Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 59SEP
To determine
The difference in surface features and find the type and nature of the fracture in the given figures.
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Two large plates where one is granite plate and the other is slate, are subject to a tensile stress of 40MPa. Specific surface energies for granite= 0.3 J.m-2, and slate=0.7 J.m-2, and the modulus of elasticity are 69 GPa and 92 GPa for granite and slate respectively. Calculate the max length of surface crack that is possible without fracture and describe why these rocks resulted in different values.
A relatively large plate of a glass with cross sectional area of 50 mm2 is subject to an axial load of 2
kN. Take moaulus of elasticity of glass is 69 GPa. During loading, it is observed that strain energy of
0.6 J/m? is lost. Determine the maximum length of a surface flaw that has occurred without fracture.
6. A ceramic part for a jet engine has a yield strength of 648 MPa and a plane
strain fracture toughness of 8.49 MPam 4. To be sure that the part does not
fail, we plan to ensure that the maximum applied stress is only one-third of
the yield strength. We use a nondestructive test that will detect any internal
flaws greater than 0.27 mm long. Assuming that the Y constant is 1.4, does
our nondestructive test have the required sensitivity? Explain.
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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- An alumina component fractures at a stress level of 75 MPa. This material has a fracture toughness of 3 MPa(m)1/2. Estimate the external flaw size responsible for this behavior with a geometric factor of f = 1.12. Report your size in mm. 0.4mm 0.4060 mm 9 mm 0.8 mmarrow_forwardDraw the stress strain diagram for a ductile and brittle material and what is the difference in it? What do you understand by strain hardening? What do you mean by percentage reduction in area? Explain the steps in ductile fracture. Explain the modes of failure in tension test.arrow_forwardA structural component in the shape of a flat plate 24.2 mm thick is to be fabricated from a metal alloy for which the yield strength and plane strain fracture toughness values are 537 MPa and 28.2 MPa-m¹/2, respectively. For this particular geometry, the value of Y is 1.9. Assuming a design stress of 0.4 times the yield strength, calculate the critical length of a surface flaw. i mmarrow_forward
- 2. What do you mean by the fracture mechanics approach to design? Explain in detail and give examples with an outline. Please make it typed, because the written letter interferes with understandingarrow_forwardEXAMPLE 8.1 ACKED You are asked to confirm that the fracture toughness of a particular steel alloy is approximately 60 MPaV/m. Furthermore, the test is to be conducted with the smallest possible load cell, using either a 1-cm-thick, center-cracked panel (CCT) or compact [C(7)] specimen. Which specimen would you choose for this property verification? The stress intensity relations for these two specimen configurations are given in 2 cm and W 10 cm, whereas a = 3 cm and Appendix B. For the CCT panel, a = W 6 cm for the C(7) sample. For the CCT panel, =arrow_forwardEstimate the theoretical fracture strength of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length 0.20 mm and that has a tip radius of curvature of 0.001 mm when a stress of 1450 MPa is applied. The question is attached. The answer is not 29000. WileyPlus marks it as incorrect.arrow_forward
- The fracture of a brittle material is caused only by the maximum tensile stress in the material, and not the compressive stress. True or false? Explain why?arrow_forwardPlease solve these two questions.. please do it fast a.How is a failure defined in fracture mechanics? How is it different from conventional failure theories? b) Explain the three pure modes of fracture. Describe the most common one, detailing the critical parameter and failure criteria.arrow_forwardEstimate the theoretical fracture strength (in MPa) of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length 0.25 mm that has a tip radius of curvature of 0.004 mm when a stress of 1060 MPa is applied.arrow_forward
- What is a bone stress fracture, and how does it relate to the content of this chapter?arrow_forward(b) A 12.8 mm diameter rod and gauge length of 40 mm of aluminum alloy is pulled to failure in a tensile test. If final diameter of the rod fracture surface is 10.8 mm and fracture gauge is 64 mm, answer the following: (i) Calculate the ductility in percent reduction in area of the sample. (ii) Explain how ductility is related to the toughness of the material.arrow_forwardSummarize the fundamental concept behind Griffith’s major contribution to understanding the fracture process.arrow_forward
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