Beyond developable

Abstract

Introducing a regular pattern of slits turns inextensible, but flexible sheet material into an auxetic material that can locally expand in an approximately uniform way. This modified deformation behavior allows the material to assume complex double-curved shapes. The shoe model has been fabricated from a single piece of metallic material using a new interactive rationalization method based on conformal geometry and global, non-linear optimization. Thanks to our global approach, the 2D layout of the material can be computed such that no discontinuities occur at the seam. The center zoom shows the region of the seam, where one row of triangles is doubled to allow for easy gluing along the boundaries. The base is 3D printed.

Buckling-Induced Kirigami

“…While buckling phenomena in cracked thin plates subjected to tension have traditionally been regarded as a route toward failure [39], we show that they can also be exploited to transform flat perforated sheets to kirigami surfaces. Our buckling-induced strategy not only provides a simple route for manufacturing kirigami sheets, but can also be combined with optimization techniques to design perforated patterns capable of generating desired complex 3D surfaces under external loading [9,11,41]. Finally, since the response of our perforated sheets is essentially scale-free, the proposed pop-up strategy can be used to fabricate kirigami sheets over a wide range of scales, from transformable meterscale architectures to tunable nano-scale surfaces [24,40].…”

HCI meets Material Science

“…In other words, unlike non-auxetic structures which form a saddle shape when bent (Figure 2a), auxetic materials form a domeshape devoid of any crimps (Figure 2b), making them suitable for designing and building structures with complex curvatures and shapes [57,203]. In [119] the authors exploited this characteristic to physically realise complex surfaces such as shoes, sculptures, face masks and clothing via auxetic linkages by introducing cuts into the material so that the elements formed could rotate relative to each other in an auxetic manner.…”

An implicit frictional contact solver for adaptive cloth simulation

“…appeared in the latest years, such as non-invasive parameter estimation [Miguel et al 2012], inverse design [Bartle et al 2016;Casati et al 2016], perceptual evaluation for artistic input [Sigal et al 2015], sound generation , or even manipulation by controlled avatars [Clegg et al 2015]. In computer graphics, the current background and set of tools for simulating the dynamics of cloth also gives the hope for multiple synergies to come with other disciplines: with the textile engineering community for instance, by merging virtual prototyping and real manufacturing of garments [Bingham 2012;Konaković et al 2016]; or with the robotic and medical assistance fields, by helping measure the feeling of a person when touching and grasping fabric [Erickson et al 2017].…”