A fabrication-oriented remeshing method for auxetic pattern extraction

Mert, Levend Mehmet
Yaman, Ulaş
Sahillioğlu, Yusuf
We propose a method for extracting auxetic patterns from meshes for fabrication by modifying the existing mesh primitives directly and fully automatically. This direct approach is novel in the sense that most of the fabrication-oriented surface tiling methods introduce additional primitives, such as curve networks in an interactive semiautomatic framework. Our method is based on a remeshing procedure that converts a given quad mesh with arbitrary topology into our desired structure that is ready to be fabricated. The main advantages of establishing auxetic patterns on meshes are the achieved flexibility using cheap inflexible materials as well as less material usage and fabrication time, as demonstrated in our results.


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We introduce the locally-conformal perfectly matched layer (PML) approach, which is an easy and straightforward PML implementation, to the problem of mesh truncation in the finite element method (FEM). This method is based on a locally-defined complex coordinate transformation which has no explicit dependence on the differential geometric characteristics of the PML-free space interface. As a result, it is possible to handle challenging PML geometries with interfaces having arbitrary curvature, especially th...
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Locally-conformal perfectly matched layer implementation for finite element mesh truncation
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2006-09-01)
In this article, we introduce the locally conformal perfectly matched layer (PML) technique, which is an easily implementable conformal PML implementation, obtained via complex coordinate transformation, for the purpose of mesh truncation in the finite element method. After deriving the governing equations, we test this technique using electromagnetic scattering problems. (C) 2006 Wiley Periodicals, Inc.
Citation Formats
L. M. Mert, U. Yaman, and Y. Sahillioğlu, “A fabrication-oriented remeshing method for auxetic pattern extraction,” TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, pp. 1535–1548, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47053.