2016, Volume 2, Issue 2
Engineering >> 2016, Volume 2, Issue 2 doi: 10.1016/J.ENG.2016.02.006
Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load
Section of Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark, Lyngby DK-2800, Denmark
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Abstract
Additive manufacturing (AM) permits the fabrication of functionally optimized components with high geometrical complexity. The opportunity of using porous infill as an integrated part of the manufacturing process is an example of a unique AM feature. Automated design methods are still incapable of fully exploiting this design freedom. In this work, we show how the so-called coating approach to topology optimization provides a means for designing infill-based components that possess a strongly improved buckling load and, as a result, improved structural stability. The suggested approach thereby addresses an important inadequacy of the standard minimum compliance topology optimization approach, in which buckling is rarely accounted for; rather, a satisfactory buckling load is usually assured through a post-processing step that may lead to sub-optimal components. The present work compares the standard and coating approaches to topology optimization for the MBB beam benchmark case. The optimized structures are additively manufactured using a filamentary technique. This experimental study validates the numerical model used in the coating approach. Depending on the properties of the infill material, the buckling load may be more than four times higher than that of solid structures optimized under the same conditions.
Keywords
Additive manufacturing ; Infill ; Topology optimization ; Buckling
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References
[ 1 ] Clausen A, Aage N, Sigmund O. Topology optimization of coated structures and material interface problems. Comput Methods Appl Mech Eng 2015;290:524–41. link1
[ 2 ] Bendsøe MP, Sigmund O. Topology optimization: theory, methods and applications. 2nd ed. Berlin: Springer-Verlag; 2003.
[ 3 ] Lindgaard E, Dahl J. On compliance and buckling objective functions in topology optimization of snap-through problems. Struct Multidiscipl Optim 2013;47(3):409–21. link1
[ 4 ] Gao X, Ma H. Topology optimization of continuum structures under buckling constraints. Comput Struc 2015;157:142–52. link1
[ 5 ] Jansen M, Lombaert G, Schevenels M. Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis. Comput Methods Appl Mech Eng 2015;285:452–67. link1
[ 6 ] Dunning PD, Ovtchinnikov E, Scott J, Kim HA. Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver.?Int J Numer Methods Eng 2016. In press.
[ 7 ] Olhoff N, Bendsøe MP, Rasmussen J. On CAD-integrated structural topology and design optimization. Comput Methods Appl Mech Eng 1991;89(1−3): 259–79. link1
[ 8 ] Svanberg K. The method of moving asymptotes—a new method for structural optimization. Int J Numer Methods Eng 1987;24:359–73. link1
[ 9 ] Lazarov BS, Sigmund O. Filters in topology optimization based on Helmholtz-type differential equations. Int J Numer Methods Eng 2011;86:765–81. link1
[10] Guest JK, Prévost JH, Belytschko T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 2004;61:238-54. link1
[11] Sigmund O. Morphology-based black and white filters for topology optimization. Struct Multidiscipl Optim 2007;33(4):401–24. link1
[12] Xu S, Cai Y, Cheng G. Volume preserving nonlinear density filter based on heaviside functions. Struct Multidiscipl Optim 2010;41(4):495–505. link1
[13] Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. J Mech Phys Solids 1963;11(2):127–40. link1
[14] Sigmund O. A new class of extremal composites. J Mech Phys Solids 2000;48(2):397–428. link1
[15] Torquato S, Gibiansky LV, Silva MJ, Gibson LJ. Effective mechanical and transport properties of cellular solids. Int J Mech Sci 1998;40(1):71–82. link1
[16] Clausen A, Andreassen E, Sigmund O. Topology optimization for coated structures. In: Li Q, Steven GP, Zhang Z, editors Proceedings of the 11th World Congress on Structural and Multidisciplinary Optimization; 2015 Jun 7-12; Sydney, Australia; 2015. p. 25–30.
[17] Ahn SH, Montero M, Odell D, Roundy S, Wright PK. Anisotropic material properties of fused deposition modeling ABS. Rapid Prototyping J 2002;8(4):248–57. link1
[18] Cook RD, Malkus DS, Plesha ME, Witt RJ. Concepts and applications of finite element analysis. 4th ed. New York: John Wiley and Sons; 2002.
[19] Haghpanah B, Papadopoulos J, Mousanezhad D, Nayeb-Hashemi H, Vaziri A. Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state. Proc Math Phys Eng Sci 2014;470(2167):20130856. link1
[20] Fan H, Jin F, Fang D. Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state. Mater Des 2009;30(10):4136–45. link1
[21] Mae H, Omiya M, Kishimoto K. Comparison of mechanical properties of PP/SEBS blends at intermediate and high strain rates with SiO2?nanoparticles vs. CaCO3?fillers. J Appl Polym Sci 2008;110:1145–57. link1
[22] Gibson I, Rosen D, Stucker B. Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing. 2nd ed. New York: Springer; 2015.
[23] Panetta J, Zhou Q, Malomo L, Pietroni N, Cignoni P, Zorin D. Elastic textures for additive fabrication. ACM Trans Graph 2015;34(4):135:1–135:12. link1
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