Sprungmarken

Servicenavigation

Hauptnavigation

Sie sind hier:

Hauptinhalt

Prof. Dr.-Ing. Daniel Materna

Prof. Dr.-Ing. Daniel Materna Foto von Prof. Dr.-Ing. Daniel Materna daniel.materna(at)tu-dortmund.de

Weitere Kontaktdaten  

Derzeitige Tätigkeit:

 

Professor an der Hochschule Ostwestfalen-Lippe

Fachbereich Bauingenieurwesen

Lehrgebiet Mathematik und Bauinformatik

 

 

Lehre und Forschung

Lehre

  • Einführung in die Programmierung
  • Lineare und nichtlineare FEM
  • Kontinuumsmechanik
  • Strukturoptimierung

 

Forschungsinteressen

  • Variationelle Formulierungen für Struktur- und Sensitivitätsanalysen von gekoppelten Problemen

  • Adaptive Verfahren und Fehlerschätzer in der Strukturmechanik und Strukturoptimierung

  • Anwendungen der variationellen Sensitivitätsanalyse

  • Fehleranalyse von Sensitivitätsbeziehungen

  • Konfigurationsmechanik

 

Publikationen

  • F.-J. Barthold, N. Gerzen, W. Kijanski, D. Materna:
    Efficient variational design sensitivity analysis. MMOM, 2015, accepted for publication.

  • D. Materna, V. K. Kalpakides:
    Reanalysis for design modifications based on residual increment approximations. In Proc. OPT-i - International Conference on Engineering and Applied Sciences Optimization (2014), pages 2391–2406, ISBN 978-960-99994-6-5.

  • D. Materna, V. K. Kalpakides:
    Variational design sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations. In Proc. 10th HSTAM International Congress on Mechanics (2013), ISBN 124-7485-789679-567-3.

  • F.-J. Barthold, D. Materna:
    Remarks on different strategies for variational design sensitivity analysis. In Proc. of the 7th World Congress on Structural and Multidisciplinary Optimization, (2007), pp. 1348-1357.

  • D. Materna, F.-J. Barthold:
    Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization. In Proc. of the 6th ASMO-UK/ISSMO Conf. on Engineering Design Optimization, (2006), pp. 173-181.

  • D. Materna:
    Finite Elemente und Einflussfunktionen.
    Diplomarbeit I, Lehrstuhl für Baustatik, Universität Kassel, 2002.

 

Präsentationen

  • D. Materna, V. K. Kalpakides:
    Reanalysis for design modifications based on residual increment approximations. In International Conference on Engineering and Applied Sciences Optimization, Kos, Greece, June 4-6, 2014.

  • D. Materna:
    Basics on Inverse Problems and Structural Optimisation. In Summer School: Evolutionary Solid Bodies - Growth and Remodelling of Biological Tissues, Münster, Germany, September 8-14, 2013.

  • D. Materna, V. K. Kalpakides:
    Variational design sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis of first-order adjoint sensitivity relations. In 10th HSTAM International Congress on Mechanics, Chania, Greece, Mai 25-27, 2013.

  • D. Materna, F.-J. Barthold:
    A Modified Extended Finite Element Approach - Structural and Sensitivity Analysis. In 8th European Solid Mechanics Conference (ESMC), Graz, Austria, July 9-13, 2012.

  • F.-J. Barthold, D. Materna:
    Shape sensitivity analysis in the extended finite element method. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Darmstadt, Germany, March 26-30, 2012.

  • D. Materna, F.-J. Barthold:
    Improvement of classical first-order adjoint sensitivity relations. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Darmstadt, Germany, March 26-30, 2012.

  • D. Materna, F.-J. Barthold:
    Sensitivity analysis of dual problems in nonlinear elasticity with applications to error analysis. EUROMECH 522 - Recent Trends in Optimisation for Computational Solid Mechanics, Erlangen, Germany, October 10-12, 2011.

  • D. Materna, F.-J. Barthold:
    Variational design sensitivity analysis of dual problems with applications to error analysis. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Graz, Austria, April 18-21, 2011.

  • D. Materna, F.-J. Barthold:
    An exact representation of variational design sensitivity relations and improvement of classical frst-order formulations. 2nd International Conference on Engineering Optimization (EngOpt2010), Lisbon, Portugal, September 6-9, 2010.

  • D. Materna, F.-J. Barthold:
    Improvement of first-order sensitivity relations based on an exact formulation for the change in the state due to design perturbations. IV European Conference on Computational Mechanics (ECCM2010), Paris, France, May 16-21, 2010.

  • D. Materna, F.-J. Barthold:
    Error analysis and improvement of first-order design sensitivity relations. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Karlsruhe, March 22-26, 2010.

  • D. Materna, F.-J. Barthold:
    Error analysis and improvement of design sensitivity relations. GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Hannover, September 21-23, 2009.

  • D. Materna, F.-J. Barthold:
    Configurational variations for the primal and the dual problem in elasticity with applications to goal-oriented r-adaptive mesh optimization. 7th EUROMECH Solid Mechanics Conference (ESMC2009), Lisbon, Portugal, September 7-11, 2009.

  • D. Materna, F.-J. Barthold:
    Configurational variations for the primal and the dual problem. ISDMM (International Symposium on Defect and Material Mechanics), University of Trento, Italy, July 6-9, 2009.

  • D. Materna, F.-J. Barthold:
    A variational framework for dual solutions in the physical and material space. IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, Erlangen, Germany, October 20-24, 2008.

  • D. Materna, F.-J. Barthold:
    On r-adaptive mesh optimization for local quantities of interest based on the material residual. WCCM8 / ECCOMAS 2008 Conference, Venice, Italy, June 30 - July 4, 2008.

  • D. Materna, F.-J. Barthold:
    Goal-oriented r-adaptivity based on the evaluation of the physical and material residual. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Bremen, March 31 - April 4, 2008.

  • D. Materna, F.-J. Barthold:
    Aspects of variational settings in the material space. GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Munich, October 10-12, 2007.

  • D. Materna, F.-J. Barthold:
    Mesh optimization techniques based on variational design sensitivity analysis. 9th USNCCM (US National Congress on Computational Mechanics), San Francisco CA, USA, July 22-26, 2007.

  • D. Materna, F.-J. Barthold:
    On variational sensitivity analysis and changes in the material configuration. ICIAM (International Congress on Industrial and Applied Mathematics), Zurich, Switzerland, July 16-20, 2007.

  • D. Materna, F.-J. Barthold:
    Variational design sensitivity analysis in the context of structural optimization and configurational mechanics. ISDMM (International Symposium on Defect and Material Mechanics), Aussois, France, March 26-29, 2007.

  • D. Materna, F.-J. Barthold:
    Relations between Structural Optimization and Configurational Mechanics with Applications to Mesh Optimization. ASMO-UK (Association for Structural and Multidisciplinary Optimization in the UK), Oxford, UK, July 3-4, 2006.

  • D. Materna, F.-J. Barthold:
    Coherence of Structural Optimization and Configurational Mechanics. GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) Annual Scientific Conference, Berlin, March 27-31, 2006.

  • D. Materna, F.-J. Barthold:
    Interaction of Structural Optimization and Configurational Mechanics. GACM (German Association for Computational Mechanics) Colloquium for Young Scientists, Bochum, October 5-7, 2005.