A solid-shell element which does not possess rotational degrees of freedom (DOFs) and which is applicable to thin plate/shell problems is considered. The element approximation is constructed in prisms, where displacements on the upper and lower surfaces are approximated in the global coordinate system. In addition, two other fields are defined in the shell natural (local) coordinate system that represent the components of the displacement vector in both the current shell normal direction and the current shell tangent plane. To each field, an arbitrary order of approximation can be defined, and all fields reproduce a complete and conforming polynomial approximation basis for the solid prism element. It is not necessary to augment the formulation with an assumed natural strain (ANS) field or enhanced assumed strain (EAS) field or to use reduced integration, making the element ideally suited for geometrically and physically nonlinear problems.
|Title of host publication||Unknown Host Publication|
|Number of pages||4|
|Publication status||Accepted/In press - 31 Mar 2016|
|Event||24th UK Conference of the Association for Computational Mechanics in Engineering - Cardiff University, Cardiff, UK|
Duration: 31 Mar 2016 → …
|Conference||24th UK Conference of the Association for Computational Mechanics in Engineering|
|Period||31/03/16 → …|
- solid shell
- large deformations
- hierarchical approximation
Kaczmarczyk, L., Ullah, Z., & Pearce, C. J. (Accepted/In press). Prism solid-shell with heterogonous and hierarchical approximation basis. In Unknown Host Publication (pp. 189-192). Cardiff University.