The hierarchical topology optimisation of three-dimensional structures is addressed in this paper. The structure lay-out (macroscale) and material microstructure (microscale) are optimised concurrently. It is assumed that structure is made up of a periodic cellular material. Typically, the problem is formulated as the compliance minimization subjected to a global volume fraction constraint. Local material solutions with optimum stiffness satisfying only volume fraction requirements may not present appropriate features for fabrication or for specific applications. In order to overcome these limitations, this work extends the hierarchical model to handle multiple local constraints and describes an appropriate algorithm to solve it. Local material design problems can be solved independently and one takes advantage of this property by using parallel computing techniques to speed-up the solution task.Beyond a local volume fraction this work considers an additional constraint related with permeability. This type of constraint is critical in applications involving either bone remodelling simulations or design of bone substitutes (scaffolds). To illustrate it, a three-dimensional finite element model of the proximal femur is used to simulate the natural bone adaptation taking into account the influence of permeability in that process. The results obtained for a proximal femur bone show a fine agreement with real bone.
|Title of host publication||World Congress on Structural and Multidisciplinary Optimization|
|Publication status||Published - 1 Jan 2009|
|Event||WCSMO-08 - 8th World Congress on Structural and Multidisciplinary Optimization - |
Duration: 1 Jan 2009 → …
|Conference||WCSMO-08 - 8th World Congress on Structural and Multidisciplinary Optimization|
|Period||1/01/09 → …|