A Novel Smooth Discretization Approach for Elasto-Plastic Contact of Solid Bodies and Thin-Walled Structures

Funding/Agency Deutsche Forschungsgemeinschaft (DFG), PO 1883/1-1
in the framework of the Priority Programme SPP 1748
Funding Period 2014-2017
Partners Institute of Numerical Mathematics, TU Munich (Prof. Wohlmuth)
Project Abstract This project aimed at introducing a new discretization method for contact of bulky and thin-walled structures exhibiting pronounced geometrical and material nonlinearities. The resulting smooth contact approach goes beyond traditional smoothing procedures with regard to a sound mathematical basis, but at the same time retains the simplicity of low-order finite element discretizations in the bulk of the computational domain. Volume and contact surface discretizations are strictly separated, but interconnected via variationally consistent coupling operators based on generic biorthogonal Lagrange multiplier bases. This new approach promises to offer maximal flexibility with regard to a smooth surface discretization (e.g. using higher-order FEM, Hermite interpolation, splines or NURBS) and a completely independent volume discretization (e.g. using low-order non-conforming FEM, EAS or F-Bar techniques). In addition, an integrated treatment of contact and friction as well as finite strain plasticity based on so-called nonlinear complementarity functions and semi-smooth Newton methods has been developed, which offers a superior robustness as compared with traditional radial return mapping schemes.
Contact at IMCS Prof. Dr.-Ing. Alexander Popp




Robust Simulation Methods for Contact, Friction, Wear and Fatigue in Blade-to-Disc Joints in Aircraft Engines

Funding/Agency Rolls-Royce Deutschland Ltd & Co KG
in the framework of the German Aviation Research Program (BMWi)
Funding Period 2007-2017
Partners Rolls-Royce plc (U.K.)
Project Abstract Long-term industry collaboration (over 10 years) with several sub-projects that were concerned with robust discretization schemes and solution algorithms for contact problems in turbine blade-to-disc joints. New computational methods for domain decomposition, frictional contact, fretting wear and fretting fatigue have been developed, validated and integrated into the industrial partner's in-house finite element code. Consulting on high-performance computing (HPC).
Contact at IMCS Prof. Dr.-Ing. Alexander Popp