Topology Optimization Considering Porosity Defects in Metal Additive Manufacturing
Source abstract
Abstract
In this paper, considering the porosity defects of Additive Manufacturing (AM), a level set topology optimization method for AM with porosity constraints is proposed. The concept of topological sensitivity is used to formulate a global porosity constraint function in the proposed method, and a level set topology optimization model considering porosity defects is obtained. To improve the robustness of the algorithm, the topology optimization model is solved in two phases. At first, the classical level set method without the porosity constraint is used to initially optimize the structure. During this process, the hole nucleation method combining bi-directional evolutionary structural optimization (BESO) and the topological sensitivity is used. Secondly, the topology optimization considering the effects of porosity is implemented on the preliminary optimization results. After performing the two-step optimization, a robust structure that alleviates the harmful impact of porosity defects is obtained. Finally, the robustness and effectiveness of the proposed method are validated by several two-dimensional numerical examples.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Topology Optimization in Engineering · Advanced Multi-Objective Optimization Algorithms · Additive Manufacturing and 3D Printing Technologies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Institute of Advanced Manufacturing and Automation Technology, College of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
References (50)
Show source-provided references
1. Allaire, G., and Jouve, F. (1999). Structural Optimization by the Homogenization Method, Springer.10.1007/978-94-011-4738-5_35 ↗
2. Generating optimal topologies in structural design using a homogenization method10.1016/0045-7825(88)90086-2 ↗
3. Shape optimization of structures for multiple loading conditions using a homogenization method10.1007/BF01894077 ↗
4. A homogenization method for shape and topology optimization10.1016/0045-7825(91)90245-2 ↗
5. Structural optimization in magnetic fields using the homogenization design method—Part I10.1007/BF02743738 ↗
6. Material interpolation schemes in topology optimization10.1007/s004190050248 ↗
7. Sufficiency of a finite exponent in SIMP (power law) methods10.1007/s001580050180 ↗
8. A 99 line topology optimization code written in Matlab10.1007/s001580050176 ↗
9. An alternative interpolation scheme for minimum compliance topology optimization10.1007/s001580100129 ↗
10. Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method10.1016/j.finel.2007.06.006 ↗
11. A new look at ESO and BESO optimization methods10.1007/s00158-007-0140-4 ↗
12. Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review10.1007/s11831-016-9203-2 ↗
13. A simple evolutionary procedure for structural optimization10.1016/0045-7949(93)90035-C ↗
14. Bidirectional Evolutionary Method for Stiffness Optimization10.2514/2.626 ↗
15. Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons10.1016/j.cma.2016.07.018 ↗
16. Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework10.1115/1.4027609 ↗
17. Minimum length scale control in structural topology optimization based on the Moving Morphable Components (MMC) approach10.1016/j.cma.2016.08.022 ↗
18. A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model10.1007/s00158-015-1372-3 ↗
19. A level-set method for shape optimization10.1016/S1631-073X(02)02412-3 ↗
20. Structural optimization using sensitivity analysis and a level-set method10.1016/j.jcp.2003.09.032 ↗
21. A discrete level-set topology optimization code written in matlab10.1007/s00158-009-0430-0 ↗
22. Matlab code for a level set-based topology optimization method using a reaction diffusion equation10.1007/s00158-014-1190-z ↗
23. Structural Boundary Design via Level Set and Immersed Interface Methods10.1006/jcph.2000.6581 ↗
24. Level-set methods for structural topology optimization: A review10.1007/s00158-013-0912-y ↗
25. A level set method for structural topology optimization10.1016/S0045-7825(02)00559-5 ↗
26. Calleja-Ochoa, A., Gonzalez-Barrio, H., Lopez de Lacalle, N., Martinez, S., Albizuri, J., and Lamikiz, A. (2021). A New Approach in the Design of Microstructured Ultralight Components to Achieve Maximum Functional Performance. Materials, 14.10.3390/ma14071588 ↗
27. Reducing porosity in AlSi10Mg parts processed by selective laser melting10.1016/j.addma.2014.08.001 ↗
28. In situ defect detection in selective laser melting via full-field infrared thermography
29. Gong, H., Rafi, H., Nadimpalli, K., Starr, T., and Stucker, B. (2013, January 12–14). Defect Morphology in Ti-6Al-4V Parts Fabricated by Selective Laser Melting and Electron Beam Melting. Proceedings of the 24th Annual International Solid Freeform Fabrication Symposium, Austin, TX, USA.
30. Influence of defects on mechanical properties of Ti–6Al–4V components produced by selective laser melting and electron beam melting10.1016/j.matdes.2015.07.147 ↗
31. Densification behavior, microstructure evolution, and wear performance of selective laser melting processed commercially pure titanium10.1016/j.actamat.2012.04.006 ↗
32. 316L Stainless Steel with Gradient Porosity Fabricated by Selective Laser Melting10.1007/s11665-009-9535-2 ↗
33. The Effect of Manufacturing Defects on the Fatigue Behaviour of Ti-6Al-4V Specimens Fabricated Using Selective Laser Melting10.4028/www.scientific.net/AMR.891-892.1519 ↗
34. Recent research and development status of laser cladding: A review10.1016/j.optlastec.2021.106915 ↗
35. Feed rate calculation algorithm for the homogeneous material deposition of blisk blades by 5-axis laser cladding10.1007/s00170-014-6057-3 ↗
36. Analysis of defect generation in Ti–6Al–4V parts made using powder bed fusion additive manufacturing processes
37. Microstructure and tensile properties of selectively laser-melted and of HIPed laser-melted Ti–6Al–4V10.1016/j.msea.2013.04.099 ↗
38. A study of the microstructural evolution during selective laser melting of Ti–6Al–4V10.1016/j.actamat.2010.02.004 ↗
39. As-Fabricated and Heat-Treated Microstructures of the Ti-6Al-4V Alloy Processed by Selective Laser Melting10.1007/s11661-011-0731-y ↗
40. Epitaxial laser metal forming: Analysis of microstructure formation10.1016/S0921-5093(99)00202-6 ↗
41. In situ quality control of the selective laser melting process using a high-speed, real-time melt pool monitoring system10.1007/s00170-014-6214-8 ↗
42. Structural optimization using topological and shape sensitivity via a level set method
43. Incorporating topological derivatives into shape derivatives based level set methods10.1016/j.jcp.2007.01.003 ↗
44. Stable hole nucleation in level set based topology optimization by using the material removal scheme of BESO10.1016/j.cma.2018.09.002 ↗
45. A filter-based level set topology optimization method using a 62-line MATLAB code10.1007/s00158-020-02540-4 ↗
46. Differentiation with Respect to the Domain in Boundary Value Problems10.1080/01630563.1980.10120631 ↗
47. Topological sensitivity analysis of inclusion in two-dimensional linear elasticity10.1016/j.enganabound.2007.12.007 ↗
48. Topological sensitivity analysis10.1016/S0045-7825(02)00599-6 ↗
49. Structural optimization under internal porosity constraints using topological derivatives10.1016/j.cma.2018.10.036 ↗
50. Thickness control in structural optimization via a level set method10.1007/s00158-016-1453-y ↗