A comparison of Gurtin type and micropolar theories of generalized single crystal plasticity

J. R. Mayeur; D. L. McDowell

doi:10.1016/j.ijplas.2014.01.010

A comparison of Gurtin type and micropolar theories of generalized single crystal plasticity

J. R. Mayeur, D. L. McDowell

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

We compare and contrast the governing equations and numerical predictions of two higher-order theories of extended single crystal plasticity, specifically, Gurtin type and micropolar models. The models are presented within a continuum thermodynamic setting, which facilitates identification of equivalent terms and the roles they play in the respective models. Finite element simulations of constrained thin films are used to elucidate the various scale-dependent strengthening mechanisms and their effect of material response. Our analysis shows that the two theories contain many analogous features and qualitatively predict the same trends in mechanical behavior, although they have substantially different points of departure. This is significant since the micropolar theory affords a simpler numerical implementation that is less computationally expensive and potentially more stable.

Original language	English
Pages (from-to)	29-51
Number of pages	23
Journal	International Journal of Plasticity
Volume	57
DOIs	https://doi.org/10.1016/j.ijplas.2014.01.010
State	Published - Jun 2014
Externally published	Yes

Funding

JRM acknowledges the support of Los Alamos National Laboratory, operated by Los Alamos National Security LLC under DOE Contract DE-AC52-06NA25936. This work also benefited from the support of Sandia National Laboratories through the Enabling Predictive Simulation Research Institute (EPSRI), and the Laboratory Directed Research and Development program. Sandia is a multiprogram laboratory operated by the Sandia Corporation, a Lockheed Martin Company, for the U.S. Department of Energy’s National Nuclear Security Administration under DOE contract DE-AC04-94AL85000. DLM would like to acknowledge support of the Carter N. Paden, Jr. Distinguished Chair in Metals Processing, as well as NSF grant CMMI-1030103 on Methods for Atomistic Input into Initial Yield and Plastic Flow Criteria for Nanocrystalline Metals.

Keywords

A. Geometrically necessary dislocations
A. Gradient plasticity
B. Crystal plasticity
B. Microforce balance
C. Finite elements

Access to Document

10.1016/j.ijplas.2014.01.010

Cite this

@article{449eb069c78647dd90f75b1c98c0b4d2,

title = "A comparison of Gurtin type and micropolar theories of generalized single crystal plasticity",

abstract = "We compare and contrast the governing equations and numerical predictions of two higher-order theories of extended single crystal plasticity, specifically, Gurtin type and micropolar models. The models are presented within a continuum thermodynamic setting, which facilitates identification of equivalent terms and the roles they play in the respective models. Finite element simulations of constrained thin films are used to elucidate the various scale-dependent strengthening mechanisms and their effect of material response. Our analysis shows that the two theories contain many analogous features and qualitatively predict the same trends in mechanical behavior, although they have substantially different points of departure. This is significant since the micropolar theory affords a simpler numerical implementation that is less computationally expensive and potentially more stable.",

keywords = "A. Geometrically necessary dislocations, A. Gradient plasticity, B. Crystal plasticity, B. Microforce balance, C. Finite elements",

author = "Mayeur, {J. R.} and McDowell, {D. L.}",

year = "2014",

month = jun,

doi = "10.1016/j.ijplas.2014.01.010",

language = "English",

volume = "57",

pages = "29--51",

journal = "International Journal of Plasticity",

issn = "0749-6419",

publisher = "Elsevier",

}

TY - JOUR

T1 - A comparison of Gurtin type and micropolar theories of generalized single crystal plasticity

AU - Mayeur, J. R.

AU - McDowell, D. L.

PY - 2014/6

Y1 - 2014/6

N2 - We compare and contrast the governing equations and numerical predictions of two higher-order theories of extended single crystal plasticity, specifically, Gurtin type and micropolar models. The models are presented within a continuum thermodynamic setting, which facilitates identification of equivalent terms and the roles they play in the respective models. Finite element simulations of constrained thin films are used to elucidate the various scale-dependent strengthening mechanisms and their effect of material response. Our analysis shows that the two theories contain many analogous features and qualitatively predict the same trends in mechanical behavior, although they have substantially different points of departure. This is significant since the micropolar theory affords a simpler numerical implementation that is less computationally expensive and potentially more stable.

AB - We compare and contrast the governing equations and numerical predictions of two higher-order theories of extended single crystal plasticity, specifically, Gurtin type and micropolar models. The models are presented within a continuum thermodynamic setting, which facilitates identification of equivalent terms and the roles they play in the respective models. Finite element simulations of constrained thin films are used to elucidate the various scale-dependent strengthening mechanisms and their effect of material response. Our analysis shows that the two theories contain many analogous features and qualitatively predict the same trends in mechanical behavior, although they have substantially different points of departure. This is significant since the micropolar theory affords a simpler numerical implementation that is less computationally expensive and potentially more stable.

KW - A. Geometrically necessary dislocations

KW - A. Gradient plasticity

KW - B. Crystal plasticity

KW - B. Microforce balance

KW - C. Finite elements

UR - http://www.scopus.com/inward/record.url?scp=84896477870&partnerID=8YFLogxK

U2 - 10.1016/j.ijplas.2014.01.010

DO - 10.1016/j.ijplas.2014.01.010

M3 - Article

AN - SCOPUS:84896477870

SN - 0749-6419

VL - 57

SP - 29

EP - 51

JO - International Journal of Plasticity

JF - International Journal of Plasticity

ER -

A comparison of Gurtin type and micropolar theories of generalized single crystal plasticity

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this