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1. A slender elastic bar shown in the figure below has a thickness B and a slit (crack) of length 2a through the thickness.
1. A slender elastic bar shown in the figure below has a thickness B and a slit (crack) of length 2a through the thickness. A pair of loads P as shown (symmetric with respect to two crack tips) is applied to drive the slit (crack) in opening mode. 2. Write down an expression for compliance C in terms of a, B, h and elastic modulus E'. 3. Using the Compliance method, obtain the strain energy release rate G in terms of a, P, B, h and the elastic modulus E'. 4. For the bar. Determine the maximum load (PCr) that can be applied to the bar before it fails by fracture if the critical energy release rate Gc= 75 lb/in. Hint: The top and bottom portions of the slender bar can be treated as slender beams (2a >> h) fixed at both ends (fixed-fixed beams).
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Solutions Step 1 a Compliance is defined as the ratio of the change in strain to the applied stress ...Get Instant Access to Expert-Tailored Solutions
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