دانلود رایگان مقاله طرح المان محدود مبتنی بر NURBS برای تحلیل حرارتی و طراحی مواد مرکب

Abstract

Motivated by recent advances in manufacturing techniques for high-temperature microvascular composites, a NURBS-based interface-enriched generalized finite element method (IGFEM) is developed to solve a simplified thermal model of microchannels embedded in the materials. This method is capable of handling curved and branched microchannels. Solutions more accurate than those achieved with the conventional finite element method can be obtained with coarse meshes that do not conform to the geometry of the microchannels. Near-optimal asymptotic convergence rate is also achieved with this method even for highly curved microchannels. The capability of the numerical scheme is demonstrated by solving problems with complex microchannel configurations.

6. Conclusions

The formulation and implementation of a NURBS-based IGFEM have been presented for the thermal analysis of a material containing curved microchannels based on a simplified model of the cooling or heating effect of the embedded network. The method is capable of preserving the exact geometrical description of the curved microchannels.It is also able to handle branching in the interior of an element. The enrichment functions are simply constructed from some of the basis functions of the NURBS description of the integration subdomains. It has been shown that NURBS-based IGFEM obtains close-to-optimal rate of convergence even for curved microchannel and is more accurate than SFEM for coarse meshes. The method was then applied to solve a number of problems with complex microchannel configurations. The ability of the method to provide a good approximation of the thermal field for complex microchannel networks with a relatively coarse non-conforming mesh is expected to be especially attractive in its 3D implementation currently under development.