
doi: 10.1137/0511049
The collapse problem for plate bending is considered as an infinite dimensional mathematical programming problem. The duality between the static and kinematic formulations of limit analysis is proved, and it is shown that limit fields for bending moments and displacement rates exist. Finally we analyze the approximation of the continuous problem by finite-dimensional convex programming problems using the finite element method.
Methods of successive quadratic programming type, Finite element methods applied to problems in solid mechanics, limit fields for bending moments and displacement rates exist, Anelastic fracture and damage, Plates, duality between static and kinematic formulations
Methods of successive quadratic programming type, Finite element methods applied to problems in solid mechanics, limit fields for bending moments and displacement rates exist, Anelastic fracture and damage, Plates, duality between static and kinematic formulations
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