Bi-directional evolutionary topology optimization of geometrically nonlinear 3D continuum structures with an additional displacement constraint
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Structural Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (39)
Show source-provided references
1. Allaire, G., Jouve, F., Toader, A.M.: Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194(1), 363–393 (2004)10.1016/j.jcp.2003.09.032 ↗
2. Bendsøe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71(2), 197–224 (1988)10.1016/0045-7825(88)90086-2 ↗
3. Bendsøe, M.P., Sigmund, O.: Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69, 635–654 (1999)10.1007/s004190050248 ↗
4. Bruns, T.E., Tortorelli, D.A.: An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms. Int. J. Numer. Meth. Eng. 57(10), 1413–1430 (2003)10.1002/nme.783 ↗
5. Buhl, T., Pedersen, C.B., Sigmund, O.: Stiffness design of geometrically nonlinear structures using topology optimization. Struct. Multidiscip. Optim. 19, 93–104 (2000)10.1007/s001580050089 ↗
6. Chen, Z., Long, K., Wang, X., Liu, J., Saeed, N.: A new geometrically nonlinear topology optimization formulation for controlling maximum displacement. Eng. Optim. 53(8), 1283–1297 (2021)10.1080/0305215X.2020.1781106 ↗
7. Deaton, J.D., Grandhi, R.V.: A survey of structural and multidisciplinary continuum topology optimization: post 2000. Struct. Multidiscip. Optim. 49, 1–38 (2014)10.1007/s00158-013-0956-z ↗
8. Ghasemi, H., Park, H.S., Rabczuk, T.: A level-set based IGA formulation for topology optimization of flexoelectric materials. Comput. Methods Appl. Mech. Eng. 313, 239–258 (2017)10.1016/j.cma.2016.09.029 ↗
9. Ghasemi, H., Park, H.S., Rabczuk, T.: A multi-material level set-based topology optimization of flexoelectric composites. Comput. Methods Appl. Mech. Eng. 332, 47–62 (2018)10.1016/j.cma.2017.12.005 ↗
10. Guo, X., Zhang, W., Zhong, W.: Doing topology optimization explicitly and geometrically—a new moving morphable components-based framework. J. Appl. Mech. 81(8), 081009 (2014)10.1115/1.4027609 ↗
11. Hamdia, K.M., Ghasemi, H., Zhuang, X., Rabczuk, T.: Multilevel Monte Carlo method for topology optimization of flexoelectric composites with uncertain material properties. Eng. Anal. Boundary Elem. 134, 412–418 (2022)10.1016/j.enganabound.2021.10.008 ↗
12. Han, Y., Xu, B., Duan, Z., Huang, X.: Controlling the maximum stress in structural stiffness topology optimization of geometrical and material nonlinear structures. Struct. Multidiscip. Optim. 64(6), 3971–3998 (2021a)10.1007/s00158-021-03072-1 ↗
13. Han, Y., Xu, B., Wang, Q., Liu, Y., Duan, Z.: Topology optimization of material nonlinear continuum structures under stress constraints. Comput. Methods Appl. Mech. Eng. 378, 113731 (2021b)10.1016/j.cma.2021.113731 ↗
14. Huang, X., Xie, Y.M.: Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elem. Anal. des. 43(14), 1039–1049 (2007a)10.1016/j.finel.2007.06.006 ↗
15. Huang, X., Xie, Y.M.: Bidirectional evolutionary topology optimization for structures with geometrical and material nonlinearities. AIAA J. 45(1), 308–313 (2007b)10.2514/1.25046 ↗
16. Huang, X., Xie, Y.M.: Topology optimization of nonlinear structures under displacement loading. Eng. Struct. 30(7), 2057–2068 (2008)10.1016/j.engstruct.2008.01.009 ↗
17. Huang, X., Xie, Y.M.: Evolutionary topology optimization of geometrically and materially nonlinear structures under prescribed design load. Struct. Eng. Mech., Int’l J. 34(5), 581–595 (2010a)10.12989/sem.2010.34.5.581 ↗
18. Huang, X., Xie, Y.M.: A further review of ESO type methods for topology optimization. Struct. Multidiscip. Optim. 41, 671–683 (2010b)10.1007/s00158-010-0487-9 ↗
19. Huang, X., Xie, Y.M.: Evolutionary topology optimization of continuum structures with an additional displacement constraint. Struct. Multidiscip. Optim. 40, 409–416 (2010c)10.1007/s00158-009-0382-4 ↗
