Topology optimization of continuum structures subjected to pressure loading

This paper presents a generalization of topology optimization of linearly e lastic continuum structures to problems involving loadings that depend on t he design. Minimum compliance is chosen as the design objective, assuming t he boundary conditions and the total volume within the admissible design do main to be given. The topology optimization is based on the usage of a SIMP material model. The type of loading considered in this paper occurs if free structural surf ace domains are subjected to static pressure, in which case both the direct ion and location of the loading change with the structural design. The presentation of the material is given in a 2D context, but art extensio n to 3D is straightforward. The robustness of the optimization method is il lustrated by some numerical examples in the end of the paper.