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Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloys

In: Computer Algebra in Scientific Computing CASC 2001

Author

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  • Thomas Bayer

    (Technische Universität München, Institut für Informatik)

Abstract

When modeling shape memory alloys one has to construct a free energy Φ(F, Θ) which has to assume global minima on various strata of the orbit space of the symmetry group G depending on the temperature Θ. We provide an algorithm for decomposing a G-variety X (G finite) and its orbit space Z = X/G in different strata, each corresponding to a different orbit type. An application to the construction of Φ for Nickel-Titanium alloys is presented.

Suggested Citation

  • Thomas Bayer, 2001. "Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloys," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC 2001, pages 13-23, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56666-0_2
    DOI: 10.1007/978-3-642-56666-0_2
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