Shell topology optimization using the layered artificial material model

A general methodology for topology optimization using the nite element method is described for shell structures. Four- and nine-node Reissner{Mindlin shell elements with drilling degrees of freedom are used for the nite element response analysis. The arti cial material model is used in the topology optimization and in particular, an isotropic multi-layer shell model is introduced to allow the formation of holes or sti ening zones. In addition, a single design variable resizing algorithm is implemented based on the existing criterion which is found to be adequate for the arti cial material model. Several benchmark tests are presented to show the overall performance of the proposed methodology. The strain energy variation together with the variation of the layout of the structure is monitored. Some detailed examples are provided with comparisons of the use of the four- and nine-node elements and studies of critical solution parameters