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Explain the basis of Paris' Law and discuss with a sketch the relationship between crack growth rate and stress intensity factor and the limitation in its application.

Explain the basis of Paris' Law and discuss with a sketch the relationship between crack growth rate and stress intensity factor and the limitation in its application.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2. (a) (b) Explain the basis of Paris' Law and discuss with a sketch the relationship between crack growth rate and stress intensity factor and the limitation in its application. An engine component made of alloy steel is subject to cyclic tensile stress of 310MPa and cyclic compressive stress of 120 MPa during normal operation. Prior to the operation, using ultrasonic non- destructive technique, it was found that there is an edge crack of length 2 mm. Note that under Paris' Law, the crack growth rate (da/dN) is given in the Appendix, where (da//dN) is in m/cycle, AK = Y(AG) ( a)¹/2, C = 2.0 x 10-¹2, n = 3. The material properties of the steel component are as follows: Kic=58MPa (m)¹/2, oy = 560MPa, Y = 1.1. (i) Find the critical crack length. (ii) Determine the fatigue life of this structure based on attaining a critical size for fast fracture.
Transcribed Image Text:2. (a) (b) Explain the basis of Paris' Law and discuss with a sketch the relationship between crack growth rate and stress intensity factor and the limitation in its application. An engine component made of alloy steel is subject to cyclic tensile stress of 310MPa and cyclic compressive stress of 120 MPa during normal operation. Prior to the operation, using ultrasonic non- destructive technique, it was found that there is an edge crack of length 2 mm. Note that under Paris' Law, the crack growth rate (da/dN) is given in the Appendix, where (da//dN) is in m/cycle, AK = Y(AG) ( a)¹/2, C = 2.0 x 10-¹2, n = 3. The material properties of the steel component are as follows: Kic=58MPa (m)¹/2, oy = 560MPa, Y = 1.1. (i) Find the critical crack length. (ii) Determine the fatigue life of this structure based on attaining a critical size for fast fracture.
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