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dc.contributor.authorChandra, Yenny
Zhou, Yang
Stanciulescu, Ilinca
Eason, Thomas
Spottswood, Stephen
dc.date.accessioned 2015-06-15T18:57:50Z
dc.date.available 2015-06-15T18:57:50Z
dc.date.issued 2015
dc.identifier.citation Chandra, Yenny, Zhou, Yang, Stanciulescu, Ilinca, et al.. "A robust composite time integration scheme for snap-through problems." Computational Mechanics, (2015) Springer: http://dx.doi.org/10.1007/s00466-015-1152-3.
dc.identifier.urihttps://hdl.handle.net/1911/80759
dc.description.abstract A robust time integration scheme for snap-through buckling of shallow arches is proposed. The algorithm is a composite method that consists of three sub-steps. Numerical damping is introduced to the system by employing an algorithm similar to the backward differentiation formulas method in the last sub-step. Optimal algorithmic parameters are established based on stability criteria and minimization of numerical damping. The proposed method is accurate, numerically stable, and efficient as demonstrated through several examples involving loss of stability, large deformation, large displacements and large rotations.
dc.language.iso eng
dc.publisher Springer
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title A robust composite time integration scheme for snap-through problems
dc.type Journal article
dc.contributor.funder Air Force Office of Scientific Research
dc.contributor.funder U.S. Department of Defense High Performance Computing Modernization Program
dc.contributor.funder National Science Foundation
dc.contributor.funder Sun Microsystems
dc.contributor.funder Sigma Solutions, Inc.
dc.citation.journalTitle Computational Mechanics
dc.subject.keywordtime integration
nonlinear dynamics
snap-through
backward differentiation formula
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1007/s00466-015-1152-3
dc.identifier.grantID FA9550-09-1-0201 (Air Force Office of Scientific Research)
dc.identifier.grantID GS04T09DBC0017 (U.S. Department of Defense High Performance Computing Modernization Program)
dc.identifier.grantID OCI-0959097 (National Science Foundation)
dc.identifier.grantID EIA-0216467
dc.type.publication publisher version


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