https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Gross_et_al_2021aGross et al 2021a - Revision history2026-04-19T16:13:55ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Gross_et_al_2021a&diff=226900&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 912865308 to Gross et al 2021a2021-07-12T06:35:46Z<p>Scipediacontent moved page <a href="/public/Draft_Content_912865308" class="mw-redirect" title="Draft Content 912865308">Draft Content 912865308</a> to <a href="/public/Gross_et_al_2021a" title="Gross et al 2021a">Gross et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Gross_et_al_2021a&diff=226899&oldid=prevScipediacontent: Created page with "== Abstract == The nonlinear finite element method is a computational method in the variational simulation of material models for materials with and without microstructures [..."2021-07-12T06:35:43Z<p>Created page with "== Abstract == The nonlinear finite element method is a computational method in the variational simulation of material models for materials with and without microstructures [..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The nonlinear finite element method is a computational method in the variational simulation of material models for materials with and without microstructures [1]. Taking into account microstructures of engineering materials in their computational models is often worthwhile to improve numerical predictions [2]. An example is the modelling of fiber-reinforced materials, which are manufactured on the microscale by filaments or on the mesoscale by rovings, respectively. A macroscopic finite element simulation of both materials provides an anisotropic continuum model. However, fiber-reinforced materials based on rovings demand for continua with extended kinematics. A computational modelling of extended continua is possible by a mixed finite element method. In this contribution, we show the introduction of internal rotational degrees of freedom to model also a stiffness with respect to roving flexure and twist. Furthermore, a corresponding structure-preserving time integration is obtained. Numerical examples also demonstrate the additional continuum stiffness owing to the consideration of roving flexure and twist.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_912865308P_IDC13_323.pdf</pdf></div>Scipediacontent