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A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates
Abstract : Upper bound limit analysis allows one to evaluate directly the ultimate
load of structures without performing a cumbersome incremental
analysis. In order to numerically apply this method to thin plates in
bending, several authors have proposed to use various finite elements
discretizations. We provide in this paper a mathematical analysis
which ensures the convergence of the finite element method, even with
finite elements with discontinuous derivatives such as the quadratic 6
node Lagrange triangles and the cubic Hermite triangles. More precisely,
we prove the Γ-convergence of the discretized problems towards
the continuous limit analysis problem. Numerical results illustrate the
relevance of this analysis for the yield design of both homogeneous and
non-homogeneous materials.
https://hal.inria.fr/hal-01112226
Contributor : Jean-David Benamou Connect in order to contact the contributor
Submitted on : Monday, February 2, 2015 - 2:35:57 PM
Last modification on : Friday, January 21, 2022 - 3:20:11 AM
Contributor : Jean-David Benamou Connect in order to contact the contributor
Submitted on : Monday, February 2, 2015 - 2:35:57 PM
Last modification on : Friday, January 21, 2022 - 3:20:11 AM
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