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• W2086034512 abstract "As a means for determining the response of a rigid-plastic structure to impact, formulation of the problem as a Linear Complementarity Problem (LCP) through finite element modelling is shown to offer the benefits of a systematic numerical process which is also automatic from start-up to standstill. Solution of a recurrent sequence of LCPs traces the development of plastic deformation discretely through time, as the structure responds to impact. It turns out that Lemke’s algorithm, chosen as a robust LCP solver, requires extra support to avoid cycling, very prevalent in this type of problem. Investigation of a central transverse impact on a simply supported beam with infinite resistance to shear deformation provided the opportunity for an LCP solution to be compared with a continuum representation of the problem. With simple plastic hinges, deforming only in bending, the improvement in accuracy that normally follows refinement of a finite element mesh was partly undermined by the effects of numerical difficulty with the modelling. A second investigation was made into the central transverse impact of a beam, this time with fixed supports, but more especially one in which the response involved both shear and bending deformations, interacting through the normal flow rule of a simple rectangular yield criterion. The numerical difficulty of the previous investigation completely disappeared and comparisons with available closed-form solutions confirmed the accuracy and convergence of the LCP solution." @default.
• W2086034512 created "2016-06-24" @default.
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• W2086034512 date "2013-05-01" @default.
• W2086034512 modified "2023-10-16" @default.
• W2086034512 title "Investigation of rigid-plastic beams subjected to impact using linear complementarity" @default.
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• W2086034512 doi "https://doi.org/10.1016/j.engstruct.2012.12.005" @default.
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