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Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior

Klusemann, Benjamin and Yalçinkaya, Tuncay and Geers, M. G. D. and Svendsen, Bob (2013) Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior. Computational Materials Science, 80 . pp. 51-60. ISSN 0927-0256. doi:10.1016/j.commatsci.2013.04.016. https://resolver.caltech.edu/CaltechAUTHORS:20131025-104217957

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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 two interaction-matrix-based forms for latent hardening. The algorithmic formulation and the numerical implementation treats the displacement and the glide-system slips as the primary field variables. The 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 illustrated together with the macroscopic stress–strain responses.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.commatsci.2013.04.016DOIArticle
http://www.sciencedirect.com/science/article/pii/S092702561300178XPublisherArticle
Additional Information:© 2013 Elsevier B.V. Received 2 November 2012; Received in revised form 31 March 2013; Accepted 2 April 2013; Available online 17 May 2013. B.K. and B.S. gratefully acknowledge the financial support of the German National Science Foundation (DFG) in the framework of the Collaborative Research Center (SFB) 761.
Funders:
Funding AgencyGrant Number
German National Science Foundation (DFG) Collaborative Research Center (SFB)761
Subject Keywords:Non-convexity; Gradient crystal plasticity; Microstructure; Viscoplasticity; Self-/latent hardening
DOI:10.1016/j.commatsci.2013.04.016
Record Number:CaltechAUTHORS:20131025-104217957
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131025-104217957
Official Citation:Benjamin Klusemann, Tuncay Yalçinkaya, M.G.D. Geers, Bob Svendsen, Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior, Computational Materials Science, Volume 80, December 2013, Pages 51-60, ISSN 0927-0256, http://dx.doi.org/10.1016/j.commatsci.2013.04.016. (http://www.sciencedirect.com/science/article/pii/S092702561300178X)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42066
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:29 Oct 2013 18:35
Last Modified:10 Nov 2021 04:37

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