Practice Problem 3 with abbreviated answers

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Mechanical Engineering

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Nov 24, 2024

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Practice Problem Set 3 MIAE 221 Fall 2020 1/6 Practice Problem Set 3 Question 1 (a) What is the main difference between self-diffusion and interdiffusion? (b) Briefly explain the comparison between the interstitial and vacancy atomic mechanisms for diffusion. (c) Normally interstitial diffusion is more rapid than vacancy diffusion. Why? Cite two reasons. Solution hint: Refer to lecture notes and textbook and write answers in your own words. Question 2 (a) Determine the carburizing time necessary to achieve a carbon concentration of 0.45 wt% at a position 2 mm into an iron carbon alloy that initially contains 0.20 wt% C. The surface concentration is to be maintained at 1.30 wt% C, and the treatment is to be conducted at 1000°C. Use the error function values and diffusion data for 𝛾 -Fe available in the textbook. (b) In part (a) how long would the carburizing process take if the temperature is reduced to 950°C? Please comment on your answer. Solution hint: (a) 19.7 h (b) 35 h Question 3 Label and describe the main features of the stress-strain curves of the typical metal and ceramic. Solution hint: first think of typical types of materials whose mechanical behavior looks like these curves.
Practice Problem Set 3 MIAE 221 Fall 2020 2/6 Question 4 A cylindrical specimen of steel having an original diameter of 1 2 in. is tensile tested to fracture and found to have an engineering fracture strength of 460,000 kPa. If its cross-sectional diameter at fracture is 2 5 in, determine (a) The ductility in terms of percentage reduction in area (b) The true stress at fracture Hint : Convert inch (in.) to meter (m) Solution hint: (a) 36% (b) 719 MPa Question 5 (a) Do all metals have the same slip system? Why or why not? (b) For each of edge, screw, and mixed dislocations, cite the relationship between the direction of the applied shear stress and the direction of dislocation line motion. Solution hint: Refer to lecture notes and textbook and write answers in your own words.
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