Shape-shifting of hyperbolic surfaces

Abstract

Almost every tissue in the human body is curved in a certain way. Examples are the extracellular matrix of different tissues such as trabecular bone, different acini and blood vessels. As such, the ability to create complex curved structures is crucial in the development of biomimetic biomaterials that could be used, for example, for tissue regeneration purposes. Currently, most of these different curved substrates and porous materials are fabricated with 3D-printing techniques. These techniques, however, have limitations. The 3D-printed structures, for example, have limited resolution and the production process is not compatible with planar functionality-inducing processes. A solution for these problems could be the concept of shape-shifting. Shape-shifting is the process through which an object transforms itself into a different shape under the influence of an external stimulus, such as temperature or light. A special interest goes to shape-shifting of initially flat materials (2D) into different complex 3D structures. This method has as main advantage that planar printing, patterning or other 2D processing techniques can be used on the planar (non-shape-shifted) state. In this research, the most important principles of shape-shifting of curved hyperbolic surfaces are explored. With this technique, the benefits of both hyperbolic surfaces and shape-shifting can be combined and exploited. A new way of hyperbolic shape-shifting is introduced. This is done by using a passive rigid frame and an active shape memory polymer (SMP). The passive material determines how and where the structure will fold, while the active SMP generates the force in order to fold and forms a curved (hyperbolic) surface spanned between the frame. A simple square patch design consisting of four rigid beams and an SMP was used as the basis of this research. When activated, this patch forms a saddle shaped (hyperbolic) surface. The design, activation and materials of the patch were changed and manipulated in different ways in order to perform a parametric study and to analyse different important aspects of the process. In order to quantify and assess the quality of the different patches and the effects of the manipulations, different test set-ups were made and the most valuable output parameters were chosen. Lastly, a finite element model of the principle was developed in order to further analyse the concept.