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Structural Engineering and Mechanics
  Volume 8, Number 4, October 1999, pages 325-341
DOI: http://dx.doi.org/10.12989/sem.1999.8.4.325
 


Limit analysis of plates-a finite element formulation
Capsoni A, Corradi L

 
Abstract
    A procedure for the computation of the load carrying capacity of perfectly plastic plates in bending is presented. The approach, based on the kinematic theorem of limit analysis, requires the evaluation of the minimum of a convex, but non-smooth, function under linear equality constraints. A systematic solution procedure is devised, which detects and eliminates the finite elements which are predicted as rigid in the collapse mechanism, thus reducing the problem to the search for the minimum of a smooth and essentially unconstrained function of nodal velocities. Both Kirchhoff and Mindlin plate models are considered. The effectiveness of the approach is illustrated by means of some examples.
 
Key Words
    rigid-plastic material, limit analysis, plates
 
Address
Capsoni A, Politecn Milan, Dept Struct Engn, Piazza Leonardo Vinci 32, I-20133 Milan, Italy
Politecn Milan, Dept Struct Engn, I-20133 Milan, Italy
 

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