Anisotropy and shape optimal design of shells by the polar-isogeometric approach

Félix D. Kpadonou (1) , C Fourcade (2) , P de Nazelle (3) , P Vannucci (1)

1 LMV - Laboratoire de Mathématiques de Versailles
2 Technocentre Renault [Guyancourt]
3 IRT SystemX

We focus in this paper on the simultaneous shape and material optimal design of shells by an isogeometric approach of a new kind, in which geometry and material properties of the structure are defined by B-spline functions and the design parameters are the control points coordinates. Different kinds of constraints on the regularity, the admissibility of the elastic moduli etc, are taken into account and some numerical examples proving the effectiveness of the approach are given.

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]; Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]

Félix D. Kpadonou, C Fourcade, P de Nazelle, P Vannucci. Anisotropy and shape optimal design of shells by the polar-isogeometric approach. 2018. ⟨hal-01818637v1⟩