Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type – application to compliance minimization. (English) Zbl 1428.35573
This paper focuses on generalized impedance boundary conditions (GIBC) with second order derivatives in the context of linear elasticity and general curved interfaces. Some modeling, analysis and computation results are presented.
Reviewer: Dongbing Zha (Shanghai)
MSC:
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 35C20 | Asymptotic expansions of solutions to PDEs |
| 49Q10 | Optimization of shapes other than minimal surfaces |
| 49Q12 | Sensitivity analysis for optimization problems on manifolds |
| 74B05 | Classical linear elasticity |
| 74P05 | Compliance or weight optimization in solid mechanics |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
Keywords:
asymptotic analysis; generalized impedance boundary conditions; Wentzell conditions; shape calculus; shape sensitivity analysis; compliance minimization; linear elasticitySoftware:
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