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Abstract

The strains in an elastic body may be computed from a specified displacement field using the equations of compatibility, regardless of whether the displacements arise from static or dynamic excitation. The corresponding stresses and, indeed, the displacements themselves may be dependent on the rate characteristics of the loading function. Therefore, the time derivatives of the displacements, i.e., velocities and accelerations, enter into these equations.

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References

  1. Filonenko-Borodich, M, Theory of Elasticity (Dover Publications, Inc., New York, 1965).

    MATH  Google Scholar 

  2. Bolt, B. A., Earthquake Engineering, Ed. R. L. Weigel (Prentice-Hall, Engle-wood Cliffs, N.J. 1970).

    Google Scholar 

  3. Pearson, C. E., Theoretical Elasticity (Harvard University Press, Cambridge, Mass., 1959).

    Google Scholar 

  4. Pierce, B. C, and Foster, R. M, “A Short Table of Integrals,” fourth edition, Ginn and Company, Boston, 1956, p. 117.

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  5. Jacobsen, L. S., and Ayre, R. S, Engineering Vibrations (McGraw-Hill Book Co, New York, 1958).

    Google Scholar 

  6. Stephen, N. G, and Wang, P. J, “Stretching and Bending of Rotating Beam,” Journal of Applied Mechanics, ASME, Vol. 53, December, 1986, pp. 869–872.

    Google Scholar 

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© 1994 Springer-Verlag New York, Inc.

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Gould, P.L. (1994). Time-Dependent Effects. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4296-3_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4296-3_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8728-5

  • Online ISBN: 978-1-4612-4296-3

  • eBook Packages: Springer Book Archive

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