Advertisement

Elastic and Viscoelastic Materials

  • Mark H. Holmes
Chapter
  • 1.5k Downloads
Part of the Texts in Applied Mathematics book series (TAM, volume 56)

Abstract

A particularly successful application of continuum mechanics is linear elasticity.

References

  1. A. Bayon, F. Gascon, A. Varade, Measurement of the longitudinal and transverse vibration frequencies of a rod by speckle interferometry. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 40, 265–269 (1993)CrossRefGoogle Scholar
  2. A. Bayon, A. Varade, F. Gascon, Determination of the elastic constants of isotropic solids by optical heterodyne interferometry. J. Acoust. Soc. Am. 96, 2589–2592 (1994)CrossRefGoogle Scholar
  3. Y.C. Fung, Biomechanics: Mechanical Properties of Living Tissues, 2nd edn. (Springer, New York, 1993)CrossRefGoogle Scholar
  4. M. Kac, Can one hear the shape of a drum? Am. Math. Mon. 73, 1–23 (1966)MathSciNetCrossRefGoogle Scholar
  5. R.S. Lakes, Viscoelastic measurement techniques. Rev. Sci. Instrum. 75, 797–810 (2004)CrossRefGoogle Scholar
  6. Y. Morita, N. Tomita, H. Aoki, S. Wakitani, Y. Tamada, T. Suguro, K. Ikeuchi, Visco-elastic properties of cartilage tissue regenerated with fibroin sponge. Bio-Med. Mater. Eng. 12, 291–298 (2002)Google Scholar
  7. J. Mueller, S. Siltanen, Linear and Nonlinear Inverse Problems with Practical Applications (Society for Industrial and Applied Mathematics, Philadelphia, 2012). https://doi.org/10.1137/1.9781611972344. http://epubs.siam.org/doi/abs/10.1137/1.9781611972344

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Mark H. Holmes
    • 1
  1. 1.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

Personalised recommendations