04This is a take-home midterm exam. Please note that the effort you present herein must be yourindividual work. (Total: 20 pts)(1) In class, we introduced the Visco-Plastic Self-Consistent (VPSC) algorithm. Please answerthe following questions regarding the VPSC: What is VPSC and what does it do (pleasedescribe briefly)? (1/20) How does VPSC function (please explain in detail)? (2/20) Finally,please discuss the uniqueness of the solution provided by VPSC and how you can satisfy and/orimprove this condition. (2/20). (TOTAL: 5/20)(2) Given is the engineering stress – engineering strain curve for a single crystal Hadfield steelsample with [123] orientation loaded under uniaxial tension. Please find out the critical resolvedshear stress value if plastic deformation takes place by slip only and starts on the (1#11)[101]system first. Make sure to state all your assumptions and show all your calculations in detail.HINT: You can take √6 as 2.5. (5/20)(3) Activating primary slip only, please use the VPSC5 code to predict the deformation responseprovided in the figure of Question 2. Please state all assumptions you make. The correspondingtexture file for the [123] orientation (123.TEX) is provided along with the Midterm. (5/20)(4) What kind of interactions can a glide dislocation have in the microstructure of a metallicmaterial? Please explain in detail. (5/20)(BONUS QUESTION) (5/20) Consider a crystal with two active slip system as in the followingschematic. Based on what we have seen during the classes on November 11, 13 and 16, 2020,derive an equation describing the orientation evolution for this crystal. Please also note that:� = ,Γ̇ Λ̇Λ̇ −Γ̇1 and � = 3 0 Ω−Ω 052

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