Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
Multiscale Total Lagrangian Formulation for Modeling Dislocation-Induced Plastic Deformation in Polycrystalline Materials
SINOPSIS
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.
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To Albert C., Liu Wing Kam, Olson Gregory B., Belytschko Ted, Chen Wei, Shephard Mark S., Chung Yip-Wah, Ghanem Roger, Voorhees Peter W., Seidman David N., Wolverton Chris, Chen J. S., Moran Brian, Freeman Arthur J., Tian Rong, Luo Xiaojuan, Lautenschlager Eric, Challoner A. Dorian, Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system, Computational Mechanics, 42, 4, 2008. Crossref
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Wang Dongdong, Fang Lingming, A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures, Interaction and multiscale mechanics, 3, 3, 2010. Crossref