Research
Research projects

Current Research Projects at the IBNM

  • Hybrid physics-based and data-driven dynamical systems identification using kernel-based methods
    This project focuses on exploring the different alternatives to assemble so-called hybrid physics-based and data-driven dynamical models and exploring their performance capabilities in engineering tasks such as reliability analysis or closed-loop control. The idea is to combine an optimal linear representation of the system under study-- e.g., optimal in the least square sense-- and extend it to adopt so-called kernel models that can "learn" the system's unmodeled (nonlinear) dynamics. The resulting model is a nonlinear one composed of linear and nonlinear parts. The linear part can be constructed based on some known physics of the real system, which makes it interpretable. The nonlinear part can be identified based on, e.g., measured data computing the error between the linear approximation and the real system. Some well-known kernel models, widely used in Machine Learning applications, could be adopted for its construction, e.g., exponential, square exponential, Matern with parameter 3/2 or 5/2 kernels.
    Led by: Udo Nackenhorst
    Team: Jorge Urrea
    Year: 2022
    Scheme: Hybrid physics-based and data-driven synamical systems identification Scheme: Hybrid physics-based and data-driven synamical systems identification
  • Stochastic calculations in connection with FE-simulations
    This projects investigates non-linear finite element (FE) calculations involving random variables and random fields. For this purpose, elasto-plastic calculations and damage calculations are performed using the FE software Abaqus. In order to model the dependence of damage evolution on inhomogeneities in the material more realistically, random fields are used to model material properties. Thus, the material properties vary not only from realisation to realisation, but also in space within the model.
    Led by: Udo Nackenhorst
    Team: Esther Voelsen
    Year: 2021
  • Surrogate modelling for the monitoring of implants
    High-fidelity computational simulations can be used to predict the long-term stability and possible failure of implants. Furthermore, the patient’s individual conditions can be considered to optimise the monitoring of the implantation. However, these models require a high computational effort due to...
    Led by: Udo Nackenhorst
    Team: Marlis Reiber
    Year: 2021
    Funding: DFG-funded collaborative research centre/transregio 298 “Safety-Integrated and Infection-Reactive Implants” (SIIRI)
  • Development of a Coupled BCHM-Model for Numerical investigations of MICP treatment of soil
    Microbially induced calcite precipitation (MICP) offers the potential for the development of environmentally friendly and cost-effective solutions to a wide range of geotechnical engineering problems, from “improvement of the soft underground” to “control of groundwater contamination”.
    Led by: Udo Nackenhorst
    Team: Xuerui Wang
    Year: 2020
    Funding: German Research Foundation (DFG)
    Duration: 2020-2022
    Figures: Schematic view of the relevant processes in MICP (left) and the BCHM couplings (right) Figures: Schematic view of the relevant processes in MICP (left) and the BCHM couplings (right)
  • Meso-scale finite element modeling of concrete damage under fatigue loading
    Within the scope of this project, the mechanism of concrete damage under cyclic loading conditions will be invistigated at the meso-scale. At this scale, concrete will be considered as non-homogeneous three-phase composite material which consists of cement matrix (mortar), aggregates and interfacial transition zone (ITZ).
    Led by: Udo Nackenhorst
    Team: Mohammed Hammad
    Year: 2018
    Funding: DAAD (German Academic Exchange Service)
  • Reduced Order Modelling in Non-Linear Structural Mechanics
    Finite Element Methods are well established in structural mechanics, however, in many engineering applications fast numerical evaluations of parametric solutions are required, e.g. for optimisation, sensitivity analysis or uncertainty quantification. Model Order Reduction (MOR) is currently under investigation for drastic reduction of the computational effort in comparison to FEM simulations. However, to this point no clear guidelines on the treatment of non-linearity have been developed. In this project kernel based methods will be investigated with regard to their performance on tackling non-linear structural dynamics problems, in particular for structural failure to loss of material resistance. A goal oriented comparison of different branches of kernel-based methods, i.e. kernel POD, support vector regression and Kriging with special emphasis on damage and plasticity is performed.
    Led by: Udo Nackenhorst
    Team: Steffen Funk
    Year: 2017
  • Imprecise random fields within non-linear finite element analysis
    Regarding climate change, nowadays research focus lays more and more on sustainability and resource saving approaches. Quantifying and considering uncertainties within the engineering design process can help to reduce both, ecological and economical costs. Instead of conservative safety and knockdown factors, a stochastic finite element (FE) analysis enables an optimized design. For this purpose, input variables such as material or load properties can be considered uncertain.
    Led by: Udo Nackenhorst (former also Amélie Fau)
    Team: Mona Madlen Dannert (former also Rodolfo Fleury)
    Year: 2016
    Funding: Priority Programme SPP 1886 of German Research Foundation (DFG), State of Lower Saxony