Question
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Consider the cracked beam subjected to uniaxial tension shown in Figure 2.8 and 2.9. Find the strain energy release rate (per crack tip). Consider both fixed-end and constant force boundary conditions. FIGURE 2.8 A cracked beam subjected to tension. FIGURE 2.9 A cracked beam subjected to tension and compression. Find the strain energy release rate G for the cracked beam shown in Figure 2.10 and 2.11. Use simple beam theory to model the cracked and uncracked regions. The thickness of the beam is t. FIGURE 2.10 A cracked beam subjected to concentrated forces. FIGURE 2.11 A cracked beam subjected to concentrated forces. A cracked beam is subjected to a pair of forces at the centre of the crack (see Figure 2.12). Find the minimum P that can split the beam. Assume E = 70 GPa and Gc = 200 N middot m/m2. FIGURE 2.12 A center-cracked beam. Find the strain energy release rate for the problem shown in Figure 2.13 wherein a thin elastic film if unit width is peeled from a rigid surface. A thin flim peeled from the rigid substrate. Assume that the bending ruguduty of the film is negligible, that L is large, and that the elastic constants of the film arer known. FIGURE 2.13 The thin film is pulled parallel to the rigid surface as shown in figure 2.14. Compare the strain energy release rate and the strain energy gained by the film during crack extension for both problem in Figure 2.13 and 2.14. For the problem of Figure 2.13. why is the strain energy released not the same as the strain energy gained by the film? FIGURE 2.14 A thin film pulled paralled to the surface of the rigid substrate.
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