Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity

B. Klusemann; T. Yalçinkaya; M.G.D. Geers; B. Svendsen

Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity

B. Klusemann, T. Yalçinkaya, M.G.D. Geers, B. Svendsen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau- Devonshire potential for self-hardening and an interaction-matrix-based form for latent hardening. The algorithmic formulation and numerical implementation treats the displacement and glide-system slips as the primary field variables. Example numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are compared and correlated features of the macroscopic stress-strain response such as stress relaxation.

Original language	English
Title of host publication	ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Editors	J. Eberhardsteiner
Pages	1005-1015
Number of pages	11
Publication status	Published - 2012
Event	6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria Duration: 10 Sept 2012 → 14 Sept 2012 Conference number: 6 http://eccomas2012.conf.tuwien.ac.at/

Conference

Conference	6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Abbreviated title	ECCOMAS 2012
Country/Territory	Austria
City	Vienna
Period	10/09/12 → 14/09/12
Other	The European Community on Computational Methods in Applied Sciences (ECCOMAS) is happy to anounce the organization of the 6th EUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING (ECCOMAS 2012) to be held at the University of Vienna, Austria, September 10-14, 2012. Congress Venue Please note that the ECCOMAS2012 Congress will take place at the University of Vienna and not at Vienna University of Technology.
Internet address	http://eccomas2012.conf.tuwien.ac.at/

Keywords

Gradient crystal plasticity
Microstructure
Non-convexity
Patterning
Phase field modeling
Viscoplasticity

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Klusemann, B., Yalçinkaya, T., Geers, M. G. D., & Svendsen, B. (2012). Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity. In J. Eberhardsteiner (Ed.), ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 1005-1015) http://www.eccomas.org/spacehome/1/7

Klusemann, B. ; Yalçinkaya, T. ; Geers, M.G.D. et al. / Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. editor / J. Eberhardsteiner. 2012. pp. 1005-1015

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title = "Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity",

abstract = "In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau- Devonshire potential for self-hardening and an interaction-matrix-based form for latent hardening. The algorithmic formulation and numerical implementation treats the displacement and glide-system slips as the primary field variables. Example numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are compared and correlated features of the macroscopic stress-strain response such as stress relaxation.",

keywords = "Gradient crystal plasticity, Microstructure, Non-convexity, Patterning, Phase field modeling, Viscoplasticity",

author = "B. Klusemann and T. Yal{\c c}inkaya and M.G.D. Geers and B. Svendsen",

year = "2012",

language = "English",

isbn = "978-395035370-9",

pages = "1005--1015",

editor = "J. Eberhardsteiner",

booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",

note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",

url = "http://eccomas2012.conf.tuwien.ac.at/",

}

Klusemann, B, Yalçinkaya, T, Geers, MGD & Svendsen, B 2012, Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity. in J Eberhardsteiner (ed.), ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. pp. 1005-1015, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 10/09/12. <http://www.eccomas.org/spacehome/1/7>

Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity. / Klusemann, B.; Yalçinkaya, T.; Geers, M.G.D. et al.
ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. ed. / J. Eberhardsteiner. 2012. p. 1005-1015.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity

AU - Klusemann, B.

AU - Yalçinkaya, T.

AU - Geers, M.G.D.

AU - Svendsen, B.

N1 - Conference code: 6

PY - 2012

Y1 - 2012

N2 - In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau- Devonshire potential for self-hardening and an interaction-matrix-based form for latent hardening. The algorithmic formulation and numerical implementation treats the displacement and glide-system slips as the primary field variables. Example numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are compared and correlated features of the macroscopic stress-strain response such as stress relaxation.

AB - In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau- Devonshire potential for self-hardening and an interaction-matrix-based form for latent hardening. The algorithmic formulation and numerical implementation treats the displacement and glide-system slips as the primary field variables. Example numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are compared and correlated features of the macroscopic stress-strain response such as stress relaxation.

KW - Gradient crystal plasticity

KW - Microstructure

KW - Non-convexity

KW - Patterning

KW - Phase field modeling

KW - Viscoplasticity

UR - http://www.scopus.com/inward/record.url?scp=84871626874&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84871626874

SN - 978-395035370-9

SP - 1005

EP - 1015

BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

A2 - Eberhardsteiner, J.

T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012

Y2 - 10 September 2012 through 14 September 2012

ER -

Modeling and simulation of inelastic microstructure development and inhomogeneous material behavior via non-convex rate dependent gradient plasticity

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