Reference : Level set topology optimization considering damage
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Aerospace & aeronautics engineering
Level set topology optimization considering damage
Noel, Lise mailto []
Duysinx, Pierre mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
maute, kurt mailto [University of Colorado at Boulder - CU > > > >]
Structural and Multidisciplinary Optimization
[en] Structural optimization ; X-FEM ; Level Set ; Damage ; Non-local damage model
[en] This paper provides a level set based topology optimization approach to design structures exhibiting resistance to damage. The geometry of the structures is represented by the level set method. The design domains are discretized by the extended finite element method allowing
for fixed non conforming meshes. The mechanical model represents quasi-brittle materials. Undamaged material behavior is assumed linear elastic while a loss of stiffness is introduced through a non-local damage model. Small strains are assumed. The sensitivities are evaluated by
an analytical derivation of the discretized governing equations of the system and considering the adjoint approach. As the damage process is irreversible, the structural responses are path-dependent and this dependency is accounted for in the sensitivity analysis. The optimization
problems are solved by mathematical programming algorithms, in particular using the GCMMA scheme. The proposed approach is illustrated with two dimensional examples that highlight the influence of degradation on the optimized designs.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS

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