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Authors: Christopher J. Brampton ; Alicia H. Kim and James L. Cunningham

Affiliation: University of Bath, United Kingdom

Keyword(s): Level set method, 3D topology optimization, Voxel mesh.

Abstract: In level set topology optimization the boundary of the structure is defined by level set function values stored at the nodes of a regular gird of simple bilinear elements. By changing the level set function values according to optimization sensitivities the boundary of the structure is moved to create an optimal structure. However it is possible for the boundary to cut an element more than once; violating the linear element assumptions resulting in insufficient nodal information for the optimization sensitivity calculations. To resolve this the local boundary of the structure is moved so that each element is only cut once. In 2D where a square element mesh is used an element cut twice times is altered by moving one of the boundaries within the element to intercept the node closest to it removing the extra cut from the element. In 3D where a voxel mesh is used the process of moving the boundary within an element is more complicated due to the greater number of boundary cuts possible a nd the effect that it can have on neighbouring elements. An algorithm is developed which allows the boundary within a 3D element to be moved with these considerations taken into account. (More)

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Paper citation in several formats:
J. Brampton, C.; H. Kim, A. and L. Cunningham, J. (2012). ALGORITHM TO MAINTAIN LINEAR ELEMENT IN 3D LEVEL SET TOPOLOGY OPTIMIZATION. In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods (ICPRAM 2012) - Volume 2: SADM; ISBN 978-989-8425-98-0; ISSN 2184-4313, SciTePress, pages 341-350. DOI: 10.5220/0003860003410350

@conference{sadm12,
author={Christopher {J. Brampton}. and Alicia {H. Kim}. and James {L. Cunningham}.},
title={ALGORITHM TO MAINTAIN LINEAR ELEMENT IN 3D LEVEL SET TOPOLOGY OPTIMIZATION},
booktitle={Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods (ICPRAM 2012) - Volume 2: SADM},
year={2012},
pages={341-350},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003860003410350},
isbn={978-989-8425-98-0},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods (ICPRAM 2012) - Volume 2: SADM
TI - ALGORITHM TO MAINTAIN LINEAR ELEMENT IN 3D LEVEL SET TOPOLOGY OPTIMIZATION
SN - 978-989-8425-98-0
IS - 2184-4313
AU - J. Brampton, C.
AU - H. Kim, A.
AU - L. Cunningham, J.
PY - 2012
SP - 341
EP - 350
DO - 10.5220/0003860003410350
PB - SciTePress

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