Staff Dr. Marcel Arndt

Mr. Arndt is now at BMW. This page is no longer maintained.

E-Mail: ude tod nmu tod htam ta tdnraa tod b@foo tod de

Research Interests

The main research interests are molecular dynamics and continuum mechanical simulations of solids. Of special interest are the relationship between both length scales and upscaling techniques for the derivation of continuum mechanical models from atomistic models. As an application, I am interested in microstructure and martensitic phase transformations in shape memory alloys (click here for an introduction).

Completed Research Projects

Atomistic Simulation of Martensitic Phase Transformations

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Computational modeling of multiscale materials: Derivation of continuum mechanical models from atomistic models

EU Research Training Network.

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Continuum Phase Transformation Continuum Mechanical Simulation of Shape Memory Alloys

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Microscopic effects at fluid interfaces

Project C4, SFB 611.

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Multiscale numerical algorithms: Coupling of different physical models on the micro scale and the macro scale

EU Research Training Network.

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Upscaling Techniques for the Passage from Atomistic to Continuum Mechanical Models

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Publications

Articles

  1. Martensitic transformation in NiMnGa single crystals: numerical simulation and experiments. M. Arndt, M. Griebel, V. Novák, T. Roubíček, and P. Šittner. International Journal of Plasticity, 22(10):1943–1961, 2006. BibTeX PostScript PDF Link
  2. Derivation of higher order gradient continuum models from atomistic models for crystalline solids. M. Arndt and M. Griebel. Multiscale Modeling and Simulation, 4(2):531–562, 2005. Also as Preprint No. 152, SFB 611, University of Bonn. BibTeX PDF
  3. Modelling and numerical simulation of martensitic transformation in shape memory alloys. M. Arndt, M. Griebel, and T. Roubíček. Continuum Mechanics and Thermodynamics, 15(5):463–485, 2003. Also as Preprint No. 26, SFB 611, University of Bonn. BibTeX PostScript PDF

Series- and conference contributions

  1. Upscaling technique for the atomistic-continuum simulation of shape memory alloys with the EAM potential. M. Arndt. In Proceedings of the Sixth World Congress on Computational Mechanics (WCCM VI), Beijing, China. Tsinghua University Press & Springer, 2004. BibTeX PostScript PDF
  2. Higher order gradient continuum description of atomistic models for crystalline solids. M. Arndt and M. Griebel. In P. Neittaanmäki and others, editors, Proceedings of the Fourth European Congress on Computational Methods in Applied Sciences and Engineering, Jyväskylä, Finland. 2004. BibTeX PostScript PDF
  3. Modelling and numerical simulation of martensitic transformation. M. Arndt. In W. L. Wendland and M. Efendiev, editors, Analysis and Simulation of Multifield Problems, volume 12 of Lecture Notes in Applied and Computational Mechanics, 59–65. Springer, 2003. BibTeX

Theses

  1. Upscaling from Atomistic Models to Higher Order Gradient Continuum Models for Crystalline Solids. M. Arndt. Dissertation, Institute for Numerical Simulation, University of Bonn, 2004. BibTeX PDF
  2. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. M. Arndt. Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999. BibTeX PostScript PDF Link
  3. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. M. Arndt. Errata Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999. BibTeX PostScript PDF Link