Improved contact algorithm for the material point method and application to stress propagation in granular material

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Publication Type Journal Article
School or College College of Engineering
Department Mechanical Engineering
Program Center for the Simulation of Accidental Fires and Explosions (C-SAFE)
Creator Guilkey, James Edward
Other Author Bardenhagen, S. G.; Roessig, K. M.; Brackbill, J. U.; Witzel, W. M.; Foster, J. C.
Title Improved contact algorithm for the material point method and application to stress propagation in granular material
Date 2001
Description Contact between deformable bodies is a difficult problem in the analysis of engineering systems. A new approach to contact has been implemented using the Material Point Method for solid mechanics, Bardenhagen, Brackbill, and Sulsky (2000a). Here two improvements to the algorithm are described. The first is to include the normal traction in the contact logic to more appropriately determine the free separation criterion. The second is to provide numerical stability by scaling the contact impulse when computational grid information is suspect, a condition which can be expected to occur occasionally as material bodies move through the computational grid. The modifications described preserve important properties of the original algorithm, namely conservation of momentum, and the use of global quantities which obviate the need for neighbor searches and result in the computational cost scaling linearly with the number of contacting bodies. The algorithm is demonstrated on several examples. Deformable body solutions compare favorably with several problems which, for rigid bodies, have analytical solutions. A much more demanding simulation of stress propagation through idealized granular material, for which high fidelity data has been obtained, is examined in detail. Excellent qualitative agreement is found for a variety of contact conditions. Important material parameters needed for more quantitative comparisons are identified.
Type Text
Publisher Tech Science Press
Volume 2
Issue 4
First Page 509
Last Page 522
Subject Contact algorithm; Material point method; Wave propagation; Granular material; Solid mechanics
Subject LCSH Computer algorithms; Mechanics, Applied; Stress waves
Language eng
Bibliographic Citation Bardenhagen, S. G., Guilkey, J. E., Roessig, K. M., Brackbill, J. U., Witzel, W. M., & Foster, J. C. (2001). Improved contact algorithm for the material point method and application to stress propagation in granular materials. Computer Modeling in Engineering & Sciences, 2(4), 509-22.
Rights Management (c)Tech Science Press
Format Medium application/pdf
Format Extent 578,467 bytes
Identifier ir-main,7002
ARK ark:/87278/s6dz0ssq
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2012-06-13
ID 705733
Reference URL https://collections.lib.utah.edu/ark:/87278/s6dz0ssq
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