The topological asymptotic for PDE systems: The elasticity case. (English) Zbl 0990.49028

Garreau, Stéphane; Guillaume, Philippe; Masmoudi, Mohamed

SIAM J. Control Optimization 39, No. 6, 1756-1778 (2001).

MSC:

49Q12	Sensitivity analysis for optimization problems on manifolds
74P05	Compliance or weight optimization in solid mechanics
49Q10	Optimization of shapes other than minimal surfaces
74P10	Optimization of other properties in solid mechanics
74P15	Topological methods for optimization problems in solid mechanics
35Q72	Other PDE from mechanics (MSC2000)
74B05	Classical linear elasticity

Keywords:

topological sensitivity; topological derivative; shape optimization; design sensitivity; elasticity; compliance