Abstract (Invited) |
Ultrasonic Characterization of the
Nonlinear Elastic Properties of Materials
R.E.Green Jr. (Center for
Nondestructive Evaluation, Johns Hopkins University, Baltimore, MD, USA)
e-mail:
robert.green@jhu.edu
Even
though many of the characteristics of elastic wave propagation in materials
have been known for years, others have still not been determined. This is
complicated by the fact that over the past several decades many new materials
and combinations of materials, e.g. composites, have been developed. The
characteristics of low-amplitude linear elastic waves are understood much
better than those associated with nonlinear elastic waves. Moreover wave
propagation in materials which are assumed to be homogeneous and isotropic is
also better understood than in more realistic inhomogeneous, anisotropic
materials. This paper will summarize the nonlinear effects associated with
elastic wave propagation in these more realistic materials. Examples will be
given of materials, which in their undeformed state behave in a linear elastic
fashion, but behave in a nonlinear elastic fashion when infinitesimal elastic
waves are propagated provided that an external stress is superimposed or has
been previously applied, materials where the amplitude of the wave is
sufficiently large that finite nonlinear elastic strains arise and materials
which are inherently nonlinear or contain inhomogenieties such that they are
locally nonlinear.
Section
: 3