Unser InstitutTeam
Tobias Bode

Dr.-Ing. Tobias Bode

Dr.-Ing. Tobias Bode
Adresse
An der Universität 1
30823 Garbsen
Gebäude
Raum
301
Dr.-Ing. Tobias Bode
Adresse
An der Universität 1
30823 Garbsen
Gebäude
Raum
301
  • Forschungsprojekte

    Improving Accuracy and Performance of Meshfree Methods

    • Peridynamic Galerkin Methods
      Simulation-driven product development is nowadays an essential part in the industrial digitalization. Notably, there is an increasing interest in realistic high-fidelity simulation methods in the fast-growing field of additive and ablative manufacturing processes. Thanks to their flexibility, meshfree solution methods are particularly suitable for simulating the stated processes, often accompanied by large deformations, variable discontinuities, or phase changes. Furthermore, in the industrial domain, the meshing of complex geometries represents a significant workload, which is usually minor for meshfree methods. Over the years, several meshfree schemes have been developed. Nevertheless, along with their flexibility in discretization, meshfree methods often endure a decrease in accuracy, efficiency and stability or suffer from a significantly increased computation time. Peridynamics is an alternative theory to local continuum mechanics for describing partial differential equations in a non-local integro-differential form. The combination of the so-called peridynamic correspondence formulation with a particle discretization yields a flexible meshfree simulation method, though does not lead to reliable results without further treatment. In order to develop a reliable, robust and still flexible meshfree simulation method, the classical correspondence formulation is generalized into the Peridynamic Galerkin (PG) methods in this project. On this basis, conditions on the meshfree shape functions of virtual and actual displacement are presented, which allow an accurate imposition of force and displacement boundary conditions and lead to stability and optimal convergence rates. Based on Taylor expansions moving with the evaluation point, special shape functions are introduced that satisfy all the previously mentioned requirements employing correction schemes. In addition to displacement-based formulations, a variety of stabilized, mixed and enriched variants are developed, which are tailored in their application to the nearly incompressible and elasto-plastic finite deformation of solids, highlighting the broad design scope within the PG methods. Compared to related Finite Element formulations, the PG methods exhibit similar convergence properties. Furthermore, an increased computation time due to non-locality is counterbalanced by a considerably improved robustness against poorly meshed discretizations.
      Leitung: Christian Weißenfels, Peter Wriggers
      Team: M.Sc. Tobias Bode
      Jahr: 2019
    • Process Simulation for Selective Laser Melting
      A phase change model for solution with the meshfree Galerkin OTM method is developed.
      Leitung: Christian Weißenfels, Peter Wriggers
      Team: M.Sc. Henning Wessels
      Jahr: 2016
  • Publikationen

    PEER-REVIEWED ARTICLES

    A consistent peridynamic formulation for arbitrary particle distributions. / Bode, T.; Weißenfels, C.; Wriggers, P.

    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 374, 113605, 01.02.2021.

    Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

    Peridynamic Galerkin methods for nonlinear solid mechanics. / Bode, Tobias.

    2021.

    Publikation: Qualifikations-/StudienabschlussarbeitDissertation

    Mixed peridynamic formulations for compressible and incompressible finite deformations. / Bode, Tobias; Weißenfels, Christian; Wriggers, Peter.

    in: Computational mechanics, Jahrgang 65, Nr. 5, 07.02.2020, S. 1365-1376.

    Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

    Peridynamic Petrov–Galerkin method : A generalization of the peridynamic theory of correspondence materials. / Bode, T.; Weißenfels, C.; Wriggers, P.

    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 358, 112636, 24.09.2019.

    Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

    Investigation of heat source modeling for selective laser melting. / Wessels, H.; Bode, T.; Weißenfels, C.; Wriggers, P.; Zohdi, T. I.

    in: Computational mechanics, Jahrgang 63, Nr. 5, 27.09.2018, S. 949-970.

    Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

    Entwicklung einer netzfreien Simulationsmethode auf Basis der flexiblen Elemente. / Bode, Tobias.

