Multiscale modeling of polycrystalline materials: a boundary element approach to material degradation and fracture
File(s)MultiscaleManuscriptDraft.pdf (16.98 MB)
Accepted version
Author(s)
Benedetti, I
Aliabadi, MH
Type
Journal Article
Abstract
In this work, a two-scale approach to degradation and failure in polycrystalline materials is proposed. The formulation involves the engineering component level (macro-scale) and the material grain level (micro-scale). The macro-continuum is modeled using a three-dimensional boundary element formulation in which the presence of damage is formulated through an initial stress approach to account for the local softening in the neighborhood of points experiencing degradation at the micro-scale. The microscopic degradation is explicitly modeled by associating Representative Volume Elements (RVEs) to relevant points of the macro continuum, for representing the polycrystalline microstructure in the neighborhood of the selected points. A three-dimensional grain-boundary formulation is used to simulate intergranular degradation and failure in the microstructure, whose morphology is generated using the Voronoi tessellations. Intergranular degradation and failure are modeled through cohesive and frictional contact laws. To couple the two scales, macro-strains are transferred to the RVEs as periodic boundary conditions, while overall macro-stresses are obtained as volume averages of the micro-stress field. The comparison between effective macro-stresses for the damaged and undamaged RVE allows to define a macroscopic measure of material degradation. To avoid pathological damage localization at the macro-scale, integral non-local counterparts of the strains are employed. A multiscale processing algorithm is described. Two multiscale simulations are performed to demonstrate the capability of the method.
Date Issued
2015-06-01
Date Acceptance
2015-02-16
Citation
Computer Methods in Applied Mechanics and Engineering, 2015, 289 (1), pp.429-453
ISSN
0045-7825
Publisher
Elsevier
Start Page
429
End Page
453
Journal / Book Title
Computer Methods in Applied Mechanics and Engineering
Volume
289
Issue
1
Copyright Statement
© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Commission of the European Communities
Identifier
https://www.sciencedirect.com/science/article/pii/S0045782515000675
Grant Number
PIEF-GA-2010-274161
Subjects
Science & Technology
Technology
Physical Sciences
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Mechanics
Engineering
Mathematics
Polycrystalline materials
Damage and fracture
Multiscale formulations
Micromechanics
Boundary element method
REPRESENTATIVE VOLUME ELEMENT
AUSTENITIC STAINLESS-STEEL
STRESS-CORROSION CRACKING
SHORT FATIGUE-CRACK
HOMOGENIZATION
PLASTICITY
FAILURE
MICROSTRUCTURE
NANOMECHANICS
DIFFRACTION
Publication Status
Published
Date Publish Online
2015-02-23