| Autor: |
D. M. Neto, M. C. Oliveira, J. L. Alves, L. F. Menezes, F. Barlat, Y. H. Moon, M. G. Lee |
| Rok vydání: |
2010 |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings. |
| ISSN: |
0094-243X |
| DOI: |
10.1063/1.3457593 |
| Popis: |
Surface description accuracy is of paramount importance when modeling contact problems. However, most finite element method (FEM) researchers still resort to polyhedral models to describe contact surfaces, which can oversimplify the original system by neglecting the curvature. A simple algorithm for interpolating discretized surfaces and recover the original geometry was recently proposed by Nagata [1]. The main idea behind this parametric surface description (subsequently named Nagata patch) is the quadratic interpolation of a curved segment, from the position and normal vectors at the end points. The curved segment is used to recover the curvature of triangular or quadrilateral patches, defined by the vertices of the polyhedral mesh. This paper presents a study concerning the use of Nagata patches to local interpolate tools surface either defined by analytical functions or polyhedral models. The use of triangular or quadrilateral Nagata patches is compared, both in terms of efficiency and robustness of the local interpolation algorithm. Different strategies to approximate the tools normal defined by polyhedral models are presented and the error in the local interpolation is evaluated. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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