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A class of variational strain-localization finite elements

Yang, Q. and Mota, A. and Ortiz, M. (2005) A class of variational strain-localization finite elements. International Journal for Numerical Methods in Engineering, 62 (8). pp. 1013-1037. ISSN 0029-5981. https://resolver.caltech.edu/CaltechAUTHORS:20171128-113115594

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Abstract

We present a class of finite elements for capturing sub-grid localization processes such as shear bands and void sheets. The elements take the form of a double surface and deform in accordance with an arbitrary constitutive law. In particular they allow for the development of displacement and velocity jumps across volume element boundaries. The thickness of the localized zone is set by an additional field variable which is determined variationally. The localization elements are inserted, and become active, only when localized deformations become energetically favourable. The implementation presented in this work is three-dimensional and allows for finite deformations. The versatility and predictive ability of the method are demonstrated through a simple shear test and the simulation of the dynamic impact of a pre-notched C300 steel sample by a steel projectile.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1002/nme.1199DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/nme.1199/abstractPublisherArticle
ORCID:
AuthorORCID
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2004 John Wiley & Sons. Received 6 February 2004. Revised 3 June 2004. Accepted 6 July 2004. Published online 15 November 2004. MO and AM gratefully acknowledge the support of the Department of Energy through Caltech’s ASCI/ASAP Center for Simulating the Dynamic Response of Materials. We are also grateful for support provided by Caltech’s NSF/MRSEC Center for the Science and Engineering of Materials, and DARPA’s Structural Amorphous Metals program through Caltech’s Center for Structural Amorphous Metals.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
NSFUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Subject Keywords:strain localization; finite deformation; finite elements; adiabatic shear banding; variational update
Issue or Number:8
Record Number:CaltechAUTHORS:20171128-113115594
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171128-113115594
Official Citation:Yang, Q., Mota, A. and Ortiz, M. (2005), A class of variational strain-localization finite elements. Int. J. Numer. Meth. Engng., 62: 1013–1037. doi:10.1002/nme.1199
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83516
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:29 Nov 2017 20:17
Last Modified:24 Feb 2020 10:30

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