{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T04:46:21Z","timestamp":1781930781541,"version":"3.54.5"},"reference-count":0,"publisher":"IOS Press","isbn-type":[{"value":"9781643684406","type":"print"},{"value":"9781643684413","type":"electronic"}],"license":[{"start":{"date-parts":[[2023,11,7]],"date-time":"2023-11-07T00:00:00Z","timestamp":1699315200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,11,7]]},"abstract":"<jats:p>It is well acknowledged that DfAM requires a comprehensive understanding of materials, processes and parameters, and the associated geometric opportunities and limitations. The holistic knowledge required for efficient DfAM poses a major challenge to the progression of industrial applications of additive manufacturing (AM). Whilst AM offers enhanced geometric freedom during the design process, the psychological inertia of long-standing subtractive approaches is retained in the design thinking of the engineering community and inherent in computer aided design (CAD). To create an axisymmetric form about a curved axis defined in 3D-space, the traditional method enabled by CAD is to define a centreline and\/or a series of cross-sections. However, this process is constrained by the planar nature of the sketch function and can be highly time-consuming. This paper proposes a novel approach, using a mathematical framework that has proved useful in the modelling of living tissue, to enable the parametric design of axisymmetric forms. The mathematical methodologies will be presented as follows: a length-polar-projection description of the centreline and specification of the axisymmetric cross-sections. This transdisciplinary approach was developed between the disciplines of mathematics, biology and engineering. As such, it offers a completely novel, more efficient and insightful process than current commercial approaches. The results of this study offer two contributions to research knowledge: time-efficient, parametric generation of complex axisymmetric geometries defined in 3D and a process by which to upskill knowledge of the design engineer.<\/jats:p>","DOI":"10.3233\/atde230601","type":"book-chapter","created":{"date-parts":[[2023,11,10]],"date-time":"2023-11-10T11:20:38Z","timestamp":1699615238000},"source":"Crossref","is-referenced-by-count":3,"title":["A Bio-Inspired Mathematical Approach to Design for Additive Manufacturing"],"prefix":"10.3233","author":[{"given":"G.J.","family":"Luo","sequence":"first","affiliation":[{"name":"School of Mathematics, University of Birmingham, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.J.","family":"Dyson","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Birmingham, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.E.J.","family":"Thomas-Seale","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, School of Engineering, University of Birmingham, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"7437","container-title":["Advances in Transdisciplinary Engineering","Leveraging Transdisciplinary Engineering in a Changing and Connected World"],"original-title":[],"link":[{"URL":"https:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/ATDE230601","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,10]],"date-time":"2023-11-10T11:20:40Z","timestamp":1699615240000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/ATDE230601"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,7]]},"ISBN":["9781643684406","9781643684413"],"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/atde230601","relation":{},"ISSN":["2352-751X","2352-7528"],"issn-type":[{"value":"2352-751X","type":"print"},{"value":"2352-7528","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,7]]}}}