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Numerical simulation of martensitic transformations in two- and three-dimensional polycrystals

Bruno, Oscar P. and Goldsztein, Guillermo H. (2000) Numerical simulation of martensitic transformations in two- and three-dimensional polycrystals. Journal of the Mechanics and Physics of Solids, 48 (6-7). pp. 1175-1201. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20181102-135535088

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Abstract

We introduce a fast numerical method for the evaluation of the effective elastic energy in martensitic polycrystals in two and three dimensions. The overall complexity of the method is O(N) operations, where N is the number of component crystallites. Upper and lower bounds on the energy are also presented which allow us to estimate the accuracy of the numerical results. Our new three-dimensional computations and bounds for random polycrystals, which are the first ones available in the literature, provide substantial insights on the behavior of polycrystalline martensites. They suggest that recoverable strains can be much larger than those attainable with zero energy.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/s0022-5096(99)00074-5DOIArticle
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2000 Elsevier. Received 19 January 1999, Revised 16 July 1999, Available online 6 April 2000. The authors gratefully acknowledge support from the NSF through Contract No. DMS-9523292. OB gratefully acknowledges support from NSF (through an NYI award and through Contracts DMS-9816802), from the AFOSR (through contracts No. F49620-96-1-0008 and F49620-99-1-0010) and from the Powell Research Foundation. Effort sponsored by the Air Force Office of Scientific Research, Air Force Materials Command, USAF, under grants number F49620-96-1-0008 and F49620-99-1-0010. The US Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the US Government.
Funders:
Funding AgencyGrant Number
NSFDMS-9523292
NSFDMS-9816802
Air Force Office of Scientific Research (AFOSR)F49620-96-1-0008
Air Force Office of Scientific Research (AFOSR)F49620-99-1-0010
Charles Lee Powell FoundationUNSPECIFIED
Subject Keywords:Polycrystal; Martensite; Phase transitions; Homogenization; Plasticity
Record Number:CaltechAUTHORS:20181102-135535088
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181102-135535088
Official Citation:Oscar P. Bruno, Guillermo H. Goldsztein, Numerical simulation of martensitic transformations in two- and three-dimensional polycrystals, Journal of the Mechanics and Physics of Solids, Volume 48, Issues 6–7, 2000, Pages 1175-1201, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(99)00074-5. (http://www.sciencedirect.com/science/article/pii/S0022509699000745)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90618
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:02 Nov 2018 21:11
Last Modified:02 Nov 2018 21:11

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