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Computational analysis of martensitic thin films using subdivision surfaces

Dondl, Patrick W. and Shen, Ching-Ping and Bhattacharya, Kaushik (2007) Computational analysis of martensitic thin films using subdivision surfaces. International Journal for Numerical Methods in Engineering, 72 (1). pp. 72-94. ISSN 0029-5981. https://resolver.caltech.edu/CaltechAUTHORS:20131008-085924006

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Abstract

This paper studies numerically the deformation of thin films made of materials undergoing martensitic phase transformations by using subdivision surfaces. These thin films have received interest as potential microactuators, and specifically a tent-like configuration has recently been proposed. In order to model martensitic materials we use a multi-well strain energy combined with an interfacial energy penalizing strain gradients. The study of such configurations requires adequate resolution of inhomogeneous in-plane stretch, out-of-plane deformation and transition regions across which the deformation gradient changes sharply. This paper demonstrates that subdivision surfaces provide an attractive tool in the numerical study of such configurations, and also provides insights into the tent-like deformations.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1002/nme.2005 DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/nme.2005/abstractPublisherArticle
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2007 John Wiley & Sons, Ltd. Received 30 June 2006; Revised 21 November 2006; Accepted 3 January 2007. Contract/grant sponsor: US National Science Foundation; contract/grant number: DMS-0311788. We are delighted to acknowledge many useful discussions with Peter Schröder, Eitan Grinspun and Fehmi Cirak, and the partial financial support of the US National Science Foundation through grant number DMS-0311788.
Funders:
Funding AgencyGrant Number
NSFDMS-0311788
Subject Keywords:MEMS; shape-memory alloys; martensites; FEM; subdivision surfaces
Issue or Number:1
Record Number:CaltechAUTHORS:20131008-085924006
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131008-085924006
Official Citation:Dondl, P. W., Shen, C.-P. and Bhattacharya, K. (2007), Computational analysis of martensitic thin films using subdivision surfaces. Int. J. Numer. Meth. Engng., 72: 72–94. doi: 10.1002/nme.2005
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41731
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Oct 2013 22:43
Last Modified:03 Oct 2019 05:51

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