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1、文档编码 : CW7Z3W10R3K3 HG9A7N8Z7W1 ZU4Y1N2F1E3学习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题 试卷一Examination problems of the course of “ fundament of materials science”姓名:班级:记分:1. Glossary 2 points for each 1 crystal structure: 2 basis or motif: 3 packing fractor: 4 slip system: 5 critical size: 6 homogeneous nucleatio
2、n: 7 coherent precipitate: 8 precipitation hardening: 9 diffusion coefficient: 10 uphill diffusion: 2. Determine the indices for the planes in the cubic unit cell shown in Figure 1. 5 points Fig. 1 3. Determine the crystal structure for the following: a a metal with a0 = 4.9489 ., r = 1.75 . and one
3、 atom per lattice point; b a metal with a0 = 0.42906 nm, r = 0.1858 nm and one atom per lattice point. 10 points 4-1. What is the characteristic of brinell hardness test, rockwell hardness test and Vickers hardness test. What are the effects of strain rate and temperature on the mechanical propertie
4、s of metallic materials. 15 points 4-2. What are the effects of cold-work on metallic materials. How to eliminate those effects. And what is micro-mechanism for the eliminating cold-work effects. 15 points 5-1. Based on the Pb-Sn-Bi ternary diagram as shown in Fig. 2, try to 1Show the vertical secti
5、on of 40wt.%Sn; 4 points 2 Describe the solidification process of the alloy 2# with very low cooling speed including 学习必备phase and microstructure changes; 4 points 3Plot the isothermal section at 150 oC. 7 points 欢迎下载Fig. 2 5-2. A 1mm sheet of FCC iron is used to contain N 2 in a heated exchanger at
6、 1200 oC. The concentration of N at one surface is 0.04 atomic percent and the concentration at the second surface is 0.005 atomic percent. At 1000 oC, if same N concentration is demanded at the second surface and the flux of N becomes to half of that at 1200 oC, then what is the thickness of sheet.
7、 15 points 6-1. Supposed that a certain liquid metal is undercooled until homogeneous nucleation occurs. 15 points 1 How to calculate the critical radius of the nucleus required. Please give the deduction process. 2 For the Metal Ni, the Freezing Temperature is 1453 C, the Latent Heat of Fusion is 2
8、756 J/cm 3, and the Solid-liquid Interfacial Energy is 255 10-7 J/cm 2. Please calculate the critical radius at 1353 C. Assume that the liquid Ni is not solidified. 6-2. Fig.3 is a portion of the Mg-Al phase diagram. 15 points 1 If the solidification is too rapid, please describe the solidification
9、process of Mg-10wt%Al alloy. 2 Please describe the equilibrium solidification process of Mg-20wt%Al alloy, and calculate the amount of each phase at 300 C. Fig. 3 学习必备 欢迎下载7-1. Figure 4 shows us the Al-Cu binary diagram and some microstructures found in a cooling process for an Al-4%Cu alloy. Please
10、 answer following questions according to this figure. 20 points Fig. 4 1What are precipitate, matrix and microconstituent. Please point them out in the in the figure and explain. 2Why is need-like precipitate not good for dispersion strengthening. The typical microstructure shown in the figure is go
11、od or not. why. 3Please tell us how to obtain the ideal microstructure shown in this figure. 4Can dispersion strengthened materials be used at high temperature. Please give the reasons comparing with cold working strengthening 7-2. Please answer following questions according to the time-temperature-
12、transformation TTT diagram as shown in Fig. 5. 20 points 1What steel is this TTT diagram for. And what means P, B, and M in the figure. 2Why dose the TTT diagram exhibits a C shape. 3Point out what microconstituent will be obtained after austenite is cooled according to the curves I, II, III and IV
13、. 4What is microstructural difference between the curve I and the curve II. 5How to obtain the steel with the structure of a P+B b P+M+A residual c P+B+M+A residual d Full tempered martensite If you can, please draw the relative cooling curve or the flow chart of heat treatment. IV III II I Fig. 5 学
14、习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题答案Solutions of the course of “ fundament of materials science”1. Glossary 2 points for each1 The arrangement of the atoms in a material into a repeatable lattice. 2 A group of atoms associated with a lattice.3 The fraction of space in a unit cell occupied by atoms. 4 The
15、 combination of the slip plane and the slip direction. 5 The minimum size that must be formed by atoms clustering together in the liquid before the solid particle is stable and begins to grow.6 Formation of a critically sized solid from the liquid by the clustering together of a large number of atom
