Question
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Consider the crocked beam subjected to uniaxial tension shown in Figures 2.8 and 2.9. Find the strain energy release rate (per crack tip). Consider both fixed-end and constant force boundary conditions. FIGURE 2.9 A cracked beam subjected to tension and compression. Find the strain energy release rate G for the cracked beam shown in Figures 2.10 and 2.11. Use simple beam theory to model the cracked and uncracked regions. The thickness of the beam is I. FIGURE 2.10 A cracked beam subjected to tension. Figure 2.11 A cracked beam subject to concentrated forced. A cracked beam is subjected to a pair of forces at the center of the crack (see Figure 2.12). Find the minimum P that can split the beam. Assume E = 70 GPa and Ge = 200 N*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 of unit width is peeled from a rigid surface. FIGURE 2.13 A thin film peeled from the rigid substrate. Assume that the bending rigidity of the film is negligible, that L is large, and that the elastic constants of the film are known. 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 problems in Figures 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 parallel to the surface of the rigid substrate.
Explanation / Answer
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