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Jul 6, 2018

Closure to “Macroelement and Macropatch Approaches to Structural Topology Optimization Using the Ground Structure Method” by Xiaojia Zhang, Sushant Maheshwari, Adeildo S. Ramos Jr., and Glaucio H. Paulino

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Publication: Journal of Structural Engineering
Volume 144, Issue 10
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References

Achtziger, W., and M. Stolpe. 2007. “Truss topology optimization with discrete design variables—Guaranteed global optimality and benchmark examples.” Struct. Multidiscip. Optim. 34 (1): 1–20. https://doi.org/10.1007/s00158-006-0074-2.
Beghini, L. L., J. Carrion, A. Beghini, A. Mazurek, and W. F. Baker. 2014. “Structural optimization using graphic statics.” Struct. Multidiscip. Optim. 49 (3): 351–366. https://doi.org/10.1007/s00158-013-1002-x.
Bendsøe, M. P., A. Ben-Tal, and J. Zowe. 1994. “Optimization methods for truss geometry and topology design.” Struct. Optim. 7 (3): 141–159. https://doi.org/10.1007/BF01742459.
Bendsøe, M. P., and O. Sigmund. 2003. Topology optimization: Theory, methods, and applications. Berlin: Springer.
Ben-Tal, A., and M. P. Bendsøe. 1993. “A new method for optimal truss topology design.” SIAM J. Optim. 3 (2): 322–358. https://doi.org/10.1137/0803015.
Frey, P. J., and P. L. George. 2008. Mesh generation: Application to finite elements. London: ISTE.
Hemp, W. S. 1973. Optimum structures. Oxford, UK: Clarendon Press.
Hormann, K., and N. Sukumar. 2018. Generalized barycentric coordinates in computer graphics and computational mechanics. Boca Raton, FL: CRC Press.
Kwak, H. G., and S. H. Noh. 2006. “Determination of strut-and-tie models using evolutionary structural optimization.” Eng. Struct 28 (10): 1440–1449. https://doi.org/10.1016/j.engstruct.2006.01.013.
Liang, Q. Q. 2005. Performance-based optimization of structures: Theory and applications. Boca Raton, FL: CRC Press.
Michell, A. G. M. 1904. “The limits of economy of material in frame-structures.” Philos. Mag. 8 (47): 589–597. https://doi.org/10.1080/14786440409463229.
Ohsaki, M. 2010. Optimization of finite dimensional structures. Boca Raton, FL: CRC Press.
Paulino, G. H. 2018. “Professor Paulino’s website.” Accessed June 25, 2018. http://ghpaulino.com.
Rozvany, G. I. N. 1998. “Exact analytical solutions for some popular benchmark problems in topology optimization.” Struct. Optim. 15 (1): 42–48. https://doi.org/10.1007/BF01197436.
Sokół, T. 2010. “A 99 line code for discretized Michell truss optimization written in Mathematica.” Struct. Multidiscip. Optim. 43 (2): 181–190. https://doi.org/10.1007/s00158-010-0557-z.
Talischi, C., G. H. Paulino, A. Pereira, and I. F. M. Menezes. 2012. “PolyMesher: A general-purpose mesh generator for polygonal elements written in MATLAB.” Struct. Multidiscip. Optim. 45 (3): 309–328. https://doi.org/10.1007/s00158-011-0706-z.
Zegard, T. 2014. “Structural optimization: from continuum and ground structures to additive manufacturing.” Ph.D. dissertation, Univ. of Illinois at Urbana–Champaign.
Zegard, T., and G. H. Paulino. 2014. “GRAND—Ground structure based topology optimization on arbitrary 2D domains using MATLAB.” Struct. Multidiscip. Optim. 50 (5): 861–882. https://doi.org/10.1007/s00158-014-1085-z.
Zegard, T., and G. H. Paulino. 2015. “GRAND3—Ground structure based topology optimization for arbitrary 3D domains using MATLAB.” Struct. Multidiscip. Optim. 52 (6): 1161–1184. https://doi.org/10.1007/s00158-015-1284-2.
Zhang, X., S. Maheshwari, A. S. Ramos Jr., and G. H. Paulino. 2016. “Macroelement and macropatch approaches to structural topology optimization using the ground structure method.” J. Struct. Eng. 142 (11): 04016090. https://doi/10.1061/(ASCE)ST.1943-541X.0001524.
Zhong, J., L. Wang, Y. Li, and M. Zhou. 2017. “A practical approach for generating the strut-and-tie models of anchorage zones.” J. Bridge Eng. 22 (4): 04016134. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001013.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 144Issue 10October 2018

History

Received: Mar 8, 2018
Accepted: Apr 13, 2018
Published online: Jul 6, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 6, 2018

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Authors

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Xiaojia Shelly Zhang, S.M.ASCE [email protected]
Ph.D. Candidate, School of Civil and Environmental Engineering, Georgia Institute of Technology, 790 Atlantic Dr. NW, Atlanta, GA 30318. Email: [email protected]
Sushant Maheshwari
Senior Structural Engineer, Thornton Tomasetti, 707 Wilshire Blvd. #4450, Los Angeles, CA 90017.
Adeildo S. Ramos Jr. [email protected]
Associate Professor, Laboratory of Scientific Computing and Visualization Technology Center, Federal Univ. of Alagoas, Maceió, Alagoas 57092-970, Brazil. Email: [email protected]
Glaucio H. Paulino, M.ASCE [email protected]
Raymond Allen Jones Chair and Professor, School of Civil and Environmental Engineering, Georgia Institute of Technology, 790 Atlantic Dr. NW, Atlanta, GA 30318 (corresponding author). Email: [email protected]

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