16、s at a high undercooling without an external interface. 7 A precipitate whose crystal structure and atomic arrangement have a continuous relationship with matrix from which precipitate is formed.8 A strengthening mechanism that relies on a sequence of solid state phase transformations in a dispersio
17、n of ultrafine precipitates of a 2 nd phase. This is same as age hardening. It is a form of dispersion strengthening.9 A temperature-dependent coefficient related to the rate at which atom, ion, or other species diffusion. The DC depends on temperature, the composition and microstructure of the host
18、 material and also concentration of the diffusion species.10 A diffusion process in which species move from regions of lower concentration to that of higher concentration.2. Solution: A-364, B-340, C346. 3. Solution: afcc; b bcc. 4-1. What is the characteristic of brinell hardness test, rockwell har
19、dness test and Vickers hardness test. What are the effects of strain rate and temperature on the mechanical properties of metallic materials. 15 points 4-2. What are the effects of cold-work on metallic materials. How to eliminate those effects. And what is micro-mechanism for the eliminating cold-w
20、ork effects. 15 points 5-1. Based on the Pb-Sn-Bi ternary diagram as shown in Fig. 2, try to 1Show the vertical section of 40wt.%Sn; 5 points 2 Describe the solidification process of the alloy 2# with very low cooling speed including phase and microstructure changes; 5 points 3Plot the isothermal se
21、ction at 150 oC. 5 points 学习必备 欢迎下载Fig. 2 5-2. A 1mm sheet of FCC iron is used to contain N 2 in a heated exchanger at 1200 oC. The concentration of N at one surface is 0.04 atomic percent and the concentration at the second surface is 0.005 atomic percent. At 1000 oC, if same N concentration is dem
22、anded at the second surface and the flux of N becomes to half of that at 1200 oC, then what is the thickness of sheet. 15 points 6-1. Supposed that a certain liquid metal is undercooled until homogeneous nucleation occurs. 15 points 3 How to calculate the critical radius of the nucleus required. Ple
23、ase give the deduction process. 4 For the Metal Ni, the Freezing Temperature is 1453 C, the Latent Heat of Fusion is 2756 J/cm 3, and the Solid-liquid Interfacial Energy is 255 10-7 J/cm 2. Please calculate the critical radius at 1353 C. Assume that the liquid Ni is not solidified. 6-2. Fig.3 is a p
24、ortion of the Mg-Al phase diagram. 15 points 3 If the solidification is too rapid, please describe the solidification process of Mg-10wt%Al alloy. 4 Please describe the equilibrium solidification process of Mg-20wt%Al alloy, and calculate the amount of each phase at 300 C. Fig. 3 7-1. Figure 4 shows
25、 us the Al-Cu binary diagram and some microstructures found in a cooling process for an Al-4%Cu alloy. Please answer following questions according to this figure. 20 points 学习必备 欢迎下载Fig. 4 1What are precipitate, matrix and microconstituent. Please point them out in the in the figure and explain. 2Wh
26、y is need-like precipitate not good for dispersion strengthening. The typical microstructure shown in the figure is good or not. why. 3Please tell us how to obtain the ideal microstructure shown in this figure. 4Can dispersion strengthened materials be used at high temperature. Please give the reaso
27、ns comparing with cold working strengthening 7-2. Please answer following questions according to the time-temperature-transformation TTT diagram as shown in Fig. 5. 20 points 1What steel is this TTT diagram for. And what means P, B, and M in the figure. 2Why dose the TTT diagram exhibits a C shape.
28、3Point out what microconstituent will be obtained after austenite is cooled according to the curves I, II, III and IV . 4What is microstructural difference between the curve I and the curve II. 5How to obtain the steel with the structure of a P+B b P+M+A residualc P+B+M+A residual d Full tempered ma
29、rtensite If you can, please draw the relative cooling curve or the flow chart of heat treatment. IV III II I Fig. 5 学习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题试卷二Examination problems of the course of “ fundament of materials science”姓名:班级:记分:1.You would like to be able to physically separate different materials
