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Tobias Bode

Dr.-Ing. Tobias Bode

Dr.-Ing. Tobias Bode
Address
An der Universität 1
30823 Garbsen
Building
Room
301
Dr.-Ing. Tobias Bode
Address
An der Universität 1
30823 Garbsen
Building
Room
301
  • Research projects

    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.
      Led by: Christian Weißenfels, Peter Wriggers
      Team: M.Sc. Tobias Bode
      Year: 2019
    • Process Simulation for Selective Laser Melting
      A phase change model for solution with the meshfree Galerkin OTM method is developed.
      Led by: Christian Weißenfels, Peter Wriggers
      Team: M.Sc. Henning Wessels
      Year: 2016
  • Publications

    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, Vol. 374, 113605, 01.02.2021.

    Research output: Contribution to journalArticleResearchpeer review

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

    2021.

    Research output: ThesisDoctoral thesis

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

    In: Computational mechanics, Vol. 65, No. 5, 07.02.2020, p. 1365-1376.

    Research output: Contribution to journalArticleResearchpeer 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, Vol. 358, 112636, 24.09.2019.

    Research output: Contribution to journalArticleResearchpeer review

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

    In: Computational mechanics, Vol. 63, No. 5, 27.09.2018, p. 949-970.

    Research output: Contribution to journalArticleResearchpeer review

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

    2017.

    Research output: ThesisOther academic qualification work

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

    2017.

    Research output: ThesisMaster's thesis

  • Presentations

    Presentation

    • 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

CURRICULUM VITAE

since 2022Postdoc at the Institute of Continuum Mechanics
2021 Degree Dr.-Ing., "with distinction"
2018 Awarded with the Ernst-Blickle-Study Prize by the SEW-EURODRIVE-Foundation
 2017-2021 Scientific Coworker at the Institute of Continuum Mechanics
2017 Master of Science, "with distinction"
2017 Master thesis on "Simulation of the Particle Distribution and Resulting Laser Processing of Selective Laser Melting Processes" at the lab of Prof. Zohdi, UC Berkeley
2016Awarded with the Dr.-Jürgen-Ulderup-Prize for an excellent bachelor degree
2015 Bachelor of Science, "with distinction"
2013 - 2016 Fellow of the German scholarship
2012 Fellow of the Lower Saxony scholarship
2012 - 2017 Studies of Mechanial Engineering at Leibniz Universität Hannover
2012 Awarded with the DPG- and DMV-High School Graduate Prize
1994 Born in Hannover

TEACHING

 

  • Summer term 2022: Continuum Mechanics II (Exercise)
  • Winter term 2021/22: Continuum Mechanics I (Exercise)
  • Summer term 2021: Bachelor project: Construction of a crash structure
  • Winter term 2020/21: Bachelor project: Construction of a crash structure
  • Winter term 2018/19: Mechanics I (Statics) for Mechanical Engineering (Auditorium exercise & group exercise management)