Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 11.13, Problem 92AAP
To determine
The largest-sized internal flaw that the material can support.
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Students have asked these similar questions
Computational analysis has determined that a particular design of glass ceramic component has a maximum allowable
tensile stress of 16 MPa
Your development team has suggested that a specific grade of Wollastonite with a Youngs Modulus of 89 GPa and
a specific surface energy of 0.059 J/m² may be suitable.
What would be the maximum allowable size of any internal pores or defects in the glass ceramic component?
(This question has only one correct answer)
O a. 13.79 mm
O b. 26.12 mm
O c. 13.06 mm
O d. 27.58 μm
e. 13.79 μm
O f. 26.12 μm
O g. 13.06 μm
A material with a volume centered cubic crystal structure and a single crystalline [100] A stress of 25 MPa is applied in the crystallographic direction. This slip in the sliding system in the unit cage (101) [11,-1] of the material under loading Calculate the stress component.
Show on the figure.
Consider an iron single crystal with CCC crystal structure oriented in such a way that a tensile stress is applied to the along one direction [010].
a) Calculate the shear stress resolved along a plane (110) and a direction when a tensile stress of 52 MPa is applied. The normal to the slip plane forms 45° with traction direction. the direction of slip forms 55º with the traction direction.
b) If the slip occurs in one plane (110) and in one direction and the critical resolved shear stress is 30 MPa, calculate the magnitude of tensile stress that must be applied to initiate the flow.
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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- 3. 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/ steel has zero mean stree of 320 Mpa ,mean stress of 200 Mpa,tensile stress of 740 Mpa,yield stress of 1.5 tensile stress 1- Calculate the fatique limit by using the three equations of fatique behavior 2-sketch the fatique behaviour for eachs 3- which of the three eaquatons is more suitable for calculations fatique of glasses materials and whyarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation? Select one: a.120.5 MPa, no b.140.5, no c.129.5, yes d.123.5 MPa, yes e.133.5 MPa, yesarrow_forward
- In an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation? Select one: a. 140.5, no Ob. 129.5, yes OC. 120.5 MPa, no O d. 133.5 MPa, yes O e. 123.5 MPa, yesarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation? Select one: a. O b. 129.5, yes C. 133.5 MPa, yes e. 120.5 MPa, no d. 140.5, no 123.5 MPa, yesarrow_forwardIn an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation?arrow_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_forwardConsider 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.arrow_forwardThe yield stresses (σY) have been measured using steel and aluminum specimens of various grain sizes given in the attached image.On the basis of data answer the following questions: (a) Determine the coefficients σ0 and kY in the Hall- Petch for these two materials.(b) Determine the yield stress in each material for a grain size of d=26 μm.arrow_forward
- You have been asked to draw up a specification for a ceramic cladding tile that is likely to experience tensile stresses of 64 MPa during its installation and service lifetime. If the ceramic has a specific surface energy of 0.28 J/m2 and its Youngs Modulus is 82 GPa what would be the maximum length of an internal flaw that would not result in fracture of the tile? (This question has only one correct answer) O a. 3.79 mm O b. 7.14 mm c. 7.57 um Ο d.3.79 μm O e. 3.57 µm O f. 3.57 mm g. 7.14 umarrow_forwardCalculate the typical relaxation time for silicate glassand comment on its propensity for stress relaxation at roomtemperature. E ~ 70 GPa and η ~ 1 x 1012 GPa-s (1022poise).arrow_forward5. Consider 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 3.42 MPa.arrow_forward
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