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Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture.
A crack growth equation is used for calculating the size of a fatigue crack growing from cyclic loads. The growth of a fatigue crack can result in catastrophic failure, particularly in the case of aircraft. When many growing fatigue cracks interact with one another it is known as widespread fatigue damage. A crack growth equation can be used to ...
The resistance curve (R-curve) is utilized to study crack propagation and toughness development of a material by plotting the crack extension force versus crack extension. In bone literature, the R-curve is said to characterize "fracture toughness" behavior, but this term is not favored in engineering literature and the term "crack growth ...
In a 1961 paper, P. C. Paris introduced the idea that the rate of crack growth may depend on the stress intensity factor. [4] Then in their 1963 paper, Paris and Erdogan indirectly suggested the equation with the aside remark "The authors are hesitant but cannot resist the temptation to draw the straight line slope 1/4 through the data" after reviewing data on a log-log plot of crack growth ...
This page was last edited on 8 October 2008, at 15:12 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...
In a falling R-curve regime, as a crack propagates, the resistance to further crack propagation drops, and it requires less and less applied in order to achieve each subsequent increment of crack extension . Materials experiencing these conditions would exhibit highly unstable crack growth as soon as any initial crack began to propagate.
Because of the pre-existing crack, the elastic energy released by fracture will associate with the surface energy at new crack surfaces, [12] and it was found that the crack propagation rate can be described by a function of the energy release rate, depending on which regime of crack propagation this relation is in. [11] Four regimes were ...
Cohesive zone fracture model. The cohesive zone model (CZM) is a model in fracture mechanics where fracture formation is regarded as a gradual phenomenon and separation of the crack surfaces takes place across an extended crack tip, or cohesive zone, and is resisted by cohesive tractions.