Topology optimization of structures with stress and additive manufacturing constraints
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Opole University of Technology, Opole, Poland
Grzegorz Fiuk   

Mechanical Department, Opole University of Technology, Poland
Submission date: 2019-11-28
Final revision date: 2020-01-28
Acceptance date: 2020-02-24
Online publication date: 2020-04-15
Publication date: 2020-04-15
Journal of Theoretical and Applied Mechanics 2020;58(2):459–468
The paper presents a new methodology dedicated to design for additive manufacturing. Based on a hybrid algorithm of topological optimization, the method enables application of advanced constraints and validates solutions “on the fly” using virtual prototyping. Advanced constraints consider the influence of directions of additive manufacturing as well as the equivalent stress. In the optimization framework, real material properties related to three manufacturing directions were considered. The new design methodology is illustrated by benchmark tests and examples of wrist-hand orthosis topology optimization in which stress and manufacturing constraints were taken into account. As demonstrated by the conducted comparison tests with available commercial tools, the solutions obtained with the new method were characterized by lower mass and shorter computation time.
This paper is funded by the National Science Center, Poland on the implementation of the scientific activity, which received funding under the competition: “MINIATURA I” No. 2017/01/X/ST8/00156.
Dapogny C., Estevez R., Fuare A., Michailidis G., 2019, Shape and topology optimization considering anisotropic features induced by additive manufacturing processes, Computer Methods in Applied Mechanics and Engineering, 334, 626-665.
El-Gizawy, Sherif A., Corl S., Graybill B., 2011, Process-induced Properties of FDM Products, Proceedings of the ICMET, International Conference on Mechanical Engineerings and Technology Congress and Exposition.
Hoglund R.M., 1992, An anisotropic topology optimization method for carbon fiber-reinforced fused filament fabrication, Ph.D. Thesis, Baylor University, Texas.
Jiang D., 2017, Three-dimensional topology optimization with orthotropic material orientation design for additive manufacturing structures, Ph.D. Thesis, Baylor University, Texas.
Kirkpatrick S., Gelatt C.D., Vecchi M.P., 1983, Optimization by simulated annealing, Science, 220, 671-680.
Lewiński T., Rozvany G.I.N., 2008, Analytical benchmarks for topological optimization IV: square-shaped line support, Structural and Multidisciplinary Optimization, 36, 143-158.
Liu J., Chen Q., Liang X., To A.C., 2019, Manufacturing cost constrained topology optimization for additive manufacturing, Frontiers Of Mechanical Engineering, 14, 213-221.
Michell A.G.M., 1904, The limits of economy of material in frame-structures, Philosophical Magazine, 8, 589-597.
Mirzendehdel A.M., Rankouhi B., Suresh K., 2018, Strength-based topology optimization for anisotropic parts, Additive Manufacturing, 19, 104-113.
Mirzendehdel A.M., Suresh K., 2016, Support structure constrained topology optimization for additive manufacturing, Computer-Aided Design, 81, 1-13.
Mrzygłód M., 2012, Multi-constrained topology optimization using constant criterion Surface algorithm, Bulletin of the Polish Academy of Sciences – Technical Sciences, 60, 229-236.
Park J.-H., Goo B., Park K., 2019, Topology optimization and additive manufacturing of customized sports item considering orthotropic anisotropy, International Journal of Precision Engineering and Manufacturing, 20, 1443-1450.
Querin O.M., Steven G.P., Xie Y.M., 1998, Evolutionary structural optimization (ESO) using bidirectional algorithm, Engineering Computations, 15, 1031-1048.
Sheth S., Taylor R.M., Adluru H., 2017, Numerical investigation of stiffness properties of FDM parts as a function of raster orientation, [In:] Solid Freeform Fabrication 2017: Proceedings of the 28th Annual International Solid Freeform Fabrication Symposium – An Additive Manufacturing Conference.
Thore C.-J., Grundström H.A., Torstenfelt B., Klarbring A., 2019, Penalty regulation of overhang in topology optimization for additive manufacturing, Structural and Multidisciplinary Optimization, 60, 59-67.
Xie Y.M., Steven G.P., 1993, A simple evolutionary procedure for structural optimization, Computers and Structures, 49, 885-896.
Zhang P., Liu J., To A.C., 2017, Role of anisotropic properties on topology optimization of additive manufactured load bearing structures, Scripta Materialia, 135, 148-152.
Zhou M., Rozvany G.I.N., 1991, The COC algorithm. Part II: Topological, geometrical and generalized shape optimization, Computer Methods in Applied Mechanics and Engineering, 89, 309-336.