Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions

DOI10.1137/151004860zbMath1382.74101OpenAlexW2306597012MaRDI QIDQ2796756

Emílio Carlos Nelli Silva, R. Amigo, Jan Sokolowski, Sebastián M. Giusti, Antonio André Novotny

Publication date: 29 March 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/71815

zbMATH Keywords

domain decompositionasymptotic analysistopology designDirichlet-to-Neumann maptopological derivativeSteklov-Poincaré operatorpiezoelectric actuator

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Electromagnetic effects in solid mechanics (74F15) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) PDEs in connection with mechanics of deformable solids (35Q74) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (7)

Asymptotic analysis of variational inequalities with applications to optimum design in elasticity ⋮ Crack growth control based on the topological derivative of the Rice's integral ⋮ A robust topological derivative-based multi-material optimization approach: optimality condition and computational algorithm ⋮ Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects ⋮ Stress-constrained level set topology optimization for compliant mechanisms

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