https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Mang_et_al_2021aMang et al 2021a - Revision history2026-04-22T18:56:51ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Mang_et_al_2021a&diff=227026&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 890933623 to Mang et al 2021a2021-07-12T06:40:08Z<p>Scipediacontent moved page <a href="/public/Draft_Content_890933623" class="mw-redirect" title="Draft Content 890933623">Draft Content 890933623</a> to <a href="/public/Mang_et_al_2021a" title="Mang et al 2021a">Mang et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Mang_et_al_2021a&diff=227025&oldid=prevScipediacontent: Created page with "== Abstract == The present work aims at handling uncertain materials in shape and topology optimisation applied to additive manufacturing. More specifically, we minimise an o..."2021-07-12T06:40:06Z<p>Created page with "== Abstract == The present work aims at handling uncertain materials in shape and topology optimisation applied to additive manufacturing. More specifically, we minimise an o..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The present work aims at handling uncertain materials in shape and topology optimisation applied to additive manufacturing. More specifically, we minimise an objective function combining the mean values of standard cost functions and assume that the uncertainties are small and generated by two random variables. These two variables representing the amplitude of the Young's modulus correspond to the zone of porosity inclusion and surface roughness defects. A deterministic approach that relies on a secondorder Taylor expansion of the cost function has been proposed by Allaire &amp; Dapogny [2]. The present work proposes a general framework to handle uncertainties of the Young's modulus in which its amplitude is divided into N zones and then applied onto two zones corresponding to the porosity inclusion and surface roughness defects. We demonstrate the effectiveness of the approach in the context of the level-set-based topology optimisation for the robust compliance minimisation of three-dimensional cantilever test cases.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_890933623P_IDC13_809.pdf</pdf></div>Scipediacontent