Investigation on Intragranular Stress of Mg Including Several Twin-Bands Using Dislocation-Based Crystal Plasticity and Phase-Field Models

Ruho Kondo; Yuichi Tadano; Kazuyuki Shizawa

doi:10.4028/www.scientific.net/KEM.626.246

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Effect of Plastic Anisotropy on the Strain Rate Intensity Factor: A Simple Analytic Solution
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Investigation on Intragranular Stress of Mg Including Several Twin-Bands Using Dislocation-Based Crystal Plasticity and Phase-Field Models
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Study for Sheared Edge Quality of High Strength Steel Sheet
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Dynamic Behaviors of Aluminium Foam Analyzed Using Digital Image Processing Technology
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Crystal Plasticity Analysis of Mechanical Response and Size Effect in Two Phase Alloys with Dispersion of Fine Particles
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Experimental Investigation and FEM Simulation on Material Behaviors of Cylinder with the Rotating Flat Die
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Investigation on Intragranular Stress of Mg Including Several Twin-Bands Using Dislocation-Based Crystal Plasticity and Phase-Field Models

Abstract:

A coupled model based on crystal plasticity and phase field theories that express both plastic anisotropy of HCP metals and expansion/shrinkage of twin-bands is proposed in the present study. In this model, the difference of the hardening rate in each slip system is expressed by changing their dislocation mobility as a numerical parameter defined in the crystal plasticity framework. The stress calculated via crystal plasticity analysis becomes to the driving force of multi-phase filed equations that express the evolution of twin bands of several variants, which include both the growth and shrinkage. Solving this equation set, the rate of twinning/detwinning and the mirror-transformed crystal basis in the twinned/detwinned phase are obtained and then, crystal plasticity analysis is carried out again. Using the present model, a uniaxial cyclic loading simulation along [0001] direction on the specimen including two variants of twin-bands is carried out by means of finite element method (FEM). The results show that the detwinning stress decreases with increase of the pre-tensioned strain. This is caused by a residual compression stress resulting from the twin shearing that occurs in the vicinity of two twin boundaries approaching each other.