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- Q6109458 subject Q6464799.
- Q6109458 subject Q7007340.
- Q6109458 subject Q7216531.
- Q6109458 subject Q7464113.
- Q6109458 subject Q8611960.
- Q6109458 abstract "The J-integral represents a way to calculate the strain energy release rate, or work (energy) per unit fracture surface area, in a material. The theoretical concept of J-integral was developed in 1967 by Cherepanov and in 1968 by Jim Rice independently, who showed that an energetic contour path integral (called J) was independent of the path around a crack.Later, experimental methods were developed, which allowed measurement of critical fracture properties using laboratory-scale specimens for materials in which sample sizes are too small and for which the assumptions of Linear Elastic Fracture Mechanics (LEFM) do not hold, and to infer a critical value of fracture energy JIc. The quantity JIc defines the point at which large-scale plastic yielding during propagation takes place under mode one loading.The J-integral is equal to the strain energy release rate for a crack in a body subjected to monotonic loading. This is generally true, under quasistatic conditions, only for linear elastic materials. For materials that experience small-scale yielding at the crack tip, J can be used to compute the energy release rate under special circumstances such as monotonic loading in mode III (antiplane shear). The strain energy release rate can also be computed from J for pure power-law hardening plastic materials that undergo small-scale yielding at the crack tip.The quantity J is not path-independent for monotonic mode I and mode II loading of elastic-plastic materials, so only a contour very close to the crack tip gives the energy release rate. Also, Rice showed that J is path-independent in plastic materials when there is no non-proportional loading. Unloading is a special case of this, but non-proportional plastic loading also invalidates the path-independence. Such non-proportional loading is the reason for the path-dependence for the in-plane loading modes on elastic-plastic materials.".
- Q6109458 thumbnail Integrale-J_2D.png?width=300.
- Q6109458 wikiPageExternalLink 015_Rice_PathIndepInt_JAM68.pdf.
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- Q6109458 wikiPageExternalLink DSTO-GD-0103.pdf.
- Q6109458 wikiPageExternalLink MecaRuptNLFMHRRField.pdf.
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- Q6109458 wikiPageExternalLink 416.pdf.
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- Q6109458 comment "The J-integral represents a way to calculate the strain energy release rate, or work (energy) per unit fracture surface area, in a material.".
- Q6109458 label "J-integral".
- Q6109458 depiction Integrale-J_2D.png.