Numerical treatment of elasto viscoplastic shells in the range of moderate and large rotations

Abstract

In the paper is investigated the influence of higher order terms, which should be taken into account in the strain-displacements relations for shells according to moderate or large rotations theories. An example of both theories’ application is given in the form of an exact matrix description for spherical and cylindrical shells and also for plates. Presented formulas are directly applicable in the finite element computer program. The paper starts with the kinematic relations of shell theories for moderate and large rotations. Then different types of the viscoplastic constitutive models applied for finite elements problems are investigated. Finally, the dynamic approach is compared with the static one and illustrated by an example of a spherical shell calculated for different types of element meshes and different types of finite elements.