In materials modeled by linear elastic fracture mechanics (LEFM), crack extension occurs when the applied energy release rate exceeds , where is the material's resistance to crack extension. Conceptually can be thought of as the energetic gain associated with an additional infinitesimal increment of crack extension, while can be thought of as the energetic penalty of an additional infinitesimal increment of crack extension. At any moment in time, if then crack extension is energetically favorable. A complication to this process is that in some materials, is not a constant value during the crack extension process. A plot of crack growth resistance versus crack extension is called a crack growth resistance curve, or R-curve. A plot of energy release rate versus crack extension for
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| - In materials modeled by linear elastic fracture mechanics (LEFM), crack extension occurs when the applied energy release rate exceeds , where is the material's resistance to crack extension. Conceptually can be thought of as the energetic gain associated with an additional infinitesimal increment of crack extension, while can be thought of as the energetic penalty of an additional infinitesimal increment of crack extension. At any moment in time, if then crack extension is energetically favorable. A complication to this process is that in some materials, is not a constant value during the crack extension process. A plot of crack growth resistance versus crack extension is called a crack growth resistance curve, or R-curve. A plot of energy release rate versus crack extension for (en)
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| - In materials modeled by linear elastic fracture mechanics (LEFM), crack extension occurs when the applied energy release rate exceeds , where is the material's resistance to crack extension. Conceptually can be thought of as the energetic gain associated with an additional infinitesimal increment of crack extension, while can be thought of as the energetic penalty of an additional infinitesimal increment of crack extension. At any moment in time, if then crack extension is energetically favorable. A complication to this process is that in some materials, is not a constant value during the crack extension process. A plot of crack growth resistance versus crack extension is called a crack growth resistance curve, or R-curve. A plot of energy release rate versus crack extension for a particular loading configuration is called the driving force curve. The nature of the applied driving force curve relative to the material's R-curve determines the stability of a given crack. The usage of R-curves in fracture analysis is a more complex, but more comprehensive failure criteria compared to the common failure criteria that fracture occurs when where is simply a constant value called the critical energy release rate. An R-curve based failure analysis takes into account the notion that a material's resistance to fracture is not necessarily constant during crack growth. R-curves can alternatively be discussed in terms of stress intensity factors rather than energy release rates , where the R-curves can be expressed as the fracture toughness as a function of crack length . (en)
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