20. Huang, X., Xie, M.: Evolutionary topology optimization of continuum structures: methods and applications. John Wiley & Sons (2010d)10.1002/9780470689486 ↗
21. Huang, X., Li, Y., Zhou, S.W., Xie, Y.M.: Topology optimization of compliant mechanisms with desired structural stiffness. Eng. Struct. 79, 13–21 (2014)10.1016/j.engstruct.2014.08.008 ↗
22. Norato, J.A., Bendsøe, M.P., Haber, R.B., Tortorelli, D.A.: A topological derivative method for topology optimization. Struct. Multidiscip. Optim. 33, 375–386 (2007)10.1007/s00158-007-0094-6 ↗
23. Querin, O.M., Steven, G.P., Xie, Y.M.: Evolutionary structural optimization (ESO) using a bidirectional algorithm. Eng. Comput. 15(8), 1031–1048 (1998)10.1108/02644409810244129 ↗
24. Sigmund, O., Maute, K.: Topology optimization approaches: a comparative review. Struct. Multidiscip. Optim. 48(6), 1031–1055 (2013)10.1007/s00158-013-0978-6 ↗
25. Stolpe, M., Svanberg, K.: An alternative interpolation scheme for minimum compliance topology optimization. Struct. Multidiscip. Optim. 22, 116–124 (2001)10.1007/s001580100129 ↗
26. Takaki, T., Kato, J.: Phase-field topology optimization model that removes the curvature effects. Mech. Eng. J. 4(2), 16–00462 (2017)
27. Wang, M.Y., Zhou, S.: Phase field: a variational method for structural topology optimization. Comput. Model. Eng. Sci. 6(6), 547–566 (2004)
28. Wang, M.Y., Wang, X., Guo, D.: A level set method for structural topology optimization. Comput. Methods Appl. Mech. Eng. 192(1–2), 227–246 (2003)10.1016/S0045-7825(02)00559-5 ↗
29. Wang, F., Lazarov, B.S., Sigmund, O., Jensen, J.S.: Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems. Comput. Methods Appl. Mech. Eng. 276, 453–472 (2014)10.1016/j.cma.2014.03.021 ↗
30. Wei, P., Li, Z., Li, X., Wang, M.Y.: An 88-line MATLAB code for the parameterized level set method-based topology optimization using radial basis functions. Struct. Multidiscip. Optim. 58, 831–849 (2018)10.1007/s00158-018-1904-8 ↗
31. Xia, L., Xia, Q., Huang, X., Xie, Y.M.: Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Arch. Comput. Methods Eng. 25, 437–478 (2018)10.1007/s11831-016-9203-2 ↗
32. Xie, Y.M., Steven, G.P.: A simple evolutionary procedure for structural optimization. Comput. Struct. 49(5), 885–896 (1993)10.1016/0045-7949(93)90035-C ↗
33. Xu, B., Han, Y., Zhao, L.: Bi-directional evolutionary topology optimization of geometrically nonlinear continuum structures with stress constraints. Appl. Math. Model. 80, 771–791 (2020)10.1016/j.apm.2019.12.009 ↗
34. Xu, B., Han, Y., Zhao, L.: Bi-directional evolutionary stress-based topology optimization of material nonlinear structures. Struct. Multidiscip. Optim. 63, 1287–1305 (2021)10.1007/s00158-020-02757-3 ↗
35. Zhang, Z., Zhao, Y., Du, B., Chen, X., Yao, W.: Topology optimization of hyperelastic structures using a modified evolutionary topology optimization method. Struct. Multidiscip. Optim. 62, 3071–3088 (2020)10.1007/s00158-020-02654-9 ↗
36. Zhou, M., Rozvany, G.I.: The COC algorithm, Part II: Topological, geometrical and generalized shape optimization. Comput. Methods Appl. Mech. Eng. 89(1–3), 309–336 (1991)10.1016/0045-7825(91)90046-9 ↗
37. Zhu, B., Zhang, X., Zhang, H., Liang, J., Zang, H., Li, H., Wang, R.: Design of compliant mechanisms using continuum topology optimization: a review. Mech. Mach. Theory 143, 103622 (2020)10.1016/j.mechmachtheory.2019.103622 ↗
38. Zuo, Z.H., Xie, Y.M.: Evolutionary topology optimization of continuum structures with a global displacement control. Comput. Aided des. 56, 58–67 (2014)10.1016/j.cad.2014.06.007 ↗
39. Zuo, Z.H., Xie, Y.M.: A simple and compact Python code for complex 3D topology optimization. Adv. Eng. Softw. 85, 1–11 (2015)10.1016/j.advengsoft.2015.02.006 ↗