Shape derivatives for an augmented Lagrangian formulation of elastic contact problems
نویسندگان
چکیده
This work deals with shape optimization of an elastic body in sliding contact (Signorini) a rigid foundation. The mechanical problem is written under its augmented Lagrangian formulation, then solved using classical iterative approach. For practical reasons we are interested applying the process respect to intermediate solution produced by method. Because projection operator involved at each iteration, iterate not classically differentiable. However, approach based on directional derivatives, able prove that it conically differentiable shape, and express sufficient conditions for differentiability. Finally, from analysis sequence conical derivatives process, established convergence derivative original problem.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2021
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2020063