TY - JOUR
T1 - XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites
AU - Liu, Zhanli
AU - Oswald, Jay
AU - Belytschko, Ted
N1 - Funding Information:
We thank Dr. Roshdy Barsoum, Prof. Sia Nemat-Nasser, and Dr. Alireza Amirkhizi for useful discussions. The support of the Office of Naval Research under Grant N00014-09-1-1226 is gratefully acknowledged.
PY - 2013/4
Y1 - 2013/4
N2 - A method for representing discontinuous material properties in a heterogeneous domain by the extended finite element method (XFEM) has been applied to study ultrasonic wave propagation in polymer matrix particulate/fibrous composites. Representative volume elements of the composite material microstructure were generated by the random sequential adsorption (RSA) algorithm, where level set fields represent the matrix/inclusion interfaces within the domain. The equations of motion were integrated explicitly in time with mass lumping on the nodal and enriched degrees of freedom. This method shows improved agreement of the wave attenuation coefficients (WAC) from experimental measurements of ultrasonic, longitudinal waves in particulate composites compared with analytical methods, especially for the high volume fraction. The WAC were also computed for fiber composites, including random and aligned fiber orientations. Our results suggest that fibers aligned with the direction of wave propagation produce the greatest amount of attenuation, where scattering is the dominant energy attenuation mechanism when the wavelength approaches the characteristic length of the microstructure.
AB - A method for representing discontinuous material properties in a heterogeneous domain by the extended finite element method (XFEM) has been applied to study ultrasonic wave propagation in polymer matrix particulate/fibrous composites. Representative volume elements of the composite material microstructure were generated by the random sequential adsorption (RSA) algorithm, where level set fields represent the matrix/inclusion interfaces within the domain. The equations of motion were integrated explicitly in time with mass lumping on the nodal and enriched degrees of freedom. This method shows improved agreement of the wave attenuation coefficients (WAC) from experimental measurements of ultrasonic, longitudinal waves in particulate composites compared with analytical methods, especially for the high volume fraction. The WAC were also computed for fiber composites, including random and aligned fiber orientations. Our results suggest that fibers aligned with the direction of wave propagation produce the greatest amount of attenuation, where scattering is the dominant energy attenuation mechanism when the wavelength approaches the characteristic length of the microstructure.
KW - Attenuation
KW - Composite material
KW - Extended finite element method
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U2 - 10.1016/j.wavemoti.2012.10.007
DO - 10.1016/j.wavemoti.2012.10.007
M3 - Article
AN - SCOPUS:84875367975
SN - 0165-2125
VL - 50
SP - 389
EP - 401
JO - Wave Motion
JF - Wave Motion
IS - 3
ER -