A single surface contact algorithm for the post-buckling analysis of shell structures
Computer Methods in Applied Mechanics and Engineering
Computing vertex normals from polygonal facets
Journal of Graphics Tools
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Finite Elements in Analysis and Design
Continuous Shading of Curved Surfaces
IEEE Transactions on Computers
Computing vertex normals from arbitrary meshes
ISCGAV'09 Proceedings of the 9th WSEAS international conference on Signal processing, computational geometry and artificial vision
Simple local interpolation of surfaces using normal vectors
Computer Aided Geometric Design
A general 3D contact smoothing method based on radial point interpolation
Journal of Computational and Applied Mathematics
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The contact surface description is a very important field in the numerical simulation of problems involving frictional contact, which are among the most difficult ones in continuum mechanics, as is the case of sheet metal forming simulation. In this paper, a methodology to control the Nagata patch interpolation of piecewise linear meshes is proposed, in order to improve its applicability for tool surface description used in the numerical simulation of sheet metal forming processes. The interpolation can be applied either to triangular and quadrilateral Nagata patches, as well as structured and unstructured patches. The normal vectors needed for the Nagata interpolation are obtained through two distinct strategies. The first uses the information available in the CAD surface model, while the second resorts only to the piecewise linear mesh model information. In order to evaluate the interpolation accuracy, the Nagata patch is applied to describe a sheet metal forming complex shape part tool geometry. The results obtained show that, regardless of the strategy used to evaluate the surface normal vectors, the use of the proposed Nagata patch interpolation enables a large improvement in the geometric accuracy when compared with the models composed by piecewise linear elements. The use of CAD surface geometry to evaluate the surface normal vectors leads to the best Nagata patch interpolation in terms of shape and normal vector field accuracy.