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1656_C009.fm  Page 406  Monday, May 23, 2005  3:58 PM





                       406                                Fracture Mechanics: Fundamentals and Applications





























                       FIGURE 9.12 Schematic driving force diagram for load control and displacement control.


                          Methods for assessing structural stability include crack driving force diagrams and stability
                       assessment diagrams. The former is a plot of J and J  vs. crack length, while a stability assessment
                                                                 R
                       diagram is a plot of tearing modulus vs. J. These diagrams are merely alternative methods for
                       plotting the same information.
                          Figure 9.12 shows a schematic driving force diagram for both load control and displacement
                       control. In this example, the structure is unstable at P  and ∆  in load control, but the structure is
                                                                        3
                                                                  3
                       stable in displacement control. Figure 9.13 illustrates driving force curves for this same structure,
                       but with fixed remote displacement ∆  and finite system compliance C . The structure is unstable
                                                                                M
                                                     T
                       at ∆ T(4)  in this case.




























                       FIGURE 9.13 Schematic driving force diagram for a fixed remote displacement.
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