Dr. Marcel Arndt

E-Mail:	arndtmath.umn.edu
PGP:	Key data
PGP Key Id:	495B48BE

Former member of the institute

Now at BMW (http://www.bmw.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).

Research Projects

	Atomistic Simulation of Martensitic Phase Transformations
	Continuum Mechanical Simulation of Shape Memory Alloys
	Upscaling Techniques for the Passage from Atomistic to Continuum Mechanical Models
	Microscopic effects at fluid interfaces (SFB611, Project C4)
	MULTIMAT: Multiscale modeling and characterization of phase transformation in advanced materials (EU Research Training Network)

Publications

Articles:

[1] M. Arndt, M. Griebel, V. Novák, T. Roubíček, and P. Šittner. Martensitic transformation in NiMnGa single crystals: Numerical simulation and experiments. International Journal of Plasticity, 22(10):1943-1961, 2006.
[ bib | http | .ps 1 | .pdf 1 | Abstract ]

[2] M. Arndt and M. Griebel. Derivation of higher order gradient continuum models from atomistic models for crystalline solids. Multiscale Modeling and Simulation, 4(2):531-562, 2005. Also as Preprint No. 152, SFB 611, University of Bonn.
[ bib | .pdf 1 | Abstract ]

[3] M. Arndt, M. Griebel, and T. Roubíček. Modelling and numerical simulation of martensitic transformation in shape memory alloys. Continuum Mechanics and Thermodynamics, 15(5):463-485, 2003. Also as Preprint No. 26, SFB 611, University of Bonn.
[ bib | .ps.gz 1 | .pdf 1 | Abstract ]

Series- and conference contributions:

[1] M. Arndt. Upscaling technique for the atomistic-continuum simulation of shape memory alloys with the EAM potential. In Proceedings of the Sixth World Congress on Computational Mechanics (WCCM VI), Beijing, China. Tsinghua University Press & Springer, 2004.
[ bib | .ps.gz 1 | .pdf 1 | Abstract ]

[2] M. Arndt and M. Griebel. Higher order gradient continuum description of atomistic models for crystalline solids. In P. Neittaanmäki et al., editors, Proceedings of the Fourth European Congress on Computational Methods in Applied Sciences and Engineering, Jyväskylä, Finland, 2004.
[ bib | .ps.gz 1 | .pdf 1 | Abstract ]

[3] M. Arndt. Modelling and numerical simulation of martensitic transformation. In W. L. Wendland and M. Efendiev, editors, Analysis and Simulation of Multifield Problems, volume 12 of Lecture Notes in Applied and Computational Mechanics, pages 59-65. Springer, 2003.
[ bib | Abstract ]

Theses:

[1] M. Arndt. Upscaling from Atomistic Models to Higher Order Gradient Continuum Models for Crystalline Solids. Dissertation, Institute for Numerical Simulation, University of Bonn, 2004.
[ bib | .pdf 1 | Abstract ]

[2] M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999.
[ bib | .html | .ps.gz 1 | .pdf 1 ]

[3] M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Errata Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999.
[ bib | .html | .ps.gz 1 | .pdf 1 ]

Teaching

Selected teaching activities:

WS 05/06: Praktische Mathematik I
Lecture (with M. Griebel and T. Gerstner)
SS 05: Praktische Mathematik II
Lecture (with K. Scherer)
WS 04/05: Praktische Mathematik I
Lecture (with K. Scherer)
WS 02/03: Praktische Mathematik I
Lecture (with A. Kunoth)
SS 02: Formoptimierung bei Variationsproblemen
Seminar (with M. Griebel)
SS 01: Analysis II
Lecture (with M. Griebel)
WS 00/01: Analysis I
Lecture (with M. Griebel)
SS 00: Numerische Simulation und Visualisierung.
Laboratory in computational fluid dynamics (with M. Griebel and F. Koster)
WS 99/00: Numerik Partieller Differentialgleichungen I
Lecture (with K. Scherer)

How many digits of the famous constant Pi do you remember? Give it a try with my Pi-Trainer!

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

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

[1]	M. Arndt. Upscaling from Atomistic Models to Higher Order Gradient Continuum Models for Crystalline Solids. Dissertation, Institute for Numerical Simulation, University of Bonn, 2004. [ bib \| .pdf 1 \| Abstract ]
[2]	M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999. [ bib \| .html \| .ps.gz 1 \| .pdf 1 ]
[3]	M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Errata Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999. [ bib \| .html \| .ps.gz 1 \| .pdf 1 ]