Construction and justification of Paris-like fatigue laws from Dugdale-type cohesive models
Abstract
We propose a construction of fatigue laws from cohesive forces models in the case of a crack submitted to a mode I cyclic loading. Taking the cumulated opening as the memory variable and the surface energy density associated with Dugdale's model, we explicitly construct the fatigue law which gives the crack growth rate by cycle d'/dN in terms of the stress intensity factor KI. In particular, we recover a Paris law with an exponent 4, i.e., d'/dN = CKI 4, when KI is small, the coefficient C being explicitly expressed in terms of the material parameters. Furthermore, the law can be applied in the full range of values of KI and can be extended to non simple cycles.
Domains
Materials and structures in mechanics [physics.class-ph] Materials and structures in mechanics [physics.class-ph] Mechanics of materials [physics.class-ph] Mechanics of materials [physics.class-ph] Solid mechanics [physics.class-ph] Solid mechanics [physics.class-ph] Structural mechanics [physics.class-ph] Structural mechanics [physics.class-ph]| Origin | Publisher files allowed on an open archive |
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