IIMAS - FENOMEC
UNAM
Sinusoidally-driven indentation of time-dependent materials: Asymptotic modeling approach
Resumen:
In recent years, a sinusoidally-driven indentation test was shown to be effective for
viability characterization of articular cartilage. The mathematical analysis of dynamic
indentation experiments for a time-dependent material requires a complete understanding
of the material damping characteristics. It is assumed that the mechanical response of
the articular cartilage layer can be described in the framework of viscoelastic model with
time-independent Poisson's ratio such that the overall constitutive behavior is expressed in
terms of the complex modulus. Based on the elastic-viscoelastic correspondence principle,
the governing integral equation of the associated dynamic contact problem is formulated,
and a closed-form analytical solution for the integral characteristics of the indentation test
is obtain. An asymptotic modeling approach is then applied for analyzing and interpreting
the results of the dynamic indentation test in terms of the storage modulus and the loss
angle of the viscoelastic material.
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