Corner-sharing tetrahedra for modeling micro-structure. (September 2019)

• Record Type: Journal Article
• Authors: Sitharam, Meera; Youngquist, Jeremy; Nolan, Maxwell; Peters, Jörg
• Is Part Of: Computer aided design. Volume 114(2019)
• Page Start: 164
• Page End: 178
• Publication Date: 2019-09
• Subjects: Corner-sharing tetrahedra -- Geometric constraint systems -- Rigidity of frameworks -- Isostatic -- Metamaterial -- Micro-structure; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2019.05.015
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: This paper introduces Corner-Sharing Tetrahedra (CoSTs), a minimalist, constraint-graph representation of micro-structure. CoSTs have built-in structural guarantees, such as connectivity and minimal rigidity. CoSTs form a space, fully accessible via local operations, that is rich enough to design regular or irregular micro-structure at multiple scales within curved objects. All operations are based on efficient local graph manipulation, which also enables efficient analysis and adjustment of static physical properties. Geometric and material detail, parametric or solid splines, can be added locally, on-demand, for example, for printing. Highlights: Corner-Sharing Tetrahedra (CoSTs) a graph-based model of micro-structure. CoSTs have built-in structural guarantees, such as connectivity and minimal rigidity. The rich space of CoST allows designing micro-structure at multiple scales within curved objects. CoSTs support efficient analysis and adjustment of static physics. Geometric and material detail, parametric or solid splines are added locally, on-demand.