A multi-scale approach to bridge microscale damage and macroscale failure: a nested computational homogenization-localization framework

被引:69
作者
Coenen, E. W. C. [1 ,2 ]
Kouznetsova, V. G. [1 ]
Bosco, E. [3 ]
Geers, M. G. D. [1 ]
机构
[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5612 AZ Eindhoven, Netherlands
[2] M2i, NL-2600 GA Delft, Netherlands
[3] Univ Brescia, Fac Engn, Dept Math, I-25133 Brescia, Italy
关键词
Multi-scale modelling; Computational homogenization; Strain localization; Damage and failure; Cohesive crack; Microstructural volume element; STRONG DISCONTINUITIES; FINITE-ELEMENTS; MODEL; BEHAVIOR; SIMULATION; PLASTICITY;
D O I
10.1007/s10704-012-9765-4
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a multi-scale modelling approach for bridging the microscale damage and macroscale failure. The proposed scheme evolves from a classical computational homogenization scheme (FE2) towards a discontinuity enriched framework. The classical homogenization approaches typically rely on the separation of scales principle, which is violated as soon as a strain localization band develops within a microstructural volume element (MVE). The newly developed scheme resolves this limitation by considering the bifurcation of the microscale deformation into a continuum 'bulk' part and a localization related part. The most distinct feature of the proposed framework is that both, the local macroscale traction-opening response of the cohesive crack and the stress-strain response of the surrounding 'bulk', are obtained from a single MVE analysis. The discontinuity enriched macroscale description is formulated to accommodate for the micro-macro coupling. The macroscale boundary value problem and the corresponding implementation are detailed for the use within the embedded discontinuities approach. The presented multi-scale method is demonstrated on a numerical example of a cohesive crack propagation in a macroscopic double notch specimen, with underlying voided microstructure.
引用
收藏
页码:157 / 178
页数:22
相关论文
共 55 条
[1]   An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids [J].
Armero, F ;
Garikipati, K .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (20-22) :2863-2885
[2]  
Belytschko T, 2001, INT J NUMER METH ENG, V50, P993, DOI 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO
[3]  
2-M
[4]   Multiscale aggregating discontinuities: A method for circumventing loss of material stability [J].
Belytschko, Ted ;
Loehnert, Stefan ;
Song, Jeong-Hoon .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 73 (06) :869-894
[5]   Crack propagation modelling using an advanced remeshing technique [J].
Bouchard, PO ;
Bay, F ;
Chastel, Y ;
Tovena, I .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 189 (03) :723-742
[6]   Multi-scale continuous-discontinuous framework for computational-homogenization-localization [J].
Coenen, E. W. C. ;
Kouznetsova, V. G. ;
Geers, M. G. D. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2012, 60 (08) :1486-1507
[7]   Novel boundary conditions for strain localization analyses in microstructural volume elements [J].
Coenen, E. W. C. ;
Kouznetsova, V. G. ;
Geers, M. G. D. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 90 (01) :1-21
[8]   Enabling microstructure-based damage and localization analyses and upscaling [J].
Coenen, E. W. C. ;
Kouznetsova, V. G. ;
Geers, M. G. D. .
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2011, 19 (07)
[10]   FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials [J].
Feyel, F ;
Chaboche, JL .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 183 (3-4) :309-330