تقرير
Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus
| العنوان: | Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus |
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| المؤلفون: | Sky, Adam, Hale, Jack S., Zilian, Andreas, Bordas, Stéphane P. A., Neff, Patrizio |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science, Mathematical Physics |
| الوصف: | We present an approach to the coupling of mixed-dimensional continua by employing the mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the model to lower dimensional domains leaves its fundamental degrees of freedom intact. Consequently, the degrees of freedom intrinsically agree even at the interface with a domain of a different dimensionality. Thus, this approach circumvents the need for intermediate finite elements or mortar methods. We introduce the derivations of all models of various dimensions using tangential differential calculus. The coupling itself is then achieved by defining a mixed-dimensional action functional with consistent Sobolev trace operators. Finally, we present numerical examples involving a three-dimensional silicone-rubber block reinforced with a curved graphite shell on its lower surface, a three-dimensional silver block reinforced with a graphite plate and beams, and lastly, intersecting silver shells reinforced with graphite beams. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.12515 |
| رقم الأكسشن: | edsarx.2407.12515 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |