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  • 1995-1999  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Energy bounds in dynamical problems for a semi-infinite magnetoelastic beam (1996)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 880-893 
    Details
    ISSN: 1420-9039
    Keywords: 73R Electromagnetic elasticity ; Magnetoelasticity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The aim of this paper is to investigate the behaviour of the total energy of a magnetoelastic conductor occupying a semi-infinite prismatic cylinder in dynamical conditions. Precisely, we deduce some estimates for the energyW(x 3,t) of the portion of the medium at distance greater thanx 3 from the base in terms of the data. First of all, we prove that the total energyW(0,t) is finite for allt 〉 0 providedW(0, 0) is finite. Then, using the first Korn inequality, we obtain that the estimate forW(x 3,t) depends only on the initial data ift〈x 3/V (V=computable positive material constant); ift〉x 3/V then the bound forW(x 3,t) depends on all the data of the problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00920039
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  • 2
    Electronic Resource
    Electronic Resource
    Energy bounds for a mixture of two linear elastic solids occupying a semi-infinite cylinder (1995)
    Springer
    Acta mechanica 109 (1995), S. 191-206 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The aim of this paper is to establish some forms of the Saint-Venant principle for a mixture of two linear elastic solids occupying a semi-infinite prismatic cylinder. We examine the behaviour of the energy for both static and dynamical problems. Under mild assumptions on the asymptotic behaviour of the unknown fields at infinity, we show that in the static case the elastic energy of the portion of the cylinder beyond a distancex 3 from the loaded region decays exponentially withx 3. For the dynamical problem we estimate through the data the total energy stored in that part of the cylinder whose minimum distance from the loaded end isx 3; these estimates, which are based on the assumption that the initial total energy is finite, depend uponx 3 but do not depend upon the timet.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176822
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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