tension to a stress of 750 MPa. We can assume that the critical stress (o crtical) require for crack propagation in this case is 25 GPa, which is one tenth of its Youngs modulus (a) Will the specimen fail if it contains an internal crack with the length of 0.75 mm an a tip radius of curvature of 0.001 mm2 (b) What is the maximum tension stress can be applied to the specimen without any failure or fracture if we have the same internal crack with the length of 0.75 mm an a tip radius of curvature of 0.001 mm? (c) What is the maximum length of the internal crack with a tip radius of curvature of 0 001 mm can be allowed without any failure or fracture for a teneile test with

tension to a stress of 750 MPa. We can assume that the critical stress (o crtical) require for crack propagation in this case is 25 GPa, which is one tenth of its Youngs modulus (a) Will the specimen fail if it contains an internal crack with the length of 0.75 mm an a tip radius of curvature of 0.001 mm2 (b) What is the maximum tension stress can be applied to the specimen without any failure or fracture if we have the same internal crack with the length of 0.75 mm an a tip radius of curvature of 0.001 mm? (c) What is the maximum length of the internal crack with a tip radius of curvature of 0 001 mm can be allowed without any failure or fracture for a teneile test with

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Some aircraft component is fabricated from an aluminium alloy that has a plane strain fracture toughness of 40 MPa√m. It has been determined that fracture results at a stress of 300 MPa when the maximum (or critical) internal crack length is 4.0 mm. For this same component and alloy, will fracture occur at a stress level of 260 MPa when the maximum crack is 6.0 mm? Why or why not?
Some aircraft component is fabricated from an aluminium alloy that has a plane strain fracture toughness of 35 MPa√m. It has been determined that fracture results at a stress of 250 MPa when the maximum (or critical) internal crack length is 2.0 mm. For this same component and alloy, show that whether fracture will or will not occur if the stress level is at 325 MPa and the maximum internal crack length is 1.0 mm.
A structural beam is built from steel with a yield strength of 345 MPa. The structure has a minimum service temperature of 5 oC, where the fracture toughness of the steel KIC = 60 MPam. What is the minimum surface crack lengths that must be detected by quality control to ensure that the full yield strength of the steel is available in the beam? Assume geometric parameter Y = 1 and plain strain conditions. Answer in millimeters.
Estimate 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 0.5 mm and having a tip radius of curvature of 5(10-3) mm, when a stress of 1035 MPa is applied.
An aircraft component is fabricated from an aluminium alloy, which has a plane strain fracture toughness of 50 MPam^1/2. It has been determined that fracture results at a stressof 350 MPa when the maximum internal crack length is 5 mm. For the same component , will the fracture occur at a stress level of 260 MPa when the internal crack length is 7 mm. State reason for your answer by putting in relevant calculated values
specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa√m is exposed to a stress of 1030 MPa. Will this specimen experience fracture if it is known that the largest surface crack is 0.5 mm long? Why or why not? Assume that the parameter Y has a value of 1.0.
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.
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.
An infinite steel plate, 30 mm thick, is subjected to a tensile stress. It contains a through thickness crack perpendicular to the stress direction. (a) Calculate the fracture stress (σc) for a crack length (2a) of 50 mm, assuming plane strain conditions. (b) If conditions were plane stress instead, what would be the failure condition, and at what expected stress level? (c) What microstructure would you expect such a steel to possess?
(a) An AISI steel plate has width W = 30 cm and a central crack with size of 3 mm. The plate is under a uniform stress. Find the maximum value of the stress is KIc = 50 MPa m1/2. (b) If the part has to operate at a stress of 1,500 MPa, compute the maximum crack size that the plate can have.
An infinitely large sheet is subjected to a gross stress of 350 MPa. There is a central crack 5/π cm long and the material has a yield strength of 500 MPa. a. Calculate the stress-intensity factor at the tip of the crack. b. Calculate the plastic-zone size at the crack tip. c. Comment upon the validity of this plastic-zone correction factor for the above case.
The Kic value of a steel is M within a square root of 186 MPa. If the stress to which the steel is exposed is 800 MPa, what is the maximum crack length that can be tolerated? (Take Y = 1.1)