3 papers
cs.CE2026
A space-time finite element formulation for geometrically exact shear-deformable beams
Ivo Steinbrecher, Alexander Humer
We present a space-time finite element formulation for the transient analysis of geometrically exact shear-deformable beams. The formulation treats space and time within a unified…
math.NA2026
Mixed Finite Elements for Geometrically Exact Beams using Discontinuous Rotations and Discrete Curvature
Alexander Humer, Ivo Steinbrecher, Astrid Pechstein
We propose a novel mixed finite-element formulation for geometrically exact (Simo--Reissner) beams that introduces the moment vector as additional independent field. The specific m…
math.NA2025
Efficient Design of Compliant Mechanisms Using Multi-Objective Optimization
Alexander Humer, Sebastian Platzer
Compliant mechanisms achieve motion through elastic deformation. In this work, we address the synthesis of a compliant cross-hinge mechanism capable of large angular strokes while…