Modeling elastoviscoplasticity in a consistent phase field framework
Abstract
Existing continuum level phase field plasticity theories seek to solve plastic strain by minimizing the shear strain energy. However, rigorously speaking, for thermodynamic consistency it is required to minimize the total strain energy unless there is proof that hydrostatic strain energy is independent of plastic strain which is unfortunately absent. In this work, we extend the phasefield microelasticity theory of Khachaturyan et al. by minimizing the total elastic energy with constraint of incompressibility of plastic strain. We show that the flow rules derived from the GinzburgLandau type kinetic equation can be in line with Odqvist's law for viscoplasticity and PrandtlReuss theory. Free surfaces (external surfaces or internal cracks/voids) are treated in the model. Deformation caused by a misfitting spherical precipitate in an elastoplastic matrix is studied by largescale threedimensional simulations in four different regimes in terms of the matrix: (a) elastoperfectlyplastic, (b) elastoplastic with linear hardening, (c) elastoplastic with powerlaw hardening, and (d) elastoperfectlyplastic with a free surface. The results are compared with analytical/numerical solutions of Lee et al. for (ac) and analytical solution derived in this work for (d). Additionally, the J integral of a fixed crack is calculated in the phasefield model and discussed in the context ofmore »
 Authors:

 National Energy Technology Lab. (NETL), Albany, OR (United States); AECOM, Albany, OR (United States)
 National Energy Technology Lab. (NETL), Albany, OR (United States)
 Publication Date:
 Research Org.:
 National Energy Technology Lab. (NETL), Albany, OR (United States)
 Sponsoring Org.:
 USDOE Office of Fossil Energy (FE)
 OSTI Identifier:
 1415563
 Report Number(s):
 ACONTRPUB055
Journal ID: ISSN 07496419; PII: S0749641916301954
 Grant/Contract Number:
 ACI1053575
 Resource Type:
 Accepted Manuscript
 Journal Name:
 International Journal of Plasticity
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: C; Journal ID: ISSN 07496419
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Phase field method; Voids, cracks and inclusions; Elasticviscoplastic material; Analytic functions; Variational calculus
Citation Formats
Cheng, Tian Le, Wen, You Hai, and Hawk, Jeffrey A. Modeling elastoviscoplasticity in a consistent phase field framework. United States: N. p., 2017.
Web. doi:10.1016/j.ijplas.2017.05.006.
Cheng, Tian Le, Wen, You Hai, & Hawk, Jeffrey A. Modeling elastoviscoplasticity in a consistent phase field framework. United States. doi:10.1016/j.ijplas.2017.05.006.
Cheng, Tian Le, Wen, You Hai, and Hawk, Jeffrey A. Fri .
"Modeling elastoviscoplasticity in a consistent phase field framework". United States. doi:10.1016/j.ijplas.2017.05.006. https://www.osti.gov/servlets/purl/1415563.
@article{osti_1415563,
title = {Modeling elastoviscoplasticity in a consistent phase field framework},
author = {Cheng, Tian Le and Wen, You Hai and Hawk, Jeffrey A.},
abstractNote = {Existing continuum level phase field plasticity theories seek to solve plastic strain by minimizing the shear strain energy. However, rigorously speaking, for thermodynamic consistency it is required to minimize the total strain energy unless there is proof that hydrostatic strain energy is independent of plastic strain which is unfortunately absent. In this work, we extend the phasefield microelasticity theory of Khachaturyan et al. by minimizing the total elastic energy with constraint of incompressibility of plastic strain. We show that the flow rules derived from the GinzburgLandau type kinetic equation can be in line with Odqvist's law for viscoplasticity and PrandtlReuss theory. Free surfaces (external surfaces or internal cracks/voids) are treated in the model. Deformation caused by a misfitting spherical precipitate in an elastoplastic matrix is studied by largescale threedimensional simulations in four different regimes in terms of the matrix: (a) elastoperfectlyplastic, (b) elastoplastic with linear hardening, (c) elastoplastic with powerlaw hardening, and (d) elastoperfectlyplastic with a free surface. The results are compared with analytical/numerical solutions of Lee et al. for (ac) and analytical solution derived in this work for (d). Additionally, the J integral of a fixed crack is calculated in the phasefield model and discussed in the context of fracture mechanics.},
doi = {10.1016/j.ijplas.2017.05.006},
journal = {International Journal of Plasticity},
number = C,
volume = 96,
place = {United States},
year = {2017},
month = {5}
}
Web of Science