WIAS Preprint No. 863, (2003)

Optimal design of mechanical structures


Authors

  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604
  • Tiba, Dan

2010 Mathematics Subject Classification

  • 49J20 49J40 49K20

Keywords

  • linear elastic curved systems, shape optimization, control-into-coefficients

DOI

10.20347/WIAS.PREPRINT.863

Abstract

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.

Appeared in

  • 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.

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