Skip to Main content Skip to Navigation
Journal articles

Gradient damage analysis of a cylinder under torsion: Bifurcation and size effects

Abstract : In this work, an elastic-damage evolution analysis is carried out for a cylinder under torsion made of a material obeying a gradient damage model with softening. Both semi-analytical and asymptotic approaches are developed to analyze the elastic, axisymmetric and bifurcation stages. we show the existence of a fundamental branch where the damage field is asymmetric and localized within a finite thickness from the boundary. By minimizing a generalized Rayleigh quotient, the bifurcation time and modes are obtained as a function of the length scale ε = ℓ / R involving a material internal length and the cylinder radius. We will then focus on these size effects by assuming that is a small parameter in an asymptotic setting. After justification, specific spatial and temporal rescaled variables are introduced for the boundary layer problem. It is shown that the axisymmetric damage evolution and the bifurcation are governed by two universal functions independent of the length scale. The simulation results obtained by the semi-analytical approach are formally justified by the asymptotic methods.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03103019
Contributor : Tianyi Li Connect in order to contact the contributor
Submitted on : Monday, February 8, 2021 - 10:58:35 PM
Last modification on : Wednesday, May 19, 2021 - 2:26:03 PM

File

Li-Abdelmoula2021_Article_Grad...
Publication funded by an institution

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Tianyi Li, Radhi Abdelmoula. Gradient damage analysis of a cylinder under torsion: Bifurcation and size effects. Journal of Elasticity, Springer Verlag, In press, ⟨10.1007/s10659-021-09815-x⟩. ⟨hal-03103019v2⟩

Share

Metrics

Record views

93

Files downloads

69