Title

Numerical benchmarks for topology optimization of structures with stress constraints

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2021

Volume

69

Issue

6

Affiliation

Fiuk, Grzegorz : Opole University of Technology, Faculty of Mechanical Engineering, ul. Mikołajczyka 5, 45-271 Opole, Poland ; Mrzygłód, Mirosław W. : Opole University of Technology, Faculty of Mechanical Engineering, ul. Mikołajczyka 5, 45-271 Opole, Poland

Authors

Fiuk, Grzegorz ; Mrzygłód, Mirosław W.

Keywords

topology benchmarks ; stress constraints ; topology optimization ; additive manufacturing

Divisions of PAS

Nauki Techniczne

Coverage

e139317

Bibliography

1.  S.I. Valdez, S. Botello, M.A. Ochoa, J.L. Marroquín, and V. Cardoso, “Topology Optimization Benchmarks in 2D: Results for Min- imum Compliance and Minimum Volume in Planar Stress Problems,” Arch. Comput. Methods Eng., vol. 24, no. 4, pp. 803–839, Nov. 2017, doi: 10.1007/s11831-016-9190-3.
2.  M. Fanni, M. Shabara, and M. Alkalla, “A Comparison between Different Topology Optimization Methods,” Bull. Fac. Eng. Mansoura Univ., vol. 38, no. 4, pp. 13–24, Jul. 2020, doi: 10.21608/bfemu.2020.103788.
3.  S. Rojas-Labanda and M. Stolpe, “Benchmarking optimization solvers for structural topology optimization,” Struct. Multidiscip. Optim., vol. 52, no. 3, pp. 527–547, Sep. 2015, doi: 10.1007/s00158-015-1250-z.
4.  D. Yang, H. Liu,W. Zhang, and S. Li, “Stress-constrained topology optimization based on maximum stress measures,” Comput. Struct., vol. 198, pp. 23–39, Mar. 2018, doi: 10.1016/j.compstruc.2018.01.008.
5.  D. Pasini, A. Moussa, and A. Rahimizadeh, “Stress-Constrained Topology Optimization for Lattice Materials,” in Encyclopedia of Con- tinuum Mechanics, Berlin, Heidelberg: Springer Berlin Heidelberg, 2018, pp. 1–19.
6.  E. Lee, K.A. James, and J.R.R.A. Martins, “Stress-constrained topology optimization with design-dependent loading,” Struct. Multidis- cip. Optim., vol. 46, no. 5, pp. 647–661, Nov. 2012, doi: 10.1007/s00158-012-0780-x.
7.  L. Xia, L. Zhang, Q. Xia, and T. Shi, “Stress-based topology optimization using bi-directional evolutionary struc- tural optimization method,” Comput. Methods Appl. Mech. Eng., vol. 333, pp. 356 –370, May 2018, doi: 10.1016/j.cma. 2018.01.035.
8.  S. Bulman, J. Sienz, and E. Hinton, “Comparisons between algorithms for structural topology optimization using a series of benchmark studies,” Comput. Struct., vol. 79, no. 12, pp. 1203–1218, May 2001, doi: 10.1016/S0045-7949(01)00012-8.
9.  G.I.N. Rozvany, “Exact analytical solutions for some popular benchmark problems in topology optimization,” Struct. Optim., vol. 15, no. 1, pp. 42–48, Feb. 1998, doi: 10.1007/BF01197436.
10.  G.I.N. Rozvany, “A critical review of established methods of structural topology optimization,” Struct. Multidiscip. Optim., vol. 37, no. 3, pp. 217–237, Jan. 2009, doi: 10.1007/s00158-007-0217-0.
11.  T. Lewiński and G.I.N. Rozvany, “Analytical benchmarks for topological optimization IV: Square-shaped line support,” Struct. Multidiscip. Optim., vol. 36, no. 2, pp. 143–158, Aug. 2008, doi: 10.1007/s00158-007-0205-4.
12.  A. Verbart, M. Langelaar, and F. van Keulen, “Damage approach: A new method for topology optimization with local stress constraints,” Struct. Multidiscip. Optim., vol. 53, no. 5, pp. 1081–1098, May 2016, doi: 10.1007/s00158-015-1318-9.
13.  S. Goo, S. Wang, J. Hyun, and J. Jung, “Topology optimization of thin plate structures with bending stress constraints,” Comput. Struct., vol. 175, pp. 134–143, Oct. 2016, doi: 10.1016/ j.compstruc.2016.07.006.
14.  E. Holmberg, B. Torstenfelt, and A. Klarbring, “Stress constrained topology optimization,” Struct. Multidiscip. Optim., vol. 48, no. 1, pp. 33–47, Jul. 2013, doi: 10.1007/s00158-012-0880-7.
15.  E. Holmberg, Topology optimization considering stress, fatigue and load uncertainties. Linköping University Electronic Press, 2015.
16.  L. He, M. Gilbert, T. Johnson, and T. Pritchard, “Conceptual design of AM components using layout and geometry optimization,” Comput. Math. with Appl., vol. 78, no. 7, pp. 2308–2324, Oct. 2019, doi: 10.1016/j.camwa.2018.07.012.
17.  M. Mrzygłód, “Multi-constrained topology optimization using constant criterion surface algorithm,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 60, no. 2, pp. 229–236, Oct. 2012, doi: 10.2478/v10175-012-0030-9.
18.  M. Zhou and G.I.N. Rozvany, “The COC algorithm, Part II: Topological, geometrical and generalized shape optimization,” Comput. Methods Appl. Mech. Eng., vol. 89, no. 1–3, pp. 309–336, Aug. 1991, doi: 10.1016/0045-7825(91)90046-9.
19.  M.P. Bendsøe and O. Sigmund, Topology Optimization. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.
20.  M.W. Mrzygłód, “Alternative quasi-optimal solutions in evolutionary topology optimization,” in AIP Conference Proceedings, 2018, vol. 1922, p. 020007-1‒020007-7, doi: 10.1063/1.5019034.
21.  G. Fiuk and M.W. Mrzygłód, “Topology optimization of structures with stress and additive manufacturing constraints,” J. Theor. Appl. Mech., vol. 58, no. 2, pp. 459–468, Apr. 2020, doi: 10.15632/jtam-pl/118899.
22.  M. Mrzygłód and T. Kuczek, “Uniform crashworthiness optimization of car body for high-speed trains,” Struct. Multidiscip. Optim., vol. 49, no. 2, pp. 327–336, Feb. 2014, doi: 10.1007/s00158-013-0972-z.
23.  P. Duda and M.W. Mrzygłód, “Shape and operation optimization of a thick-walled power boiler component,” in MATEC Web of Confer- ences, Nov. 2018, vol. 240, p. 05006, doi: 10.1051/matecconf/201824005006.
24.  T. Lewiński and G.I.N. Rozvany, “Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains,” Struct. Multidiscip. Optim., vol. 35, no. 2, pp. 165–174, Feb. 2008, doi: 10.1007/s00158-007-0157-8.
25.  N. Olhoff, J. Rasmussen, and M.P. Bendsøe, “On CADIntegrated Structural Topology and Design Optimization,” in Evaluation of Global Bearing Capacities of Structures, Vienna: Springer Vienna, 1993, pp. 255–280.
26.  A.G.M. Michell, “LVIII. The limits of economy of material in frame-structures,” London, Edinburgh, Dublin Philos. Mag. J. Sci., vol. 8, no. 47, pp. 589–597, 1904, doi: 10.1080/14786440409463229.

Date

19.10.2021

Type

Article

Identifier

DOI: 10.24425/bpasts.2021.139317