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  • 1
    Electronic Resource
    Electronic Resource
    Control problems with state constraints for shape memory alloys (1994)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 17 (1994), S. 943-952 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In this paper, two different control problems with state constraints for shape memory alloys are considered: in the non-isothermal case, we study boundary control problems, and in the isothermal situation, a dynamical shape optimization problem is considered. In both cases, the transverse displacement is the constrained state variable. The first-order conditions of optimality are derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670171204
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  • 2
    Electronic Resource
    Electronic Resource
    Dynamical shape control and the stabilization of non-linear thin rods (1991)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 14 (1991), S. 63-78 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In this paper we consider the problem of stabilizing the motion of the tip of a thin rod by controlling the shape of the rod, that is its length, dynamically. Well-posedness of the associated state equations, valid on a moving domain, is proved, and the necessary conditions of optimality for the control problem are derived. The theory applies to materials where the stress-strain relation is both non-linear and non monotone, so that hysteresis effects arising from solid-solid phase transitions in the rod are included.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670140104
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  • 3
    Electronic Resource
    Electronic Resource
    Raman spectroscopy study of powdered [Ni(NH3)6] X2 compounds (1975)
    Chichester [u.a.] : Wiley-Blackwell
    Journal of Raman Spectroscopy 4 (1975), S. 13-24 
    Details
    ISSN: 0377-0486
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Ten out of eleven Raman active modes were detected in [Ni(NH3)6] X2 powders, apart from internal modes of the X- ions. The Raman active lattice mode happens to agree fairly well with the predictions of a model based on the electrostatic potential field of point charges. The X = Cl compound showed evidence of losing ammonia during irradiation with the laser beam. Two modes (the N—Ni—N angle deformation and the lattice vibration) are especially sensitive to the NH3- vacancies thus created.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jrs.1250040103
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