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Micromechanical Simulation of the Hall‐Petch Effect with a Crystal Gradient Theory including a Grain Boundary Yield Criterion
Author(s) -
Wulfinghoff Stephan,
Bayerschen Eric,
Böhlke Thomas
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310005
Subject(s) - grain boundary strengthening , materials science , grain boundary , yield (engineering) , crystal plasticity , viscoplasticity , finite element method , grain size , slip (aerodynamics) , plasticity , ultimate tensile strength , composite material , mechanics , condensed matter physics , thermodynamics , constitutive equation , physics , microstructure
A viscoplastic strain gradient crystal plasticity theory based on the gradient of the equivalent plastic strain ∇γ eq is proposed. A grain boundary yield condition is introduced. The microstructural explanation of the Hall‐Petch effect, accounting for notch‐like stress concentrations at the grain boundary as a result of discrete slip bands, is reviewed. Periodic tensile test FEM simulation results illustrate the prediction of the numerical model. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)