Forschungskolloquium: Vortrag von Tarun Mitruka, M.Sc., und Dr.-Ing-Simon Bieber zur Mixed Displacement Method

Wir laden Sie und Euch herzlich zum ersten Vortrag im Rahmen des Forschungskolloquiums für Abschlussarbeitende, Doktoranden und Habilitanden im kommenden Jahr 2026 ein. Dieser findet am Dienstag, den 13.01.2026 um 16:30 Uhr in Raum 3516 (Mönchebergstr. 7) statt. Wir freuen uns, Herrn Tarun Mitruka, M.Sc. (Universität Stuttgart) und Herrn Dr.-Ing. Simon Bieber (ehemals Universität Stuttgart; DYWIDAG International GmbH Leipzig) als Gastvortragende zu haben. Der Vortragstitel lautet:

„The Mixed Displacement Method: A Variational Approach to Intrinsically Alleviate Locking“

Wirfreuen uns auf Ihr und Euer Kommen.

Zusammenfassung

Locking is a well-known problem in the context of the finite element method (FEM). While the locking phenomenon itself is characterized by poor coarse-mesh accuracy with underestimated displacements and oscillating stress components in dependence of a certain parameter, there exist different types of locking. Typical examples are shear locking (in-plane and transverse), membrane locking, trapezoidal locking, volumetric locking, etc. While many solution strategies have been developed to alleviate the problem of locking within the framework of FEM, with newly evolving discretization methods, like meshless methods, isogeometric analysis, scaled boundary FEM, virtual element methods, etc., the necessity to create or extend the already developed methods reemerges. To circumvent this task, the mixed displacement (MD) method was designed. As the name suggests, it is a mixed method, where additional degrees of freedom are added that adhere to a carefully chosen kinematic law. This kinematic law is constructed such that the formulation is intrinsically locking-free, i.e., it is locking-free independent of the discretization method. In spite of its simplicity, the MD method carries the challenge of handling certain additional constraints that are to be imposed on the additional degrees of freedom.  

In this work, an overview of the MD method is presented, and recent developments are discussed. Numerical examples showcasing the transverse shear locking-free characteristics in straight beams and plates, membrane locking-free properties in curved beams and shells, in-plane shear locking, and volumetric locking-free attributes in 2D solids will be demonstrated. The examples will cover both geometrically linear and nonlinear examples within the framework of standard FEM and isogeometric analysis.