RT Journal Article
T1 Damage prediction via nonlinear ultrasound: A micro-mechanical approach.
A1 Melchor, J
A1 Parnell, W J
A1 Bochud, N
A1 Peralta, L
A1 Rus, G
K1 Homogenization
K1 Micro-cracks
K1 Non-destructive evaluation
K1 Nonlinear acoustics
K1 Nonlinear elasticity
K1 Ultrasound
AB Nonlinear constitutive mechanical parameters, predominantly governed by micro-damage, interact with ultrasound to generate harmonics that are not present in the excitation. In principle, this phenomenon therefore permits early stage damage identification if these higher harmonics can be measured. To understand the underlying mechanism of harmonic generation, a nonlinear micro-mechanical approach is proposed here, that relates a distribution of clapping micro-cracks to the measurable macroscopic acoustic nonlinearity by representing the crack as an effective inclusion with Landau type nonlinearity at small strain. The clapping mechanism inside each micro-crack is represented by a Taylor expansion of the stress-strain constitutive law, whereby nonlinear terms arise. The micro-cracks are considered distributed in a macroscopic medium and the effective nonlinearity parameter associated with compression is determined via a nonlinear Mori-Tanaka homogenization theory. Relationships are thus obtained between the measurable acoustic nonlinearity and the Landau-type nonlinearity. The framework developed therefore yields links with nonlinear ultrasound, where the dependency of measurable acoustic nonlinearity is, under certain hypotheses, formally related to the density of micro-cracks and the bulk material properties.
PB Elsevier BV
YR 2018
FD 2018-10-20
LK http://hdl.handle.net/10668/13298
UL http://hdl.handle.net/10668/13298
LA en
NO Melchor J, Parnell WJ, Bochud N, Peralta L, Rus G. Damage prediction via nonlinear ultrasound: A micro-mechanical approach. Ultrasonics. 2019 Mar;93:145-155
NO The authors acknowledge the Spanish Ministerio de Economía yCompetitividad for project DPI2014-51870-R and Junta de Andalucíafor projects P11-CTS-8089 and GGI3000IDIB. Melchor is grateful to theUniversity of Manchester for funding via the Engineering and PhysicalScience Research Council (EPSRC) grant reference EP/I01912X/1.Parnell is grateful to the EPSRC for his research fellowship (EP/L018039/1).
DS RISalud
RD Apr 9, 2025