THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA
This paper is concerned with the determination of the transient stress and deformational state of plate‐like discontinua subject to flexural cracking. Such a phenomenon can be easily visualized as the type of fragmentation to floating sea ice impacted by an ice‐breaker or offshore platform. The disc...
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cremerald:10.1108/eb023854 2024-09-15T18:35:09+00:00 THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA HOCKING, GRANT 1992 http://dx.doi.org/10.1108/eb023854 https://www.emerald.com/insight/content/doi/10.1108/eb023854/full/xml https://www.emerald.com/insight/content/doi/10.1108/eb023854/full/html en eng Emerald https://www.emerald.com/insight/site-policies Engineering Computations volume 9, issue 2, page 145-155 ISSN 0264-4401 journal-article 1992 cremerald https://doi.org/10.1108/eb023854 2024-07-10T04:05:44Z This paper is concerned with the determination of the transient stress and deformational state of plate‐like discontinua subject to flexural cracking. Such a phenomenon can be easily visualized as the type of fragmentation to floating sea ice impacted by an ice‐breaker or offshore platform. The discrete element method is used to solve the dynamic equilibrium equations for each distinct deformable body and the interaction between bodies. Each body may deform elastically and fracture into further pieces if a brittle failure criterion for flexure is exceeded. The discrete plate element is a hybrid thin‐plate (Kirchhoff) mode lumped at element boundaries with transverse shear deformation computed at element centroids. Errors in computed stresses near point loads and cracks by the current element warrant the use of an improved mixed mode plate element. A three‐dimensional application of the discrete element method is presented for the case of fragmentation of floating sea ice impacting an arctic offshore platform. A semi‐implicit solution scheme is introduced to overcome the stringent explicit time step stability conditions due to stiff members in the discrete element formulation. Article in Journal/Newspaper Sea ice Emerald Engineering Computations 9 2 145 155 |
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Emerald |
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cremerald |
language |
English |
description |
This paper is concerned with the determination of the transient stress and deformational state of plate‐like discontinua subject to flexural cracking. Such a phenomenon can be easily visualized as the type of fragmentation to floating sea ice impacted by an ice‐breaker or offshore platform. The discrete element method is used to solve the dynamic equilibrium equations for each distinct deformable body and the interaction between bodies. Each body may deform elastically and fracture into further pieces if a brittle failure criterion for flexure is exceeded. The discrete plate element is a hybrid thin‐plate (Kirchhoff) mode lumped at element boundaries with transverse shear deformation computed at element centroids. Errors in computed stresses near point loads and cracks by the current element warrant the use of an improved mixed mode plate element. A three‐dimensional application of the discrete element method is presented for the case of fragmentation of floating sea ice impacting an arctic offshore platform. A semi‐implicit solution scheme is introduced to overcome the stringent explicit time step stability conditions due to stiff members in the discrete element formulation. |
format |
Article in Journal/Newspaper |
author |
HOCKING, GRANT |
spellingShingle |
HOCKING, GRANT THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
author_facet |
HOCKING, GRANT |
author_sort |
HOCKING, GRANT |
title |
THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
title_short |
THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
title_full |
THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
title_fullStr |
THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
title_full_unstemmed |
THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA |
title_sort |
discrete element method for analysis of fragmentation of discontinua |
publisher |
Emerald |
publishDate |
1992 |
url |
http://dx.doi.org/10.1108/eb023854 https://www.emerald.com/insight/content/doi/10.1108/eb023854/full/xml https://www.emerald.com/insight/content/doi/10.1108/eb023854/full/html |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Engineering Computations volume 9, issue 2, page 145-155 ISSN 0264-4401 |
op_rights |
https://www.emerald.com/insight/site-policies |
op_doi |
https://doi.org/10.1108/eb023854 |
container_title |
Engineering Computations |
container_volume |
9 |
container_issue |
2 |
container_start_page |
145 |
op_container_end_page |
155 |
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1810478006958817280 |