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Vibrations of Elasto-Plastic Bodies (Paperback, Softcover reprint of hardcover 1st ed. 1998)
Loot Price: R4,448
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Vibrations of Elasto-Plastic Bodies (Paperback, Softcover reprint of hardcover 1st ed. 1998)
Series: Foundations of Engineering Mechanics
Expected to ship within 10 - 15 working days
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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."
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