Quiz 3 - 2006 - MAT33 Engineering Materials and Processes...

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MAT33 Engineering Materials and Processes Fall 2006 Third Exam - Monday 18 th December 2006 NAME …………………………………………………….. Section Professor Pearson Th 12.10pm .……. Q1……….. Professor Marder Th 1.10pm …….. Q2……….. Professor Soukhojak Fr 8.10am ..…… Q3……….. Professor Soukhojak Fr 9.10am …….. Q4……….. Professor Rickman Fr 10.10am …….. Q5……….. Total………...% Closed book exam. Please write your final answers in the blanks provided, where appropriate. Partial credit for questions will only be considered if your workings are shown. Calculator policy: I have cleared my calculator’s memory prior to taking this exam. Signature ________________ Useful Equations σ c = 2 E γ s π a 1/ 2 K = Y σπ a + = 1 2 0 max t a ρ σ σ - = RT Q K c n s exp σ ε 2 2 5 . 1 bd FL fs = σ 3 R FL fs π σ = Useful constants Avagadro’s number, N A 6.023 x 10 23 atoms/mol Boltzmann’s constant, k 8.62 x 10 -5 eV/atom-K = 1.38 x 10 -23 J/atom-K Gas constant, R 8.31J/mol-K 1
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1.) Failure of Materials (29 points) a.) A structural steel with a fracture toughness of 60MPa.m 1/2 has no surface crack greater than 3mm in length. By how much (in %) would this largest surface crack have to grow before the system would experience fast fracture under an applied stress of 500MPa? [Assume the geometrical factor Y=1] Crack growth (in %)………………………………………………… b.) The series of curves shown below describe the time dependant plastic deformation of a material under constant stress at different temperatures.
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