30、in a scrap recyclingplant. Describe some possible methods that might be used to separate materialssuch as polymers, aluminum alloys, and steels from one another. 5 points 2.Plot the melting temperature of the elements in the 1A column of the periodic table versus atomic number i.e., plot melting tem
31、peratures of Li through Cs. Discuss this relationship, based on atomic bonding and binding energy. 10 points with a = 0.332 nm. Below this 3.Above 882 , titanium has a BCC crystal structure, temperature, titanium has a HCP structure, with a = 0.2978 nm and c = 0.4735 nm. Determine the percent volume
32、 change when BCC titanium transforms to HCP titanium. Is this a contraction or expansion. 10 points 3 and the lattice parameter is 0.2866 nm when 4. The density of BCC iron is 7.882 g/cmhydrogen atoms are introduced at interstitial positions. Calculate a the atomic fraction of hydrogen atoms and b t
33、he number of unit cells required on average to contain one hydrogen atom. 15 points 5. A carburizing process is carried out on a 0.10% C steel by introducing 1.0% C at thesurface at 980 , where the iron is FCC. Calculate the carbon content at 0.01 cm,0.05 cm, and 0.10 cm beneath the surface after 1
34、h. 15 points 学习必备 欢迎下载6. The following data were collected from a standard 0.505-in.-diameter test specimen of a copper alloy initial length to = 2.0 in.: Stress Strain Load Gage Length lb in. psi in/in. 0 2.00000 0 0.0 3,000 2.00167 15,000 0.000835 6,000 2.00333 30,000 0.001665 7,500 2.00417 37,500
35、 0.002085 9,000 2.0090 45,000 0.0045 10,500 2.040 52,500 0.02 12,000 2.26 60,000 0.13 12,400 2.50 max load 62,000 0.25 11,400 3.02 fracture 57,000 0.51 After fracture, the gage length is 3.014 in. and the diameter is 0.374 in. Plot the data and calculate a the 0.2% offset yield strength, b the tensi
36、le strength, c the modulus of elasticity, d the %Elongation, e the %Reduction in area, f the engineering stress at fracture, g the true stress at fracture, and h the modulus of resilience. 15 points 7.A 1.5-em-diameter metal bar with a 3-cm gage length is subjected to a tensile test. The following m
37、easurements are made. Change in Force N Gage length cm Diameter cm 16,240 0.6642 1.2028 19,066 1.4754 1.0884 19,273 2.4663 0.9848 Determine the strain hardening coefficient for the metal. Is the metal most likely to be FCC, BCC, or HCP. Explain.15 points expected to 8.Based on Hume-Rotherys conditio
38、ns, which of the following systems would bedisplay unlimited solid solubility. Explain.15 pointsdU-W a Au-Ag b Al-Cu c Al-Au e Mo-Ta f Nb-W g Mg-Zn h Mg-Cd学习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题答案Solutions of the course of “ fundament of materials1.Steels can be magnetically separated from the other material
39、s; steel or carbon-containing iron alloys are ferromagnetic and will be attracted by magnets. Density differences could be usedpolymers have a density near that of water; the specific gravity of aluminum alloys is around 2.7;that of steels is between 7.5 and 8. Electrical conductivity measurements c
40、ould be used aluminum has a particularly high electrical conductivity. 5 points2.T oC L i 180.7 Na 97.8 K 63.2 Rb 38.9 polymers are insulators, As the atomic number increases, the melting temperature decreases, 10 points 3. We can find the volume of each unit cell. Two atoms are present in both BCC
41、and HCP titanium unit cells, so the volumes of the unit cells can be directly compared. V BCC= 0.332 nm3 = 0.03659 nm33100= -0.6% V HCP= 0.2978 nm20.4735 nmcos30 = 0.03637 nm V=x 100 =Therefore titanium contracts 0.6% during cooling. 10 points 4. a7.882 g/cm 3 =x = 0.0081 H atoms/cell The total atom
42、s per cell include 2 Fe atoms and 0.0081 H atoms. Thus: 10 pointsbSince there is 0.0081 H/cell, then the number of cells containing H atoms is: cells = 1/0.0081 = 123.5 or 1 H in 123.5 cells 5 points 5. D = 0.23 exp-32,900/1.9871253 = 42 10-8 cm 2/s 学习必备 欢迎下载C x= 0.87% C C x= 0.43% C C x= 0.18% C 15
43、 points6.=FI /40.5052 = F/0.2 = l- 2 / 2 a 0.2% offset yield strength = 45,000 psi b tensile strength = 62,000 psi c E = 30,000 - 0 / 0.001665 - 0 = 18 x 10 6 psi d %Elongation =e %Reduction in area =f engineering stress at fracture = 57,000 psi g true stress at fracture = 11,400 lb / TC/40.3742= 10
44、3,770 psi h From the graph, yielding begins at about 37,500 psi. Thus: 15 points 7. ForcelbGage lengthin. Diameterin.True stresspsi True strainpsi 0.200 0.400 0.600 16,240 3.6642 12.028 143 19,066 4.4754 10.884 205 19,273 5.4663 9.848 249 t=K t2or ln143=ln K + n ln0.2 学习必备 欢迎下载ln 249 = ln K + nln 0.
