Development of Flat Shell Elements for Arbitrary-shaped Shell Structures by using HPM

抄録

In the hybrid-type penalty method (HPM), an independent displacement field is assumed for each element, and the continuity of displacement between the elements is approximated using a penalty function. Therefore, the relative displacement of the local coordinate system along the element boundary is required. However, when modeling a shell structure of an arbitrary shape with flat shell elements, the relative displacement between the two elements cannot be easily obtained because the adjacent elements are joined at an angle. In this study, the displacement field represented by the local coordinate system for each element was transformed into a local coordinate system of the adjacent element. We then propose a method for computing the relative displacement from these displacements. From a simple numerical example, we show that a shell structure with an arbitrary shape can be modeled with flat shell elements.