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Vibrations of Elasto-Plastic Bodies

  • Book
  • © 1998

Overview

Authors:
  1. Vladimir Palmov

    1. Department of Mechanics and Control Processes, State Technical University of St. Petersburg, St. Petersburg, Russia

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  • Fundamental monograph and graduate text about the dynamical behavior of a wide group of engineering materials

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-12
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  2. Foundations and equations of continuum mechanics

    • Vladimir Palmov
    Pages 13-86

  3. Plasticity theory and internal friction in materials

    • Vladimir Palmov
    Pages 87-104

  4. Three-dimensional cyclic deformations of elastoplastic materials

    • Vladimir Palmov
    Pages 105-126

  5. Single-frequency vibrations in elastoplastic bodies

    • Vladimir Palmov
    Pages 127-154

  6. Random deformation of elastoplastic materials

    • Vladimir Palmov
    Pages 155-177

  7. Random vibrations of elastoplastic bodies

    • Vladimir Palmov
    Pages 179-221

  8. Propagation of vibration in a nonlinear dissipative medium

    • Vladimir Palmov
    Pages 223-276

  9. Propagation of vibration in media with complex structure

    • Vladimir Palmov
    Pages 277-294

  10. Back Matter

    Pages 295-313
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Keywords

About this book

Undeservedly little attention is paid in the vast literature on the theories of vibration and plasticity to the problem of steady-state vibrations in elastoplastic bodies. This problem, however, is of considerable interest and has many important applications. The problem of low-cyclic fatigue of metals, which is now in a well de­ veloped state is one such application. The investigations within this area are actually directed to collecting experimental facts about repeated cyclic loadings, cf. [47J. Theoretical investigations within this area usually con­ sider the hysteretic loops and the construction of models of plasticity theory which are applicable to the analysis of repeated loadings and the study of the simplest dynamic problems. Another area of application of the theory of the vibration of elastoplas­ tic bodies is the applied theory of amplitude-dependent internal damping. Another name for this theory is the theory of energy dissipation in vibrat­ ing bodies. In accordance with the point of view of Davidenkov "internal damping" in many metals, alloys and structural materials under consider­ able stress presents exactly the effect of micro plastic deformations. There­ fore, it may be described by the methods of plasticity theory. This point of view is no doubt fruitful for the theory of energy dissipation in vibrating bodies, as it allows one to write down the constitutive equations appropri­ ate both for vibrational analysis of three-dimensional stress states and an investigation of nonharmonic deformation. These problems are known to be important for the theory of internal damping.

Authors and Affiliations

  • Department of Mechanics and Control Processes, State Technical University of St. Petersburg, St. Petersburg, Russia

    Vladimir Palmov

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