Research on the P- and HP-Versions of the Finite Element Method

摘要

Research was performed on the p- and hp-versions of the finite element method with focus on reliable determination of margins of safety for structural components of aircraft. The investigation focused on structural failure by loss of stability and time dependent effects that can be modeled with linear viscoelastic constitutive laws. The main results of the project were: (a) The formulation of the problem of stability in a fully three-dimensional setting; implementation in a research code, and application to problems of substantial complexity. (b) The formulation and analysis of small-strain viscoelasticity in the context of the mixed p-version of the finite element method. It was shown that p-extensions provide a basis for the implementation of efficient and reliable quality assurance procedures. A summary of the project is presented in this document with minimal technical details. The technical details can be found in the referenced publications.