iPad 301 AM 16 1 Callister Rethwisch Materials Science and

iPad 3:01 AM 16% 1 Callister & Rethwisch, Materials Science and Engineering: An Introduction, 9th Edition Principles of Materials Science and Engineering (Engr 54) ractice Assignment Gradebook gnment FULL SCREEN PRINTER VERSION BACK NEXT Problem 6.12 (GO Multistep) As noted in Section 3.15, for single crystals of some substances, the physical properties are anisotropic; that is, they are dependent on crystallographic direction. One such property is the modulus of elasticity. For cubic single crystals, the modulus of elasticity in a general [uvw] direction, Euvw, is described by the relationship EuVW 5100) 14100) 11) where100) and 111) are the moduli of elasticity in [100] and [111] directions, respectively, a, , and are the cosines of the angles between (uvw] and the respective (100], (010], and [001] directions. Verify that the E110) values for aluminum, copper, and iron in Table 3.4 are correct. Part 1 [y] Excellent! Aluminum, copper, and iron belong to which crystal system?

Solution

Part 1>

Metal Crystalline structure changes with temperature. At room temperature, Aluminum and Copper are in FCC ( Face Centered Crystal) and Iron in BCC (Body centered Crystal) except for the temperature range 910⁰-1400⁰ C. Iron in temperature range 910⁰-1400⁰ C occurs in FCC Structure. FCC elememts are generally strong and Ductile