Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i1.40
pages 29-46

Multiscale Total Lagrangian Formulation for Modeling Dislocation-Induced Plastic Deformation in Polycrystalline Materials

Xinwei Zhang
Civil & Environmental Engineering Department, University of California, Los Angeles (UCLA), 5731G Boelter Hall, Los Angeles, CA 90095, USA
Shafigh Mehraeen
Civil & Environmental Engineering Department, University of California, Los Angeles (UCLA), 5731G Boelter Hall, Los Angeles, CA 90095, USA
Jiun-Shyan Chen
Civil & Environmental Engineering Department, University of California, Los Angeles (UCLA), 5731G Boelter Hall, Los Angeles, CA 90095, USA
Nasr M. Ghoniem
Mechanical and Aerospace Engineering, University of California, Los Angeles, Los Angeles, CA 90095, USA

ABSTRAKT

Multiscale mathematical and computational formulation for coupling mesoscale dislocation mechanics and macroscale continuum mechanics for prediction of plastic deformation in polycrystalline materials is presented. In this development a total Lagrangian multiscale variational formulation for materials subjected to geometric and material nonlinearities is first introduced. By performing scale decomposition of kinematic variables and the corresponding dislocation kinematic variables, several leading-order equations, including a scale-coupling equation, a mesoscale dislocation evolution equation, and a homogenized macroscale equilibrium equation, are obtained. By further employing the Orowan relation, a mesoscopic plastic strain is obtained from dislocation velocity and its distribution, and a homogenized elastoplastic stress-strain relation for macroscale is constructed. The macroscale, mesoscale, and scale-coupling equations are solved interactively at each macroscopic load increment, and information on the two scales is passed through the macroscale integration points. In this multiscale approach the phenomenological hardening rule and flow rule in the classical plasticity theory are avoided, and they are replaced by a homogenized mesoscale material response characterized by dislocation evolution and their interactions.


Articles with similar content:

COMPUTATIONAL HOMOGENIZATION METHOD AND REDUCED DATABASE MODEL FOR HYPERELASTIC HETEROGENEOUS STRUCTURES
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 3
Julien Yvonnet, Qi-Chang He, Eric Monteiro
Size of a Representative Volume Element in a Second-Order Computational Homogenization Framework
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
Marc Geers, W. A. M. Brekelmans, Varvara G. Kouznetsova
MODEL OF ANISOTROPIC ELASTOPLASTICITY IN FINITE DEFORMATIONS ALLOWING FOR THE EVOLUTION OF THE SYMMETRY GROUP
Nanoscience and Technology: An International Journal, Vol.6, 2015, issue 2
Mario Fagone, Massimo Cuomo
MULTISCALE IDENTIFICATION OF THE RANDOM ELASTICITY FIELD AT MESOSCALE OF A HETEROGENEOUS MICROSTRUCTURE USING MULTISCALE EXPERIMENTAL OBSERVATIONS
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 4
H. Gharbi, Christophe Desceliers, M. T. Nguyen, J. M. Allain, Christian Soize
Microstructure-Based Multiscale Constitutive Modeling of γ — γ′ Nickel-Base Superalloys
International Journal for Multiscale Computational Engineering, Vol.4, 2006, issue 5-6
David L. McDowell, A.-J. Wang, M. M. Shenoy, R. S. Kumar