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

Thomas Bayer ()
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Thomas Bayer: Technische Universität München, Institut für Informatik

A chapter in Computer Algebra in Scientific Computing CASC 2001, 2001, pp 13-23 from Springer

Abstract: 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.

Keywords: Shape Memory Alloy; Finite Group; Orbit Space; Isotropy Subgroup; Orbit Type (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56666-0_2

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DOI: 10.1007/978-3-642-56666-0_2

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