Construction and justification of Paris-like fatigue laws from Dugdale-type cohesive modelsReport as inadecuate




Construction and justification of Paris-like fatigue laws from Dugdale-type cohesive models - Download this document for free, or read online. Document in PDF available to download.

1 PMTM - Propriétés mécaniques et thermodynamiques des matériaux 2 LMS - Laboratoire de mécanique des solides 3 M3 - Modélisation Mathématique en Mécanique LMGC - Laboratoire de Mécanique et Génie Civil : UMR 5508

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.

Keywords : Fatigue Fracture mechanics Cohesive force Cyclic loading Variational approach Complex analysis





Author: Radhi Abdelmoula - Jean-Jacques Marigo - Thibaut Weller -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents