@article{8f58a32060df486296620c7b29845a7a,
title = "Enumeration of additive manufacturing toolpaths using Hamiltonian paths",
abstract = "Toolpath choice in metal-based additive manufacturing (AM) affects local thermal environment. We use Hamiltonian paths to systematically enumerate time- and space-continuous toolpaths on example n × n grid geometries. This framework broadens the toolpath design space by establishing a finite and searchable number of AM toolpaths for any discretized geometry. We characterize toolpaths by extracting toolpath internal structures, e.g., the number of corners and pairs of parallel tracks. The enumerated toolpaths serve as an input to thermal simulations to obtain solidification cooling rate statistics, which strongly correlate to the number of internal structures. Hence, toolpath can be linked to microstructural predictions.",
keywords = "Additive manufacturing, Cooling rates, Graph theory, Microstructure, Toolpath",
author = "Puikei Cheng and Liu, {Wing Kam} and Kornel Ehmann and Jian Cao",
note = "Funding Information: The authors acknowledge support by the National Institute of Standards and Technology (NIST) – Center for Hierarchical Material Design (ChiMaD) under grant No. 70NANB14H012 and the National Science Foundation (NSF) – Cyber-Physical Systems (CPS) under grant No. CPS/CMMI-1646592 . The authors would also like to thank Stephen Lin and Kevontrez Jones from Northwestern University for providing technical expertise on thermal simulations. Funding Information: The authors acknowledge support by the National Institute of Standards and Technology (NIST) ? Center for Hierarchical Material Design (ChiMaD) under grant No. 70NANB14H012 and the National Science Foundation (NSF) ? Cyber-Physical Systems (CPS) under grant No. CPS/CMMI-1646592. The authors would also like to thank Stephen Lin and Kevontrez Jones from Northwestern University for providing technical expertise on thermal simulations. Publisher Copyright: {\textcopyright} 2020 Society of Manufacturing Engineers (SME)",
year = "2020",
month = oct,
doi = "10.1016/j.mfglet.2020.09.008",
language = "English (US)",
volume = "26",
pages = "29--32",
journal = "Manufacturing Letters",
issn = "2213-8463",
publisher = "Society of Manufacturing Engineers",
}