A finite-deformation dislocation density-based crystal viscoplasticity constitutive model for calculating the stored deformation energy. (August 2017)

• Record Type: Journal Article
• Authors: Jafari, M.; Jamshidian, M.; Ziaei-Rad, S.
• Is Part Of: International journal of mechanical sciences. Volume 128/129(2017)
• Page Start: 486
• Page End: 498
• Publication Date: 2017-08
• Subjects: Constitutive equation -- Stored deformation energy -- Dislocation density -- Crystal viscoplasticity -- Finite elements,; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2017.05.016
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: Development of a thermodynamically-consistent finite deformation and dislocation density-based crystal viscoplasticity theory Numerical implementation into the Abaqus/Standard finite element package via writing a user material subroutine UMAT Estimating stored energy distribution and driving forces for strain induced grain boundary migration in aluminum polycrystals Our statistical analysis shows that strain induced grain boundary migration occurs in a few predictable specific regions Graphical abstract: Abstract: A previously-developed infinitesimal strain and dislocation density based crystal viscoplasticity constitutive theory is reformulated in the finite deformation regime in a thermodynamically consistent manner. The constitutive equations are then numerically implemented into the Abaqus/Standard finite element package. The constitutive model is primarily verified and calibrated with respect to single crystal aluminum experiments and then the distribution of stored deformation energy in aluminum bicrystals and polycrystals is investigated to estimate the driving forces for grain boundary migration due to the stored energy difference across grain boundary. Our statistical analysis shows that the onset of strain induced grain boundary migration in a polycrystalline microstructure is basically dependent on the spatial distribution of the stored deformation energy rather than the overall stored deformation energy value; and it preferably occurs in a few predictable specific regions where certain grain orientations meet at a grain boundary across which high values of stored energy difference happens.