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Wave Propagation in Dissipative Materials

A Reprint of Five Memoirs

Authors: Coleman, B.D., Gurtin, M.H., Herrera, R.I., Truesdell, C.

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About this book

Common experience reveals two basic aspects of wave propagation. First, while preserving their identity and travelling at definite speeds, sounds finally die out. Second, weak sounds may combine to form strong noises. Theories of acoustic propagation have succeeded in representing these aspects of experience separately, but never combined as in nature. The classical theories of sound in perfect fluids and elastic solids easily yield common speeds of propagation for plane infinitesimal disturbances, but no damping. Moreover, within EULER'S theory of the perfect fluid, or its generalization, the GREEN-KIRCHHOFF-KELVIN theory of finite elasticity, weak waves may grow stronger and become shock waves, which propagate according to more complicated but equally definite principles. Effects of internal damping are easily added for theories of infinitesimal deformation, but for finite motions a dead end was reached about sixty years ago. Indeed, in 1901 DUHEM proved that according to the NAVIER-STOKES theory of fluids acceleration waves and waves of higher order cannot exist, and for shock waves he claimed a similar result, which has since been shown to be valid subject to certain qualifications. So as to save the phenomena of sound and noise, as was necessary if the NAVIER-STOKES theory was to deserve the place proposed for it as a refinement upon EULER'S theory, DUHEM introduced the concept of "quasi-wave", a region of rapid but continuous transition.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • The Velocity of One-Dimensional Shock and Acceleration Waves

    Pages 1-19

    Coleman, Bernard D. (et al.)

  • On the Growth and Decay of One-Dimensional Acceleration Waves

    Pages 23-49

    Coleman, Bernard D. (et al.)

  • Thermodynamic Influences on the Growth and Decay of Acceleration Waves

    Pages 50-82

    Coleman, Bernard D. (et al.)

  • Thermodynamics and the Velocity of General Acceleration Waves

    Pages 83-104

    Coleman, Bernard D. (et al.)

  • General and Exact Theory of Waves in Finite Elastic Strain

    Pages 105-138

    Truesdell, C.

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-642-88691-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.00
price for USA in USD
  • ISBN 978-3-642-88693-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Wave Propagation in Dissipative Materials
Book Subtitle
A Reprint of Five Memoirs
Authors
Copyright
1965
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-88691-1
DOI
10.1007/978-3-642-88691-1
Softcover ISBN
978-3-642-88693-5
Edition Number
1
Number of Pages
VII, 138
Additional Information
From: Archive of Rational Mechanics and Analysis, Volume 8 (1961) and Volume 19 (1965)
Topics