45、6 n = 0.51 A strain hardening coefficient of 0.51 is typical of FCC metals. 15 points8. The Au Ag, Mo Ta, and Mg Cd systems have the required radius ratio, the same crystal structures, and the same valences. Each of these might be expected to display complete solid solubility. The Au Ag and Mo T a d
46、 o have isomorphous phase diagrams. In addition, the Mg Cd alloys all solidify like isomorphous alloys; however a number of solid state phase transformations complicate the diagram. 15 points学习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题试卷三Examination problems of the course of “ fundament of materials science”姓名:班级
47、:记分:1. You would like to be able to identify different materials without resorting to chemicalanalysis or lengthy testing procedures. Describe some possible testing and sortingtechniques you might be able to use based on the physical properties of materials. 5 points 2. Plot the melting temperatures
48、 of elements in the 4A to 8-10 columns of the periodic table versus atomic number i.e., plot melting temperatures of Ti through Ni, Zr through Pd, and Hf through Pt. Discuss these relationships, based on atomic bonding and binding energy, a as the atomic number increases in each row of the periodic
49、table and b as the atomic number increases in each column of the periodic table. 10 points co= 0.35842 nm. The 3.Beryllium has a hexagonal crystal structure, with ao= 0.22858 nm andatomic radius is 0.1143 nm, the density is 1.848 g/cm3, and the atomic weight is 9.01 g/mol. Determine a the number of
50、atoms in each unit cell and b the packing factor in the unit cell.10 points 4. Suppose we introduce one carbon atom for every 100 iron atoms in an interstitial position in BCC iron, giving a lattice parameter of 0.2867 nm. For the Fe-C alloy, find a the density and b the packing factor. 15 points 5.
51、 Iron containing 0.05% C is heated to 912oC in an atmosphere that produces 1.20%C at the surface and is held for 24 h. Calculate the carbon content at 0.05 cmbeneath the surface if a the iron is BCC and b the iron is FCC. Explain the difference. 15 points 学习必备 欢迎下载6. The following data were collecte
52、d from a 0.4-in. diameter test specimen of poly vinyl chloride l 0= 2.0 in: Loadlb Gage Lengthin. Stresspsi Strainin/in. 0 2.00000 0 0.0 300 2.00746 2,387 0.00373 600 2.01496 4,773 0.00748 900 2.02374 7,160 0.01187 1200 2.032 9,547 0.016 1500 2.046 11,933 0.023 1660 2.070 max load 13,206 0.035 1600
53、2.094 12,729 0.047 1420 2.12 fracture 11,297 0.06 After fracture, the gage length is 2.09 in. and the diameter is 0.393 in. Plot the data and calculate a the 0.2% offset yield strength, b the tensile strength, c the modulus of elasticity, d the %Elongation, e the %Reduction in area, f the engineerin
54、g stress at fracture, g the true stress at fracture, and h the modulus of resilience. 15 points 7.A titanium alloy contains a very fine dispersion of tiny Er203 particles. What will be the effect of these particles on the grain growth temperature and the size of the grains at any particular annealin
55、g temperature. Explain. 15 points 8.Suppose 1 at% of the following elements is added to copper forming a separatealloy with each element without exceeding the solubility limit. Which one would be expected to give the higher strength alloy. Is any of the alloying elements expected to have unlimited s
56、olid solubility in copper. a Au b Mn c Sr d Si e Co 15 points学习必备 欢迎下载英文原版教材班“ 材料科学基础” 考试试题答案Solutions of the course of “ fundament of materials science”1.Steels can be magnetically separated from the other materials; steel or carbon-containing iron alloys are ferromagnetic and will be attracted by
57、magnets. Density differences could be usedpolymers have a density near that of water; the specific gravity of aluminum alloys is around 2.7;that of steels is between 7.5 and 8. Electrical conductivity measurements could be used aluminum has a particularly high electrical conductivity. 5 points2. Ti
58、1668Zr 1852Hf 2227 V 1900Nb 2468Ta 2996 Cr 1875Mo2610W3410 Mn1244Tc 2200Re3180 Fe 1538Ru 2310Os2700 Co 1495Rh 1963Ir 2447 Ni 1453Pd 1552Pt 1769 polymers are insulators, For each row, the melting temperature is highest when the outer d” energy level is partly full. In Cr, there are 5 electrons in the
59、 3d shell; in Mo, there are 5 electrons in the 4d shell; in W there are 4 electrons in the 5d shell. In each column, the melting temperature increases as the atomic number increasesthe atom cores contain a larger number of tightly held electrons, making the metals more stable. 10 points 3.V= 0.22858
60、 nm 20.35842 nmcos 30 = 0.01622 nm 3 = 16.22 10-24 cm 3aFrom the density equation: 1.848 g/cm 3 =x = 2 atoms/cell bThe packing factor PF is: PF = = 0.77 10 points 4.There is one carbon atom per 100 iron atoms, or 1 C/50 unit cells, or 1/50 C per unit cell: ab学习必备欢迎下载15 points 5.t= 24 h3600 s/h = 86,
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