    2017.

    Publikation: Qualifikations-/StudienabschlussarbeitSonstige Qualifikationsarbeit

    Simulation of the Particle Distribution and Resulting Laser Processing of Selective Laser Melting Processes. / Bode, Tobias.

    2017.

    Publikation: Qualifikations-/StudienabschlussarbeitMasterarbeit

  • Vorträge
    • T. Bode, C. Weißenfels, P. Wriggers (2020): Mixed peridynamic approaches for incompressible materials and finite plasticity91th Annual Meeting of the International Association of Applied Mathematics and Mechanics in Kassel (GAMM 2020, online)
    • T. Bode, C. Weißenfels, P. Wriggers (2020): Variationally consistent Peridynamic Petrov-Galerkin method in an implicit finite deformation framework14th World Congress in Computational Mechanics and ECCOMAS Congress in Paris in July 2020 (online)
    • T. Bode, C. Weißenfels, P. Wriggers (2019): Peridynamic Petrov-Galerkin for Finite ElasticityThematic Conference of the European Community in Computational Methods in Applied Sciences on eXtended Discretization MethodS for partial differential equations on complex and evolving domains (X-DMS 2019), Lugano, Switzerland 03-05 July 2019
    • T. Bode, C. Weißenfels, P. Wriggers (2019): Peridynamic Petrov-Galerkin method: A generalization of the peridynamic theory of correspondence materials90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019), Vienna, Austria, 18-22 February 2019
    • T. Bode, C. Weißenfels, P. Wriggers (2019): The Peridynamic Petrov Galerkin Method-A Generalized Peridynamic Correspondence Formulation for Finite Elasticity and Fluid FlowsVI International Conference on Particle-Based Methods (Particles 2019), Barcelona, Spain, 28-30 October 2019
    • H. Wessels, T. Bode, C. Weißenfels, P. Wriggers (2018): Metal Particle Melting Analysis for Additive Manufacturing Using the Stabilized Optimal Transportation Method89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018), Munich, Germany, 19-23 March 2018
    • T. Bode, C. Weißenfels (2018): Künstliche Intelligenz, Cyber-physische Systeme und der Digitale ZwillingVDI-Spezialtag "Künstliche Intelligenz und Digitaler Zwilling in der Fahrzeugberechnung", Baden-Baden, Germany, 19 November 2018

WERDEGANG

seit 2022 Postdoc am Institut für Kontinuumsmechanik
2021 Promotion (Dr.-Ing.), "mit Auszeichnung"
2018 Verleihung  des Ernst-Blickle-Studienpreis der SEW-EURODRIVE-Stiftung
2017-2021 Wissenschaftlicher Mitarbeiter am Institut für Kontinuumsmechanik
2017 Master of Science, "mit Auszeichnung"
2017 Masterarbeit "Simulation of the Particle Distribution and Resulting Laser Processing of Selective Laser Melting Processes" in der Gruppe von Prof. Zohdi, UC Berkeley
2016 Verleihung des Dr.-Jürgen-Ulderup-Preises für herausragende Leistungen im Bachelor
2015 Bachelor of Science, "mit Auszeichnung"
2013-2016 Deutschlandstipendiat
2012 Niedersachsenstipendiat
2012-2017 Studium Maschinenbau an der Leibniz Universität Hannover
2012 Verleihung des DPG- und DMV-Abiturpreises
1994 Geboren in Hannover

LEHRVERANSTALTUNGEN

  • Sommersemester 2022: Kontinuumsmechanik II (Hörsaalübung)
  • Wintersemester 2021/2022: Kontinuumsmechanik I (Hörsaalübung)
  • Sommersemester 2021: Bachelorprojekt: Konstruktion einer Crashstruktur
  • Wintersemester 2020/21: Bachelorprojekt: Konstruktion einer Crashstruktur
  • Wintersemester 2018/19: Technische Mechanik I (Statik) für Maschinenbau (Hörsaalübung & Leitung der Gruppenübungen)