III-A component is subjected to a cyclic loading at the frequency of once every 5 minutes for 5 years. The cycle is between 220 MPa in tension and 50 MPa in compression. The fracture toughness of the material is 80 MPa√m, Y = 1.12, C = 1.62 x 10-12 (MPa and m) and n = 3.2, and we know that it has initial cracks of length 0.1 mm. At the end of the 5 years, because of the failure of other components, the stresses become 10 times larger. Is the component able to hold the new cyclic loading? If so, for how long? If not, explain.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
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III-A component is subjected to a cyclic loading at the frequency of once every 5
minutes for 5 years. The cycle is between 220 MPa in tension and 50 MPa in
compression. The fracture toughness of the material is 80 MPa√m, Y = 1.12, C = 1.62
x 10-12 (MPa and m) and n = 3.2, and we know that it has initial cracks of length 0.1
mm. At the end of the 5 years, because of the failure of other components, the
stresses become 10 times larger. Is the component able to hold the new cyclic
loading? If so, for how long? If not, explain.
Transcribed Image Text:III-A component is subjected to a cyclic loading at the frequency of once every 5 minutes for 5 years. The cycle is between 220 MPa in tension and 50 MPa in compression. The fracture toughness of the material is 80 MPa√m, Y = 1.12, C = 1.62 x 10-12 (MPa and m) and n = 3.2, and we know that it has initial cracks of length 0.1 mm. At the end of the 5 years, because of the failure of other components, the stresses become 10 times larger. Is the component able to hold the new cyclic loading? If so, for how long? If not, explain.
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