WIAS Preprint No. 863, (2003)
Optimal design of mechanical structures
- Sprekels, Jürgen
- Tiba, Dan
2010 Mathematics Subject Classification
- 49J20 49J40 49K20
- linear elastic curved systems, shape optimization, control-into-coefficients
We prove new properties for the linear isotropic elasticity system and for thickness minimization problems. We also present very recent results concerning shape optimization problems for three-dimensional curved rods and for shells. The questions discussed in this paper are related to the control variational method and to control into coefficients problems.
- Chapter 18 of ``Control Theory of Partial Differential Equations'' (O. Imanuvilov, G. Leugering, R. Triggiani, B.-Y. Zhang, eds.), Pure and Applied Mathematics Series 242, 2005, Chapman & Hall, Boca Raton, pp. 239-271.