2019
DOI: 10.1111/cgf.13791
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Structural Design Using Laplacian Shells

Abstract: We introduce a method to design lightweight shell objects that are structurally robust under the external forces they may experience during use. Given an input 3D model and a general description of the external forces, our algorithm generates a structurally‐sound minimum weight shell object. Our approach works by altering the local shell thickness repeatedly based on the stresses that develop inside the object. A key issue in shell design is that large thickness values might result in self‐intersections on the… Show more

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Cited by 7 publications
(3 citation statements)
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“…Existing methods include the density-based approaches such as the solid isotropic material with penalization (SIMP) method [1][2][3][4][5][6][7][8][9][10], grid-based approaches [11][12][13][14][15][16], moving boundary-based approaches [17][18][19][20][21][22][23][24][25], load-path-based approaches [26][27][28], and optimal partitioning approaches [29][30][31]. Although significant efforts have been made to improve solution efficiency, topology optimization methods remain to be computationally demanding and are not readily suited to be used inside other design optimization modules such as layout or configuration design tools [25,32,33].…”
Section: Introductionmentioning
confidence: 99%
“…Existing methods include the density-based approaches such as the solid isotropic material with penalization (SIMP) method [1][2][3][4][5][6][7][8][9][10], grid-based approaches [11][12][13][14][15][16], moving boundary-based approaches [17][18][19][20][21][22][23][24][25], load-path-based approaches [26][27][28], and optimal partitioning approaches [29][30][31]. Although significant efforts have been made to improve solution efficiency, topology optimization methods remain to be computationally demanding and are not readily suited to be used inside other design optimization modules such as layout or configuration design tools [25,32,33].…”
Section: Introductionmentioning
confidence: 99%
“…Laplacian shells were used to optimize structural properties such as strength, stiffness, and weight reduction [22]. Their method modifies the thickness of certain regions, smooths sharp edges, and modifies the overall shape, improving structural properties.…”
Section: Thin Shell Manufacturingmentioning
confidence: 99%
“…Recent advances in additive manufacturing technologies have triggered the development of powerful design methodologies allowing designers to create highly complex functional parts [1,2,3,4,5]. Many such methods often operate under the assumption that any designed shape can be fabricated using a 3D printer and the resulting part matches the designed shape perfectly or with negligible errors.…”
Section: Introductionmentioning
confidence: 99%