Topology Optimization of Infill Structures for Additive Manufacturing Considering Structural Strength

doi:10.16183/j.cnki.jsjtu.2022.333

Abstract

Abstract:

A topology optimization approach is proposed to design lightweight and high-strength porous infill structures for additive manufacturing. The maximum stress approximated by the p-norm function is minimized to enhance the structural strength. A local volume constraint is utilized to generate porous infill pattern. A continuation strategy on the upper bound of the local volume fraction is proposed to improve the stability of the optimization process and avoid the sharp rising of stress. An overhang constraint is utilized to make sure that the optimized infill structures are self-supporting and can support the given shell. Besides, two-field-based topology optimization formulations are used to ensure that the optimized infill structures satisfy the minimum length scale for additive manufacturing. The numerical results show that the optimized infill structures can significantly improve the structural strength compared with the optimized design of compliance minimization problem at the same weight. A compliance constraint is further imposed in the optimization model and the relation between stiffness and strength of the infill structures is also discussed.

Key words: infill structures strength, topology optimization, additive manufacturing, p-norm stress

CLC Number:

TH122

WANG Chen, LIU Yichang, LU Yufan, LAI Zhanglong, ZHOU Mingdong. Topology Optimization of Infill Structures for Additive Manufacturing Considering Structural Strength[J]. Journal of Shanghai Jiao Tong University, 2024, 58(3): 333-341.

Figures/Tables 11

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References 24

[1]	CLAUSEN A, AAGE N, SIGMUND O. Exploiting additive manufacturing infill in topology optimization for improved buckling load[J]. Engineering, 2016, 2(2): 250-257. doi: 10.1016/J.ENG.2016.02.006 URL
[2]	WU J, AAGE N, WESTERMANN R, et al. Infill optimization for additive manufacturing-approaching bone-like porous structures[J]. IEEE Transactions on Visualization and Computer Graphics, 2018, 24(2): 1127-1140. doi: 10.1109/TVCG.2945 URL
[3]	BRUGGI M, DUYSINX P. Topology optimization for minimum weight with compliance and stress constraints[J]. Structural and Multidisciplinary Optimization, 2012, 46: 369-384. doi: 10.1007/s00158-012-0759-7 URL
[4]	WANG M, LI L. Shape equilibrium constraint: A strategy for stress-constrained structural topology optimization[J]. Structural and Multidisciplinary Optimization, 2013, 47: 335-352. doi: 10.1007/s00158-012-0846-9 URL
[5]	LEE K, AHN K, YOO J. A novel p-norm correction method for lightweight topology optimization under maximum stress constraints[J]. Computers and Structures, 2016, 171: 18-30. doi: 10.1016/j.compstruc.2016.04.005 URL
[6]	KHAN SA, SIDDIQUI BA, FAHAD M, et al. Evaluation of the effect of infill pattern on mechanical strength of additively manufactured specimen[J]. Materials Science Forum, 2017, 887: 128-132. doi: 10.4028/www.scientific.net/MSF.887 URL
[7]	LIU Y, ZHOU M, WEI C, et al. Topology optimization of self-supporting infill structures[J]. Structural and Multidisciplinary Optimization, 2021, 63: 2289-2304. doi: 10.1007/s00158-020-02805-y
[8]	QIU W, JIN P, JIN S, et al. An evolutionary design approach to shell-infill structures[J]. Additive Manufacturing, 2020, 34: 101382. doi: 10.1016/j.addma.2020.101382 URL
[9]	GROEN J P, WU J, SIGMUND O. Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill[J]. Computer Methods in Applied Mechanics and Engineering, 2019, 349: 722-742. doi: 10.1016/j.cma.2019.02.031 URL
[10]	WADBRO E, NIU B. Multiscale design for additive manufactured structures with solid coating and periodic infill pattern[J]. Computer Methods in Applied Mechanics and Engineering, 2019, 357: 112605. doi: 10.1016/j.cma.2019.112605 URL
[11]	WU J, CLAUSEN A, SIGMUND O. Minimum compliance topology optimization of shell-infill composites for additive manufacturing[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 326: 358-375. doi: 10.1016/j.cma.2017.08.018 URL
[12]	ZHOU M, LU Y, LIU Y, et al. Concurrent topology optimization of shells with self-supporting infills for additive manufacturing[J]. Computer Methods in Applied Mechanics and Engineering, 2022, 390: 114430. doi: 10.1016/j.cma.2021.114430 URL
[13]	DUYSINX P, BENDSØE M. Topology optimization of continuum structures with local stress constraints[J]. International Journal for Numerical Methods in Engineering, 1998, 43(8): 1453-1478. doi: 10.1002/(ISSN)1097-0207 URL
[14]	LE C, NORATO J, BRUNS T, et al. Stress-based topology optimization for continua[J]. Structural and Multidisciplinary Optimization, 2010, 41(4): 605-620. doi: 10.1007/s00158-009-0440-y URL
[15]	CHENG G, GUO X. Epsilon-relaxed approach in structural topology optimization[J]. Structural and Multidisciplinary Optimization, 1997, 13(4): 258-266.
[16]	BRUGGI M. On an alternative approach to stress constraints relaxation in topology optimization[J]. Structural and Multidisciplinary Optimization, 2008, 36(2): 125-141. doi: 10.1007/s00158-007-0203-6 URL
[17]	YANG R, CHEN C. Stress-based topology optimization[J]. Structural and Multidisciplinary Optimization, 1996, 12(2): 98-105.
[18]	FAN Z, XIA L, LAI W, et al. Evolutionary topology optimization of continuum structures with stress constraints[J]. Structural and Multidisciplinary Optimization, 2019, 59(2): 647-658. doi: 10.1007/s00158-018-2090-4
[19]	YU H, HUANG J, ZOU B, et al. Stress-constrained shell lattice infill structural optimisation for additive manufacturing[J]. Virtual and Physical Prototyping, 2020, 15(1): 35-48. doi: 10.1080/17452759.2019.1647488 URL
[20]	BRUNS T, TORTORELLI D. Topology optimization of non-linear elastic structures and compliant mechanisms[J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190(26): 3443-3459. doi: 10.1016/S0045-7825(00)00278-4 URL
[21]	WANG F, LAZAROV B, SIGMUND O. On projection methods, convergence and robust formulations in topology optimization[J]. Computer Methods in Applied Mechanics and Engineering, 2011, 43(6): 767-784.
[22]	MATTHIJS L. An additive manufacturing filter for topology optimization of print-ready designs[J]. Structural and Multidisciplinary Optimization, 2017, 55(3): 871-883. doi: 10.1007/s00158-016-1522-2 URL
[23]	LAZAROV B, WANG F, SIGMUND O. Length scale and manufacturability in density-based topology optimization[J]. Archive of Applied Mechanics, 2016, 86(1): 189-218. doi: 10.1007/s00419-015-1106-4 URL
[24]	KRISTER S. The method of moving asymptotes—A new method for structural optimization[J]. International Journal for Numerical Methods in Engineering, 1987, 24(2): 359-373. doi: 10.1002/nme.v24:2 URL