PSI - Issue 32

Daria Dolgikh et al. / Procedia Structural Integrity 32 (2021) 246–252 D. Dolgikh, M. Tashkinov / Structural Integrity Procedia 00 (2019) 000–000

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Fig.5. Mises stress distribution field in a representative volume (p = 0.514) of the cellular structure a) before optimization; b) after optimization.

The figures show fields of stress distribution in random cellular structures before and after optimization process. The stress concentrators are observed in the ligaments of the random structures. The elements that correspond to minimal stress are located on material surface and in the distance from pores. Since elements of the random cell structure with small stresses are not involved in load transfer, they can be neglected. The material is gradually removed in a given design domain during the topological optimization process. This topological optimization process is performed according to an iterative algorithm until an optimal result corresponding to a given material volume factor is achieved. In addition, the maximum stresses are redistributed and the overall stress level of the structure is reduced. Figures 6 and 7 show forces required to implement tensile load with the specified displacement for models of cellular structures with similar and different volume fractions, respectively.

Fig.6. Graphs of the dependence of reaction forces on displacement for models of cellular structures with similar volume fractions