Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 11.13, Problem 129SEP
To determine
When there is a 1-in. crack in the automobile windshield, what has to be done to stop its propagation?
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You are called as an expert witness to analyze the fracture of a sintered silicon carbide plate that was fractured in bending when a blunt load was applied to the plate center. Measurement of the distance between the fracture origin and the mirror/mist boundary on the fracture surface gives a radius of 0.796 mm. You are given three pieces of the same SiC to test, and you determine that the mirror radius is 0.603, 0.203, and 0.162 mm for bending failure stress levels of 225, 368, and 442 MPa, respectively. What is your estimate of the stress present at the time of fracture for the original plate?
The specific surface energy for aluminum
oxide is 0.90 N/m, and the elastic modulus is
393 GPa. The critical stress, in MPa, required
for propagation of a surface crack of length
0.25 mm is
9.49 Pa
30.0 GPa
90.0 GPa
30.0 MPa
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Rigid material
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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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- QUESTION 18 A chemicals company is looking to optimise the materials selection for their synthesis vessel with safety being the key priority. The tank can be treated as a small thin-walled spherical pressure vessel and the engineers are considering a 'yield before break' design concept. Given that a crack of length will propagate by fast fracture when the stress intensity factor reaches the fracture toughness of the material select the correct materials property index relevant to this design criterion. Fracture toughness K₁=Y₁₁√√ IC O M= O M= OM= OM= O M= OM= K f P K 2 IC K IC 6 f 6 P K f IC σα y K IC 2 f ICarrow_forwardQUESTION 18 A chemicals company is looking to optimise the materials selection for their synthesis vessel with safety being the key priority. The tank can be treated as a small thin-walled spherical pressure vessel and the engineers are considering a 'yield before break' design concept. Given that a crack of length will propagate by fast fracture when the stress intensity factor reaches the fracture toughness of the material select the correct materials property index relevant to this design criterion. Fracture toughness K₁=Y₁₁√√ IC O M= O M= O M= COM: = O M= O M= K 6 6 P K IC K K IC P σα y 6 IC K IC 2 f IC 2arrow_forwardQuestion 1 You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt- chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows... A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some magnitude F produces a 7x10³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded). Q1H: Provide a brief rationale based on calculations used to support your answer. That is, how would you explain the behavior of the "new alloy" material to your design team? Table of properties: Assume Poisson's ratio is 0.3 for all materials Process Elastic Modulus (GPa) Material CoCr F75 As cast/Annealed 210 CoCr F90 Hot forged New alloy Z X ↑ F df O 210 110 Yield Strength (MPa) 450-517 900-1200 600 Tensile Strength (MPa) 655-890 1400-1600 700arrow_forward
- Question 1 You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt- chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows... A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some magnitude F produces a 7x10³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded). Q1C-D: Using the table of material properties below, calculate the magnitude of stress (o) and applied load (F) required to produce the 7x10-³ mm change in diameter for rods fabricated from F75 CoCr alloy (as cast) and F90 CoCr alloy (hot forged) materials.arrow_forwardYou are called in to evaluate the failure of a component produced from a nickel superalloy (Inconel). The evaluator is not sure what they are looking at. You are sent the following micrograph. Educate this young engineer. a. Detail everything that you can see in terms of the characteristics of failure. b. Define if you can whether this is a ductile or brittle failure. c. Can you interpret the direction of fracture progression?arrow_forwardQuestion 1 You are working on a design team at a small orthopaedic firm. You have been asked to select a cobalt- chrome-molybdenum (CoCr) material that will not experience plastic deformation under a specific mechanical test, as follows... A tensile stress is applied along the long axis of a solid cylindrical rod that has a diameter of 10 mm. An applied load of some magnitude F produces a 7x10-³ mm change in diameter (see figure below, original shape is blue, elongated shape is unshaded). Q1G: If your design required using the new material to create a wire, what is the largest diameter that would lead to ductile behavior while still avoiding plastic deformation when exposed to the above loading conditions?arrow_forward
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- b) A reservoir rock contains matrix and fracture. The fracture is 20% of the total bulk volume with fracture porosity of 25%. The porosity of the matrix is 15%. Calculate the average porosity of the reservoir rockarrow_forwardWhen we say that a material sample has reached its elastic limit, we mean that Question 2 options: if any further stress is applied, the sample will break. None of the other choices is correct. the material will continue deforming with no further additional stress. if any further stress is applied, the deformation of the sample will not be reversible. the deformation no longer follows Hooke's law. Steam burns can be much more severe than burns caused by boiling water. The reason for this is thatarrow_forwardQUESTION 8 A small component is made from aluminium 7475 where Kc = 35.2 MPa m 1/2 Non-destructive testing by micro-computed tomography showed the component to contain cracks of up to 2a = 0.05 mm in length. Laboratory tests showed the crack growth rate under cyclic loading is given by: Where A= 1.10x10-13 Assuming that: da dN = ΑΔΚΑ (MN m-2)-4 m-1 and the component is subjected to an alternating stress of range A = 180 MPa about a mean tensile stress of 40/2. ΔΚ = Δονπα Calculate the number of cycles to failure, give your answer in number of 1000s of cycles to 3 significant figures (e.g. 101,000 cycles would be inputted as 101)arrow_forward
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