Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 11.13, Problem 12KCP
To determine
Explain and demonstrate the following structures of silicate.
- • (a) Island
- • (b) Chain
- • (c) Sheet
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Magnesium (Mg) has an HCP crystal structure and a density of 1.74 g/cm' and AMg 24.3
g/mol. (a) What is the volume of its unit cell in cubic centimeters?
(b) If the cla ratio is 1.624, compute the values of c and a.
A piece of BCC single-crystal metal is oriented such that tensile stress is
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direction, compute the stress at which the crystal yields if its critical resolved
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Consider a single crystal of BCC iron oriented such that tensile stress is applied along a[010] direction. Compute the resolved shear stress along a (110) plane and in a [1⃑ 1 1]direction when a tensile stress of 50 MPa is applied. If Slip occurs on a (110) plane and ina [1⃑ 1 1] direction and the critical resolved shear stress is 25 MPa, calculate themagnitude of the applied tensile stress necessary to initiate yielding.
Chapter 11 Solutions
Foundations of Materials Science and Engineering
Ch. 11.13 - Define a ceramic material.Ch. 11.13 - Prob. 2KCPCh. 11.13 - Prob. 3KCPCh. 11.13 - Prob. 4KCPCh. 11.13 - Prob. 5KCPCh. 11.13 - Prob. 6KCPCh. 11.13 - Prob. 7KCPCh. 11.13 - What fraction of the octahedral interstitial sites...Ch. 11.13 - Prob. 9KCPCh. 11.13 - Describe the perovskite structure. What fraction...
Ch. 11.13 - Prob. 11KCPCh. 11.13 - Prob. 12KCPCh. 11.13 - Prob. 13KCPCh. 11.13 - Prob. 14KCPCh. 11.13 - Describe the feldspar network structure.Ch. 11.13 - Prob. 16KCPCh. 11.13 - Prob. 17KCPCh. 11.13 - Describe two methods for preparing ceramic raw...Ch. 11.13 - Prob. 19KCPCh. 11.13 - Prob. 20KCPCh. 11.13 - Prob. 21KCPCh. 11.13 - Prob. 22KCPCh. 11.13 - Prob. 23KCPCh. 11.13 - Prob. 24KCPCh. 11.13 - Prob. 25KCPCh. 11.13 - Prob. 26KCPCh. 11.13 - What are the purposes of drying ceramic products...Ch. 11.13 - Prob. 28KCPCh. 11.13 - What is the vitrification process? In what type of...Ch. 11.13 - Prob. 30KCPCh. 11.13 - Prob. 31KCPCh. 11.13 - Prob. 32KCPCh. 11.13 - Prob. 33KCPCh. 11.13 - Prob. 34KCPCh. 11.13 - Prob. 35KCPCh. 11.13 - Prob. 36KCPCh. 11.13 - Prob. 37KCPCh. 11.13 - Prob. 38KCPCh. 11.13 - Why do most ceramic materials have low thermal...Ch. 11.13 - Prob. 40KCPCh. 11.13 - Prob. 41KCPCh. 11.13 - Prob. 42KCPCh. 11.13 - Prob. 43KCPCh. 11.13 - Prob. 44KCPCh. 11.13 - Prob. 45KCPCh. 11.13 - Prob. 46KCPCh. 11.13 - How is a glass distinguished from other ceramic...Ch. 11.13 - Prob. 48KCPCh. 11.13 - Prob. 49KCPCh. 11.13 - Prob. 50KCPCh. 11.13 - Prob. 51KCPCh. 11.13 - Prob. 52KCPCh. 11.13 - Prob. 53KCPCh. 11.13 - Prob. 54KCPCh. 11.13 - Prob. 55KCPCh. 11.13 - Prob. 56KCPCh. 11.13 - Prob. 57KCPCh. 11.13 - Prob. 58KCPCh. 11.13 - Prob. 59KCPCh. 11.13 - Prob. 60KCPCh. 11.13 - Prob. 61KCPCh. 11.13 - Prob. 62KCPCh. 11.13 - Prob. 63AAPCh. 11.13 - Prob. 64AAPCh. 11.13 - Prob. 65AAPCh. 11.13 - Prob. 66AAPCh. 11.13 - Prob. 67AAPCh. 11.13 - Prob. 70AAPCh. 11.13 - Calculate the ionic packing factor for (a) MnO and...Ch. 11.13 - Prob. 72AAPCh. 11.13 - Prob. 73AAPCh. 11.13 - Prob. 74AAPCh. 11.13 - Prob. 75AAPCh. 11.13 - Prob. 77AAPCh. 11.13 - Prob. 78AAPCh. 11.13 - Prob. 79AAPCh. 11.13 - Prob. 80AAPCh. 11.13 - Prob. 81AAPCh. 11.13 - Why are triaxial porcelains not satisfactory for...Ch. 11.13 - Prob. 83AAPCh. 11.13 - Prob. 84AAPCh. 11.13 - Prob. 85AAPCh. 11.13 - What causes the lack of plasticity in crystalline...Ch. 11.13 - Prob. 87AAPCh. 11.13 - Prob. 88AAPCh. 11.13 - Prob. 89AAPCh. 11.13 - A reaction-bonded silicon nitride ceramic has a...Ch. 11.13 - Prob. 91AAPCh. 11.13 - Prob. 92AAPCh. 11.13 - Prob. 93AAPCh. 11.13 - Prob. 94AAPCh. 11.13 - How does the silica network of a simple silica...Ch. 11.13 - Prob. 96AAPCh. 11.13 - Prob. 97AAPCh. 11.13 - Prob. 98AAPCh. 11.13 - Prob. 99AAPCh. 11.13 - Prob. 100AAPCh. 11.13 - Prob. 101AAPCh. 11.13 - Prob. 102AAPCh. 11.13 - Prob. 103AAPCh. 11.13 - Prob. 104AAPCh. 11.13 - Prob. 105AAPCh. 11.13 - Prob. 106AAPCh. 11.13 - Prob. 107AAPCh. 11.13 - Prob. 108SEPCh. 11.13 - Prob. 109SEPCh. 11.13 - Prob. 110SEPCh. 11.13 - Prob. 111SEPCh. 11.13 - Prob. 112SEPCh. 11.13 - Alumina (A12O3) and chromium oxide (Cr2O3) are...Ch. 11.13 - (a) How are the ceramic tiles used in the thermal...Ch. 11.13 - The nose cap and the wing leading edges of the...Ch. 11.13 - Prob. 116SEPCh. 11.13 - Prob. 117SEPCh. 11.13 - Prob. 118SEPCh. 11.13 - Prob. 119SEPCh. 11.13 - Prob. 120SEPCh. 11.13 - Prob. 121SEPCh. 11.13 - Prob. 122SEPCh. 11.13 - Prob. 123SEPCh. 11.13 - Prob. 124SEPCh. 11.13 - Prob. 125SEPCh. 11.13 - Prob. 126SEPCh. 