4. Evaluate the strain hardening increment to the yield strength of Li [BCC, G (shear modulus) = 32 GPa, a (lattice constant) = 3 Å] alloy with a microstructure due to a dislocation density of 3x1013 m-2. Make appropriate assumptions, if any.
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4. Evaluate the strain hardening increment to the yield strength of Li [BCC, G (shear modulus) = 32 GPa, a (lattice constant) = 3 Å] alloy with a microstructure due to a dislocation density of 3x1013 m-2. Make appropriate assumptions, if any.
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- 2. A three-point loading scheme for measuring the stress-strain behavior and flexural strength, σF, (stress at fracture) of brittle ceramics for rectangular and circular cross sections materials are shown below. 3FfL = πR³ 2bd2 (depending on the FfL The flexural strength σF, can be calculated as: σFƒ cross section shape). = Calculate the ceramic flexural strength when Fƒ=1030 N, L=3.5 cm and 2R=b=d=1 cm and define which structure is stronger. Show your work. Note when you calculate, don't forget to unit conversion! Ff R Compression Tensiona) Calculate the basicity and acidity of a slag composed of 41 wt% SiO2; 13 wt% FeO; 39 wt% CaO, 7 wt% MgO. (Molecular Weights; Ca: 40.08, O: 16.0, Fe: 55.85, Si: 28.08, Mg: 24.31) b) Describe the formation stage of white matte during the pyrometallurgical production of copper. Calculate the theoretical amount of Cu in the white matte. (Molecular Weights; O: 16, Fe: 55.85, Si: 28.08, Cu: 63.5, S: 32.06).2. What is the distinction between matrix and dispersed phases in a composite material?
- (a) A silicon sample maintained at T = 300 K is uniformly doped with Nd = 1016cm-3 donors. Calculate the resistivity of the sample.a) Draw rock salt unit cell of NaCl and give the coordinates (u,v,w) describing the positions of all the atoms in such a unit cell. b) Calculate the structure factor |F_hkl|^ 2 for such a unit cell for x-ray scattering from a given set of crystallographic planes (hkl). c) Which reflection peaks have the lowest and highest intensities and whyAt room temperature (i.e., 300 K), a semiconductor made of gallium arsenide (GaAs) has an intrinsic electron concentration (ni) of 1.8×10^6 cm^-3 , an electron mobility (μe) of 8500 cm^2 V^1 s^-1 , and a hole mobility (μh) of 400 cm^2 V^-1 s^-1 . \ (a) Calculate the intrinsic electric conductivity and resistivity of GaAs at 300 K. (b) When GaAs is doped with an ionized donor concentration of 10^15 cm^-3 , where is the Fermi level? Calculate the electric conductivity of the doped GaAs. (c) If the semiconductor sample discussed in (b) is further doped with an ionized acceptor concentration of 9×10^14 cm^-3 , what is the free hole concentration and electric conductivity of the sample?
- Metallurgical and materials engineers are often called upon to design alloys with high strength, but with some ductility and toughness; typically, ductility is sacrificed when an alloy is reinforced. Various hardening techniques are available to an engineer, and often the selection of the alloy depends on the material's ability to be adapted to the mechanical characteristics required for a specific application. There are several methods to increase the hardening of metals, each suited to different applications and strength requirements. Some of these methods include heat treatment, such as annealing and quenching, which alter the crystalline structure of the metal to make it harder. Additionally, cold working, such as cold rolling and forging, can increase the metal's strength by reducing its grain size and increasing its dislocation density. The introduction of alloying elements or the controlled precipitation of particles can also strengthen a metal. Each technique is chosen based on…Using Cu-Ka radiation (I = 154 pm), The Bragg angle is 22.2 for the (110) type planes for a BCC crystal of lattice parameter 288 pm and n = 1. Are these reflections allowed?The thickness of the chromium plate on an auto fender is determined by dissolving a 30.0-cm2 section in acid and oxidizing Cr3+ to Cr2O7 2-with peroxydisulfate. After removing excess peroxydisulfate by boiling, 500.0 mg of Fe(NH4 )2 (SO4 )2•6H2O is added, reducing the Cr2O7 2- to Cr3+ . The excess Fe2+ is back titrated, requiring 18.29 mL of 0.00389 M K2Cr2O7 to reach the end point. Determine the average thickness of the chromium plate given that the density of Cr is 7.20 g/cm3 . Note: thickness = volume /area
- Sketch within a cubic unit cell the given direction and plane. The origin point for the index of direction is 0, 0, 0. [112] and (oīī) -2. (d) Describe three of the functions of the matrix in fibrereinforced composites. (e) With the aid of sketches compare and contrast the fatigue fracture appearance between an alloy that failed at a low fatigue load and one that failed at a high fatigue load. (f) Propose and briefly describe one non-destructive method that can be used to detect small cracks on the surface of a metallic alloy .3. Find lattice constant and atomic radius of Silver from the X-Ray spectra for Silver nanoparticles given below and compare with appendix (wavelength of incident X-Ray is 0.154 nm ) 40 (111) 35 30 25 20 (200) 15 (311) (220) 10 |(222) 5 10 30 2 Theta 50 70 90 Fig. 3. X-ray diffraction patterns of silver nanoparticles embedded ultra-thin film solar cell.