Abstract
In this work we study the eponymous subject "Bending deformation of non-developable shells". Bending deformation are deformation for which the bending energy is very high in contrast to the membrane energy. For the limit case these corresponding deformation are called bending or membrane dominated. Since thin shells do have the property that the bending stiffness is very low in contrast to the membrane stiffness, bending dominated deformation result in very high deflections. Thus the bending of (thin) shells is characterized by very high deflections with a small amount of energy needed. This characteristic of large deflections makes the topic interesting for engineers since they want to avoid or exploit them. Typically these deformation need to be avoided for structures in the classical civil engineering context. On the other hand they can be exploited for folding processes, which can be designed buckling free. Therefore the properties of those shells which allow pure bending need to be studied. These properties will be presented in the following work and some examples are provided. Additionally the focus lies on non-developable surface what excludes, e.g. cylindrical or flat surfaces, since these bending deformation is well studied.
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