Adaptive mesh refinements for thin shells whose middle surface is not exactly known

Philippe Destuynder (1) , Yann Moguen (2) , Michel Salaün (3)

1 CNAM - Conservatoire National des Arts et Métiers [CNAM]
2 LATEP - Laboratoire de Génie Thermique Énergétique et Procédés (EA1932)
3 DMSM - Département de Mécanique des Structures et Matériaux

Adaptive mesh refinement Geometry approximation Mixed finite elements method A posteriori error estimation a b s t r a c t A strategy concerning mesh refinements for thin shells computation is presented. The geometry of the shell is given only by the reduced information consisting in nodes and normals on its middle surface corresponding to a coarse mesh. The new point is that the mesh refinements are defined from several criteria , including the transverse shear forces which do not appear in the mechanical energy of the applied shell formulation. Another important point is to be able to construct the unknown middle surface at each step of the refinement. For this, an interpolation method by edges, coupled with a triangle bisection algorithm , is applied. This strategy is illustrated on various geometries and mechanical problems.

Keywords: Shell; adaptive mesh refinement; geometry approximation; mixed finite elements method; a posteriori error estimation

Domains: Engineering Sciences [physics]; Mechanics [physics.med-ph]; Structural mechanics [physics.class-ph]

Philippe Destuynder, Yann Moguen, Michel Salaün. Adaptive mesh refinements for thin shells whose middle surface is not exactly known. Computer Methods in Applied Mechanics and Engineering, 2008, ⟨10.1016/j.cma.2008.07.001⟩. ⟨hal-02358810⟩