2015
DOI: 10.1007/s12541-015-0330-8
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New paradigms in cellular material design and fabrication

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Cited by 35 publications
(9 citation statements)
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“…However, SF method cannot handle intricate and compound transition boundaries; this challenge is overcome by applying the Gaussian radial basis function, the volumetric distance field, or the beta growth function. The readers are encouraged to refer to Yeng et al [ 111 ] and Yoo and Kim [ 112 ] for the detailed mathematical application of these methods.…”
Section: Design and Performance Optimizationmentioning
confidence: 99%
“…However, SF method cannot handle intricate and compound transition boundaries; this challenge is overcome by applying the Gaussian radial basis function, the volumetric distance field, or the beta growth function. The readers are encouraged to refer to Yeng et al [ 111 ] and Yoo and Kim [ 112 ] for the detailed mathematical application of these methods.…”
Section: Design and Performance Optimizationmentioning
confidence: 99%
“…Methodologies, such as the image-based method [21,81], implicit function-based surface generation [82,83], space fitting curve [84], and CAD-based approach [85][86][87][88], are used to construct TPMS-based structures. In this work, implicit function-based surface generation was employed to generate P and G surfaces.…”
Section: Mathematical Description and Generation Of Tpms Unit Cellsmentioning
confidence: 99%
“…Several studies showed that sheet solid possess better mechanical properties than the network solids at the same volume fraction [95,102]. Design methodologies for modeling TPMS solids have been proposed in the literature [103,104,105], which mainly adopt volume representation (voxels or volumetric distance field) to describe the model. Last but not the least, with the help of multi-material technology, the field of metamaterials [6] has been extended from homogeneous to heterogeneous.…”
Section: Figure 5(a)mentioning
confidence: 99%