Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 51SEP
While driving your car, a small pebble hits your front windshield and creates a small crack. What do you think happens to this small crack if you ignore it and keep driving for days after the incident? Can you suggest a solution?
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An 80μm diameter glass fiber is confirmed to have no surface cracks longer than 5μm. If the theoretical strength of the fiber is 5GPa, what can you predict the expected minimum breaking strength of the fiber to be? Your answer should be in units of MPa.
Hint: The crack tip size will be no smaller than the ionic diameter (twice the radius) of O^2− and the crack length will be no longer than 5μm.
An 80μm diameter glass fiber is confirmed to have no surface cracks longer than 5μm. If the theoretical strength of the fiber is 5GPa, what can you predict the expected minimum breaking strength of the fiber to be? Your answer should be in units of MPa.
Hint: The crack tip size will be no smaller than the ionic diameter (twice the radius) of O^2−(see appendix 2) and the crack length will be no longer than 5μm.
The overall fracture strength of glass may be increased by etching away a thin surface layer. It is thought that the etching can alter the surface crack geometry.
Calculate the ratio of the etched and original crack tip radii if the fracture strength increases by a factor of 8 when 48 percent of the crack length is removed.
Chapter 7 Solutions
Foundations of Materials Science and Engineering
Ch. 7.10 - What are the characteristics of the surface of a...Ch. 7.10 - Prob. 2KCPCh. 7.10 - Prob. 3KCPCh. 7.10 - Prob. 4KCPCh. 7.10 - Prob. 5KCPCh. 7.10 - Prob. 6KCPCh. 7.10 - Prob. 7KCPCh. 7.10 - Prob. 8KCPCh. 7.10 - Prob. 9KCPCh. 7.10 - How does the carbon content of a plain-carbon...
Ch. 7.10 - Describe a metal fatigue failure.Ch. 7.10 - What two distinct types of surface areas are...Ch. 7.10 - Prob. 13KCPCh. 7.10 - Prob. 14KCPCh. 7.10 - Prob. 15KCPCh. 7.10 - Describe the four basic structural changes that...Ch. 7.10 - Describe the four major factors that affect the...Ch. 7.10 - Prob. 18KCPCh. 7.10 - Prob. 19KCPCh. 7.10 - Prob. 20KCPCh. 7.10 - Prob. 21KCPCh. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - Determine the critical crack length for a through...Ch. 7.10 - The critical stress intensity (KIC) for a material...Ch. 7.10 - What is the largest size (in mm) of internal...Ch. 7.10 - A Ti-6Al-4V alloy plate contains an internal...Ch. 7.10 - Using the equation KIC=fa, plot the fracture...Ch. 7.10 - (a) Determine the critical crack length (mm) for a...Ch. 7.10 - A fatigue test is made with a maximum stress of 25...Ch. 7.10 - A fatigue test is made with a mean stress of...Ch. 7.10 - A large, flat plate is subjected to...Ch. 7.10 - Prob. 32AAPCh. 7.10 - Refer to Problem 7.31: Compute the final critical...Ch. 7.10 - Prob. 34AAPCh. 7.10 - Prob. 35AAPCh. 7.10 - Equiaxed MAR-M 247 alloy (Fig. 7.31) is used to...Ch. 7.10 - Prob. 37AAPCh. 7.10 - If DS CM 247 LC alloy (middle graph of Fig. 7.31)...Ch. 7.10 - Prob. 39AAPCh. 7.10 - Prob. 40AAPCh. 7.10 - Prob. 41SEPCh. 7.10 - Prob. 42SEPCh. 7.10 - A Charpy V-notch specimen is tested by the...Ch. 7.10 - Prob. 44SEPCh. 7.10 - Prob. 45SEPCh. 7.10 - Prob. 46SEPCh. 7.10 - Prob. 47SEPCh. 7.10 - Prob. 48SEPCh. 7.10 - Prob. 49SEPCh. 7.10 - Prob. 50SEPCh. 7.10 - While driving your car, a small pebble hits your...Ch. 7.10 - Prob. 52SEPCh. 7.10 - Prob. 53SEPCh. 7.10 - Prob. 54SEPCh. 7.10 - Prob. 56SEPCh. 7.10 - Prob. 57SEPCh. 7.10 - Prob. 58SEPCh. 7.10 - Prob. 59SEPCh. 7.10 - The components in Figure P7.60 are high-strength...
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- The fracture strength of glass may be increased by etching away a thin surface layer. It is believed that the etching may alter the surface crack geometry (i.e. reduce crack length and increase tip radius). Calculate the ratio of the etched and original crack tip radii if the fracture strength is increased by a factor of 8 when 48% of the crack length is removed.arrow_forwardWhat is a fatigue limit, and what relevance does it have for lifetimes in the gigacycle (109) regime? Explainarrow_forwardUsing information acquired from the National Transportation Safety Board (NTSB), explain the role that epoxy creep played in the 2006 collapse of a 3-ton concrete ceiling panel in Boston’s Fort Point Channel Tunnel. What could have been done to prevent this disaster?arrow_forward
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