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THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA

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 platelike discontinua subject to flexural cracking. Such a phenomenon can be easily visualized as the type of fragmentation to floating sea ice impacted by an icebreaker 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 thinplate 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 threedimensional application of the discrete element method is presented for the case of fragmentation of floating sea ice impacting an arctic offshore platform. A semiimplicit solution scheme is introduced to overcome the stringent explicit time step stability conditions due to stiff members in the discrete element formulation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

THE DISCRETE ELEMENT METHOD FOR ANALYSIS OF FRAGMENTATION OF DISCONTINUA

Engineering Computations , Volume 9 (2): 11 – Feb 1, 1992

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023854
Publisher site
See Article on Publisher Site

Abstract

This paper is concerned with the determination of the transient stress and deformational state of platelike discontinua subject to flexural cracking. Such a phenomenon can be easily visualized as the type of fragmentation to floating sea ice impacted by an icebreaker 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 thinplate 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 threedimensional application of the discrete element method is presented for the case of fragmentation of floating sea ice impacting an arctic offshore platform. A semiimplicit solution scheme is introduced to overcome the stringent explicit time step stability conditions due to stiff members in the discrete element formulation.

Journal

Engineering ComputationsEmerald Publishing

Published: Feb 1, 1992

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