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On advanced solution strategies to overcome locking effects in strong discontinuity approaches

On advanced solution strategies to overcome locking effects in strong discontinuity approaches This paper is concerned with the analysis of locking effects resulting from different orientations of micro‐defects and those of the corresponding macro‐defects. Based on a mixed‐mode material model embedded within the framework of the strong discontinuity approach (SDA), the described locking effect is illustrated by means of a crack analysis of a notched concrete beam. To overcome the deficiency of the proposed finite element model, the original SDA is modified and extended. For that purpose, two different advanced numerical formulations are developed: a rotating crack approach and a multiple crack approach. Restricting the governing equations to the material point level, a standard return‐mapping procedure is applied to the algorithmic formulations of both models. The applicability and the performance of the proposed numerical implementations are investigated by means of a re‐analysis of the two‐dimensional notched concrete beam. Copyright © 2005 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical Methods in Engineering Wiley

On advanced solution strategies to overcome locking effects in strong discontinuity approaches

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References (56)

Publisher
Wiley
Copyright
Copyright © 2005 John Wiley & Sons, Ltd.
ISSN
0029-5981
eISSN
1097-0207
DOI
10.1002/nme.1329
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the analysis of locking effects resulting from different orientations of micro‐defects and those of the corresponding macro‐defects. Based on a mixed‐mode material model embedded within the framework of the strong discontinuity approach (SDA), the described locking effect is illustrated by means of a crack analysis of a notched concrete beam. To overcome the deficiency of the proposed finite element model, the original SDA is modified and extended. For that purpose, two different advanced numerical formulations are developed: a rotating crack approach and a multiple crack approach. Restricting the governing equations to the material point level, a standard return‐mapping procedure is applied to the algorithmic formulations of both models. The applicability and the performance of the proposed numerical implementations are investigated by means of a re‐analysis of the two‐dimensional notched concrete beam. Copyright © 2005 John Wiley & Sons, Ltd.

Journal

International Journal for Numerical Methods in EngineeringWiley

Published: Jul 7, 2005

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