Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
maximize

Publications of Dr. Marcel Arndt:

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.
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[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.
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[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.
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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.
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[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.
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[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.
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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.
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[2] M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999.
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[3] M. Arndt. Über die Ausbreitung von Flammenfronten in unendlichen Zylindern. Errata Diplomarbeit, Mathematisches Institut, Universität Bonn, Bonn, Germany, 1999.
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