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Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function
This article presents a novel approach to collision detection based on distance fields. A novel interpolation ensures stability of the distances in the vicinity of complex geometries. An assumed gradient formulation is introduced leading to a [Formula: see text]-continuous distance function. The gap...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
North-Holland Pub. Co
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3719212/ https://www.ncbi.nlm.nih.gov/pubmed/23888088 http://dx.doi.org/10.1016/j.cma.2013.02.015 |
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author | Wolff, Sebastian Bucher, Christian |
author_facet | Wolff, Sebastian Bucher, Christian |
author_sort | Wolff, Sebastian |
collection | PubMed |
description | This article presents a novel approach to collision detection based on distance fields. A novel interpolation ensures stability of the distances in the vicinity of complex geometries. An assumed gradient formulation is introduced leading to a [Formula: see text]-continuous distance function. The gap function is re-expressed allowing penalty and Lagrange multiplier formulations. The article introduces a node-to-element integration for first order elements, but also discusses signed distances, partial updates, intermediate surfaces, mortar methods and higher order elements. The algorithm is fast, simple and robust for complex geometries and self contact. The computed tractions conserve linear and angular momentum even in infeasible contact. Numerical examples illustrate the new algorithm in three dimensions. |
format | Online Article Text |
id | pubmed-3719212 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | North-Holland Pub. Co |
record_format | MEDLINE/PubMed |
spelling | pubmed-37192122013-07-23 Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function Wolff, Sebastian Bucher, Christian Comput Methods Appl Mech Eng Article This article presents a novel approach to collision detection based on distance fields. A novel interpolation ensures stability of the distances in the vicinity of complex geometries. An assumed gradient formulation is introduced leading to a [Formula: see text]-continuous distance function. The gap function is re-expressed allowing penalty and Lagrange multiplier formulations. The article introduces a node-to-element integration for first order elements, but also discusses signed distances, partial updates, intermediate surfaces, mortar methods and higher order elements. The algorithm is fast, simple and robust for complex geometries and self contact. The computed tractions conserve linear and angular momentum even in infeasible contact. Numerical examples illustrate the new algorithm in three dimensions. North-Holland Pub. Co 2013-06-01 /pmc/articles/PMC3719212/ /pubmed/23888088 http://dx.doi.org/10.1016/j.cma.2013.02.015 Text en © 2013 Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license |
spellingShingle | Article Wolff, Sebastian Bucher, Christian Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title | Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title_full | Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title_fullStr | Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title_full_unstemmed | Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title_short | Distance fields on unstructured grids: Stable interpolation, assumed gradients, collision detection and gap function |
title_sort | distance fields on unstructured grids: stable interpolation, assumed gradients, collision detection and gap function |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3719212/ https://www.ncbi.nlm.nih.gov/pubmed/23888088 http://dx.doi.org/10.1016/j.cma.2013.02.015 |
work_keys_str_mv | AT wolffsebastian distancefieldsonunstructuredgridsstableinterpolationassumedgradientscollisiondetectionandgapfunction AT bucherchristian distancefieldsonunstructuredgridsstableinterpolationassumedgradientscollisiondetectionandgapfunction |