Simply put, a structure should resist loads without failing. Structures that contain humans, i.e. houses, boats, cars, aeroplanes, do not deform a great deal (thankfully!) and those that are required to move around (e.g. aeroplanes) should be lightweight to keep fuel costs down and to overcome gravity. This talk explores the possibility of using unusual properties of materials with some nonlinear geometric behaviour to either reduce mass or to achieve a significant shape change (morphing) of a structure with specific current research examples.