Nonlinear-Waves In Thermo-Magnetostrictive Elastic-Materials

    Authors

    A. N. Abdalla;L. Debnath

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Mathematics, Applied; Mathematics

    Abstract

    The multiple-scale technique is used to study the propagation of bulk nonlinear thermo-magneto elastic waves from the source and the generation of harmonics which are uniformaly valid on a long spatial interval. A nonlinear analysis is presented here based upon rotationally invariant coupled nonlinear thermo-elastic equations of anisotropic magnetostrictive materials. It is shown that there is considerable influence on the evolution of the amplitude of the fundamental harmonic at large distances. A closed-form solution for a displacement held is obtained in the first-order approximation. The displacement field is numerically evaluated versus distance for different values of time and then shown by a graphical presentation. (C) 1995 Academic Press, Inc.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    191

    Issue/Number

    2

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    266

    Last Page

    276

    WOS Identifier

    WOS:A1995QT22800004

    ISSN

    0022-247X

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