Journal of Applied Mechanics · 1973 · 714 citations · 0 references
Natural SciencesMechanical EngineeringPhysicsApplied MechanicsMechanical Behavior Of MaterialsSolid MechanicsElasticity TheoryFracture MechanicsIntegral EquationsPlastic DeformationPlasticityStress ReleaseConservation LawsCrack PropagationElasticityEnergy ReleaseEnergy Release RateLinear Elastic Fracture MechanicsPlastic Stress AnalysisPlastic Stress-strain Relationship
New path-independent integrals recently discovered by Knowles and Sternberg are related to energy-release rates associated with cavity or crack rotation and expansion. Complex-variable forms are presented for the conservation laws in the cases of linear, isotropic, plane elasticity. A special point concerning plastic stress distributions around cracks is discussed briefly.