Refined Triangular Plate and Shell Elements

摘要

In this work several refinements of small strain triangular plate and shallowshell elements are discussed. These element types are closely connected in the present work, because the shell elements are formulated on the basis of the plate bending elements. In Chapter 3, a family of plate bending elements is discussed, based upon the Kirchhoff-Love and the Mindlin-Reissner plate models. Refinements of the facet element, which is a combination of the constant strain and the constant bending moment triangle, are presented in Chapter 4. In Chapter 5 an alternative finite rotation formulation is presented, which is applicable to arbitrary rotational increments. Based upon the plate bending elements with linear variations for the bending moments, more complex elements are established in Chapter 6. Throughout the work several numerical examples are given. These examples show characteristic features of the refined elements and yield a comparison with former formulations and some elements known from literature.