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- J-integral 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.".
- J-integral thumbnail Integrale-J_2D.png?width=300.
- J-integral wikiPageExternalLink 015_Rice_PathIndepInt_JAM68.pdf.
- J-integral wikiPageExternalLink 3075.
- J-integral wikiPageExternalLink 2621.
- J-integral wikiPageExternalLink 755.
- J-integral wikiPageExternalLink 903.
- J-integral wikiPageExternalLink DSTO-GD-0103.pdf.
- J-integral wikiPageExternalLink MecaRuptNLFMHRRField.pdf.
- J-integral wikiPageExternalLink bmsht.html.
- J-integral wikiPageExternalLink 416.pdf.
- J-integral wikiPageExternalLink index.html.
- J-integral wikiPageID "4323521".
- J-integral wikiPageLength "17445".
- J-integral wikiPageOutDegree "65".
- J-integral wikiPageRevisionID "704296475".
- J-integral wikiPageWikiLink Antiplane_shear.
- J-integral wikiPageWikiLink Category:Failure.
- J-integral wikiPageWikiLink Category:Materials_science.
- J-integral wikiPageWikiLink Category:Materials_testing.
- J-integral wikiPageWikiLink Category:Mechanics.
- J-integral wikiPageWikiLink Category:Solid_mechanics.
- J-integral wikiPageWikiLink Cauchy_stress_tensor.
- J-integral wikiPageWikiLink Chain_rule.
- J-integral wikiPageWikiLink Constitutive_equation.
- J-integral wikiPageWikiLink Displacement_(vector).
- J-integral wikiPageWikiLink Divergence_theorem.
- J-integral wikiPageWikiLink Einstein_notation.
- J-integral wikiPageWikiLink Elasticity_(physics).
- J-integral wikiPageWikiLink Energy.
- J-integral wikiPageWikiLink Flow_plasticity_theory.
- J-integral wikiPageWikiLink Fracture.
- J-integral wikiPageWikiLink Fracture_mechanics.
- J-integral wikiPageWikiLink Fracture_toughness.
- J-integral wikiPageWikiLink Greens_theorem.
- J-integral wikiPageWikiLink Infinitesimal_strain_theory.
- J-integral wikiPageWikiLink Integral.
- J-integral wikiPageWikiLink Linear_elasticity.
- J-integral wikiPageWikiLink Methods_of_contour_integration.
- J-integral wikiPageWikiLink Path_dependence.
- J-integral wikiPageWikiLink Plane_stress.
- J-integral wikiPageWikiLink Plasticity_(physics).
- J-integral wikiPageWikiLink Poissons_ratio.
- J-integral wikiPageWikiLink Polar_coordinate_system.
- J-integral wikiPageWikiLink Power-law_hardening.
- J-integral wikiPageWikiLink Proportional_loading.
- J-integral wikiPageWikiLink Ramberg-Osgood_plasticity.
- J-integral wikiPageWikiLink Simply_connected_space.
- J-integral wikiPageWikiLink Singularity_(mathematics).
- J-integral wikiPageWikiLink Solid_mechanics.
- J-integral wikiPageWikiLink Strain_energy_density.
- J-integral wikiPageWikiLink Strain_energy_release_rate.
- J-integral wikiPageWikiLink Stress_(mechanics).
- J-integral wikiPageWikiLink Stress_intensity_factor.
- J-integral wikiPageWikiLink Toughness.
- J-integral wikiPageWikiLink Traction_(engineering).
- J-integral wikiPageWikiLink Work_hardening.
- J-integral wikiPageWikiLink Yield_(engineering).
- J-integral wikiPageWikiLink Youngs_modulus.
- J-integral wikiPageWikiLink File:HRRSingularity_plain.svg.
- J-integral wikiPageWikiLink File:Integrale-J_2D.png.
- J-integral wikiPageWikiLink File:J_integralPathIndep.png.
- J-integral wikiPageWikiLinkText "J-integral".
- J-integral wikiPageUsesTemplate Template:Continuum_mechanics.
- J-integral wikiPageUsesTemplate Template:Reflist.
- J-integral subject Category:Failure.
- J-integral subject Category:Materials_science.
- J-integral subject Category:Materials_testing.
- J-integral subject Category:Mechanics.
- J-integral subject Category:Solid_mechanics.
- J-integral type Mechanic.
- J-integral type Method.
- J-integral type Physic.
- J-integral 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.".
- J-integral label "J-integral".
- J-integral sameAs Q6109458.
- J-integral sameAs J積分.
- J-integral sameAs Całka_J.
- J-integral sameAs m.0bx2yn.
- J-integral sameAs Q6109458.
- J-integral wasDerivedFrom J-integral?oldid=704296475.
- J-integral depiction Integrale-J_2D.png.
- J-integral isPrimaryTopicOf J-integral.