Damage localization and rupture with gradient damage models
Journal Title: Frattura ed Integrità Strutturale - Year 2012, Vol 6, Issue 19
Abstract
We propose a method of construction of non homogeneous solutions to the problem of traction of a bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model. We show that, for sufficiently long bars, localization arises on sets whose length is proportional to the material internal length and with a profile which is also characteristic of the material. The rupture of the bar occurs at the center of the localization zone when the damage reaches there the critical value corresponding to the loss of rigidity of the material. The dissipated energy during all the damage process up to rupture is a quantity which can be expressed in terms of the material parameters. Accordingly, can be considered as the usual surface energy density appearing in the Griffith theory of brittle fracture. All these theoretical considerations are illustrated by numerical examples.
Authors and Affiliations
K. Pham, J. -J. J. -J. Marigo
3D thickness effects around notch and crack tip stress/strain fields
Notches and cracks are usually approximately modeled as two-dimensional problems using solutions from plane elasticity to quantify localized stress/strain concentration effects around their tips. However, they may...
Multiaxial fatigue of in-service aluminium longerons for helicopter rotor-blades
Fatigue cracking of longerons manufactured from Al-alloy AVT-1 for helicopter in-service rotorblades was considered and crack growth period and equivalent of tensile stress for different blade sections were e...
Effect of Carbon and Nitrogen Content on Deformation and Fracture of AISI 304 Austenitic Stainless Steel
The effect of small differences in the content of carbon and nitrogen on the room temperature tensile deformation and fracture behaviour of an AISI 304 stainless steel was studied. In the steel containing the lower...
Deformation and fatigue behaviors of carburized automotive gear steel and predictions
The fatigue behavior of carburized components such as automotive transmission gears is very complex due to hardness and microstructure difference, residual stresses and multi-axial stress states developed bet...
Influence of boundary conditions on the response ofmultilayered plates with cohesive interfaces anddelaminations using a homogenized approach
Stress and displacement fields in multilayered composites with interfacial imperfections, such asimperfect bonding of the layers or delaminations, or where the plies are separated by thin interlayers allowingrelati...