Consideration of geometric nonlinearity in rigid-plastic finite element formulation of continuum elements for large deformation

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A rigid-plastic finite element formulation for the continuum elements employing the geometric nonlinearity during an incremental time step is presented. In sheet metal deformation, the displacement for each step is considerably large even though the effective strain increment is very small. For such large displacement problems, geometric nonlinearity must be considered. In the elastic-plastic finite element using continuum elements, general incremental formulations to include the geometric nonlinearity are available. However, in the conventional rigid-plastic finite element analysis using continuum elements, the geometric nonlinearity has not been considered properly during an incremental time step. In this paper, in order to incorporate geometric nonlinearity to rigid-plastic continuum elements during a step, the convected coordinate system is introduced. To show the stability of strain distributions by the effect of geometric nonlinearity according to incremental step size, two sheet metal forming processes, stretching and deep drawing process, are analysed with various step sizes. Then the computed results using the derived equation are compared with those obtained without considering geometric nonlinearity. (C) 1997 Published by Elsevier Science Ltd.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1997-12
Language
English
Article Type
Article
Keywords

FORMING PROCESSES; DIAPHRAGMS; PROGRAM

Citation

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v.39, no.12, pp.1423 - 1440

ISSN
0020-7403
URI
http://hdl.handle.net/10203/2621
Appears in Collection
ME-Journal Papers(저널논문)
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