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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 "17355".
- J_integral wikiPageOutDegree "65".
- J_integral wikiPageRevisionID "653432531".
- 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 Constitutive_law.
- J_integral wikiPageWikiLink Contour_integral.
- J_integral wikiPageWikiLink Displacement_(vector).
- 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_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 Mathematical_singularity.
- J_integral wikiPageWikiLink Methods_of_contour_integration.
- J_integral wikiPageWikiLink Path_dependence.
- J_integral wikiPageWikiLink Path_independence.
- J_integral wikiPageWikiLink Plane_strain.
- 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.
- 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_(physics).
- J_integral wikiPageWikiLink Stress_intensity_factor.
- J_integral wikiPageWikiLink Surface_traction.
- 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 wikiPageWikiLinkText "J-integral".
- J_integral hasPhotoCollection 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 Całka_J.
- J_integral sameAs m.0bx2yn.
- J_integral sameAs Q6109458.
- J_integral sameAs Q6109458.
- J_integral wasDerivedFrom J_integral?oldid=653432531.
- J_integral depiction Integrale-J_2D.png.
- J_integral isPrimaryTopicOf J_integral.