Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 7.10, Problem 34AAP
To determine
The critical crack length.
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7. By referring to a sketch showing a stress concentration, describe the phenomenon of crack initiation in high cycle fatigue and comment on the proportion of fatigue life that is used in initiating a crack under these conditions. 8. By considering a notched metal bar as an example, explain (with the aid of diagrams), how you would reduce the probability of fatigue failure by applying self-stresses. 9. Describe, with sketched examples, how the stress-raising effect of circular and elliptical holes can be considered qualitatively as being analogous to liquid flow. 10. By considering a circular hole in a thin elastic sheet, explain (with the aid of any diagrams as appropriate) how a stress concentration can magnify stress. 11. Explain the principles of designing alloys for oxidation resistance.12. Describe and explain (with the aid of a sketch) how crack propagation is enhanced through stress corrosion cracking
Answer All parts
Differentiate transverse and longitudinal cracks.
Interpret the graph of bending stress-strain curve for ductile and brittle material.
A crack has been discovered along the edge of a reinforcing rib in titanium housing. The rib is 0.5 inches thick and 4.0 inches wide. The crack extends completely through the thickness and is about 1.20 inches long. If the housing is subjected to static loading only, and the maximumestimated loading produces a tensile load along the rib axis of 50,000 Ib, should the housing be removed from service? The housing material exhibits a yield strength of 150 ksi and a plane strain fracture toughness of 50 ksi in1/2.
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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- 8.a) Calculate the theoretical fracture strength of a brittle material wherein fracture occurs by propagation of an elliptically shaped 0.25 mm surface crack with a 1.2 × 10-3 mm tip radius under an applied 1200 MPa stress. b) If the specific surface energy for a material is 0.30 J/m2 and its elastic modulus is 69 GPa, calculate the minimum stress required for propagation of a surface crack 0.05 mm in length. Based on this calculation, estimate the materials fracture toughness.arrow_forwardA material, in region II of fatigue loading follows Paris relationship given byda/dN (m/cycle) = 1 x 10-8 (δK)2.2The stress range applied δσ = 100 MPa. The number of cycles required for a crack to grow from 2mm to 8mm will be 4723 cycles 3723 cycles 2723 cycles 1723 cyclesarrow_forwardExplain briefly about the difference between brittle failure and ductile failure.arrow_forward
- Why does the tensile fracture occur suddenly?arrow_forwardIs the maximum shear stress theory is based on the idea of slipping that occurs in ductile failure?arrow_forwardWhat is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 10^-4 mm (10^-5 in.) and a crack length of 2.5 10^-2 mm (10^-3 in.) when a tensile stress of 170 MPa (25,000 psi) is applied?arrow_forward
- Explain the principle used in the fatigue test with advantages, disadvantages, and applications.arrow_forwardBriefly explain the stages of fatigue failure.arrow_forwardSome aluminum aircraft components have a KIc = 35 MPa(m)1/2. It has been determined that failure occurs at a stress of 250 MPa when the critical internal crack length is 2 mm. Will this component achieve failure at a stress of 325 MPa when the critical internal crack length is 1.1 mm?arrow_forward
- Consider a steel plate with a through-thickness edge crack like the one shown in Fig. 6.21f. The plate width (W) is 75 mm, and its thickness (t) is 12.0 mm. Furthermore, the plane-strain fracture toughness and yield strength values for this material are 80 MPa m1/2 and 1200 MPa, respectively. If the application in which the plate is used is expected to cause a stress of 300 MPa along the axis perpendicular to the crack, would you expect failure to occur if the crack length a is 15 mm? Explain.arrow_forwardThe part of the vehicle is production from an magnesium alloy ,if KIC 40 MPa√m. The fracture occurred at a pressure of 195 MPa when the maximum edge crack length was 3.0 mm. Calculate the value Y. If a stress level is increased to 275 MPa and the maximum edge crack length is reduced to 2.3 mm, predict whether any fracture will occur. Compare your answer with existing data. Justify your answerarrow_forwardA metallic rod with an initial diameter of 10 mm and an initial length of 50 mm is subjected to the tensile test. After the fracture, the final length was measured as 51.8 mm, and the final diameter was measured as 9.5 mm.(a) Calculate modulus of elasticity, ultimate tensile strength, elongation at fracture in %,reduction of area in %, true stress at maximum load, true strain at maximum load, strain hardening exponent, strength coefficient.?arrow_forward
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