11.13 - Prob. 127SEPCh. 11.13 - Prob. 128SEPCh. 11.13 - Prob. 129SEP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 4. Calculate the theoretical yield strength of aluminum. The Young's modulus of aluminum is 70 GPa, and Poisson's ratio is 0.3. You may assume a simple cubic lattice for aluminum crystals. Compare your result with the measured yield strength of pure aluminum (~40 MPa), and explain the main cause of the difference.arrow_forwardDerive all possible slip systems in a face centered cubic unit cell. (Remember slip systems consist of close packed planes in close packed directions) (a) List all the possible permutation of slip systems. (b) How many slip systems do you have if you discounted redundant planes? List all of them. (Explain how you determined that the planes were redundant) (c) How many slip systems do you have if you also discounted negatives of slip directions? List all of them. (d) Out of the remaining slip systems, how many of them are valid? List all the valid slip systems and explain your answer either mathematically or graphically. (e) Draw all the independent slip systems that you get from the problem before.arrow_forward(a). Graphite and diamond are both made from carbon atoms. Kedua-dua grafit dan intan adalah diperbuat dari atom-atom karbon. (). List TWO physical characteristic of each material. Senaraikan DUA sifat-sifat fizikal bagi kedua-dua bahan tersebut (ii) Give ONE application for graphite and ONE for diamond Berikan SATU penggunaan bagi grafit dan SATU penggunaan bagi intan (ii). If both materials are made of carbon, why does such a difference in properties exist? Jika kedua-dua bahan tersebut diperbuat daripada karbon. jelaskan kenapa perbezaan ke atas sifat-sifat ini wujud?arrow_forward
- Calculate resolved shear stress on the (111) [01̅1] slip system of a unit cell in an FCC nickel single crystal if a stress of 13.0 GPa is applied in the [001] direction of a unit cell. Draw the diagram for mentioned slip system.arrow_forwardConsider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a [102] direction. If slip occurs on a (111) plane and in a [101] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 3.2 MPa.arrow_forwardThe accompanying figure shows a unit cell for a hypothetical metal. (a) To which crystal system does this unit cell belong? (b) What would this crystal structure be called? (c) Calculate the density of the material, given that its atomic weight is 145 g/mol. +2 90°i 0.40 nm +y 90° 90° 0.30 nm - 0.30 nmarrow_forward
- A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. If the critical resolved shear stress for this material is 1.18 MPa, calculate the magnitude of applied stress necessary to cause slip to occur on the (111) plane in the [1-10] direction.arrow_forwardQuestion Seven (a) For refractory ceramic materials, cite two characteristics that improve with and two characteristics that are adversely affected by increasing porosity. (b) Show that the minimum cation-to-anion radius ratio for a coordination number of 4 is 0.225. (Hint: Use the AX crystal structure, assuming the anion spheres touch in plane). (c) The unit cell for Al>Os has hexagonal symmetry with lattice parameters a = 0.4759 nm and c 1.2 nm. If the density of this material is equal to 3.99 g/cm' and is calculated according to the formula n'(E Ac+ EAA) V.NA Calculate the atomic packing factor for Al>O, given that the ionic radius for AI is 0.053 nm and i 0' is 0.140 nm. Take N, = 6.023 x 1023 atoms/mole. (d) Mention any three industrial ceramics and indicate their applications.arrow_forwardAluminium has a density of 2.7 g/cm3. Suppose you would like to produce a composite material based onaluminium having a density of 1.5 g/cm3. Design a material that would have this densityarrow_forward
- An FCC crystal is pulled in tension along the [100] direction. (a) Determine the Schmid factor for all slip systems. (b) Identify the slip system(s) that would be activated first. (c) What is the tensile stress under which this crystal will flow plastically? (t. = 50 MPa)arrow_forwardWhat is section property? Give its formula?arrow_forward3. Molybdenum has a BCC crystal structure, an atomic radius of 0.1363 nm, and an atomic weight of 95.94 g/mol. Compute its theoretical density.4. For a brass alloy, the stress at which plastic deformation begins is 345 MPa and the modulus of elasticity is 103 GPa.a. What is the maximum load that may be applied to a specimen with a cross-sectionalarea of 130 mm2 without plastic deformation?b. If the original specimen length is 76 mm, what is the maximum length to which itmay be stretched without causing plastic deformation?arrow_forward
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