Upper-Bound Solutions for Rigid-Plastic Beams and Plates of Large Deflections by Variation Principles
Publication: Journal of Engineering Mechanics
Volume 133, Issue 1
Abstract
This paper demonstrates deriving upper-bound solutions of geometrically nonlinear problems for beams and plates from rigid perfectly plastic material by the principles of virtual work in general form and stationary of total energy. Presented noncomplicated examples justify that the first is more appropriate when a kinematically admissible displacement field is defined by several generalized displacements. The second can serve as effective means for comparison in accuracy solutions corresponding to different displacement fields playing the same role as the upper-bound theorem in the limit analysis. Procedures of the latter for obtaining upper-bound solutions mainly remain valid. Solutions for a beam and rectangular plate subjected to uniformly distributed load illustrate importance of taking into account transformation forms of displacements in loading process.
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© 2007 ASCE.
History
Received: Nov 8, 2005
Accepted: Feb 14, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: George Z. Voyiadjis
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