Elastic waves in anisotropic media

Buchwald, V. T.

doi:10.1098/rspa.1959.0221

Cited by 136 publications

(18 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, along certain directions there are three phase velocities for each mode giving rise to pulses which separate into distinct parts and which decay with distance according to r-5 / 6 for cuspidal edges of the group velocity surface or as r 1/2 along directions corresponding to conical points [6]. Such behaviour has been seen in numerical calculations [7].…”

Section: Discussionmentioning

confidence: 59%

See 1 more Smart Citation

Numerical Calculation of Diffraction Coefficients in Anisotropic Media

Temple

White

1993

Review of Progress in Quantitative Nondestructive Evaluation

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 59%

“…(5) (6) These demonstrate that the processing works when the complications of anisotropic materials are absent.…”

Section: A(9tp)mentioning

confidence: 99%

Numerical Calculation of Diffraction Coefficients in Anisotropic Media

Temple

White

1993

Review of Progress in Quantitative Nondestructive Evaluation

View full text Add to dashboard Cite

“…Buckwald [83]. The good agreement shows that the axisymmetric finite element algo- The goal of all these techniques is to account for the con straining effect (stiffness) of the missing medium while preventing or minimizing the unwanted reflections at the artificial boundaries.…”

Section: Axisymmetric Formulationmentioning

confidence: 61%

“…This implies that only these two types of ma terials can possibly be modeled in an axisymmetric system. An explanation to this phenomenon is that the shear component (^^ -^^) is independent of the other displacements for isotropic and transversely isotropic materials [83], which is also the reason that the equation of the slowness surface for these two kinds of materials can be factorized. The separated wave front can be described by uq and is neglected in the axisymmetric geometry.…”

Section: Axisymmetric Formulationmentioning

confidence: 99%

Finite element study of ultrasonic imaging

1996

NDT & E International

View full text Add to dashboard Cite

“…Therefore, it follows from Eqs. ( 3 ) and ( 6 ) that stresses associated with P and SV waves are Y (7) It has also been shown that an SH wave travelling in a plane containing the zonal axis,z axis, of a transversely isotropic medium possesses a transverse displacement only, t h a t i s , f o r the coordinates i n Assume t h a t an SV wave i s incident on t h e plane boundary, the x-y plane i n Fig. 2 .…”

mentioning

confidence: 99%

39858 Acousto-ultrasonic input-output characterization of unidirectional fiber composite plate by SV waves

Liao

Williams²

1990

NDT International

View full text Add to dashboard Cite

A unidirectional fiberglass epoxy composite specimen is modelled as a homogeneous transversely isotropic continuum plate medium. Acousto-ultrasonic non-contact input-output characterization by tracing SV waves in the continuum is studied theoretically with a transmitting and a receiving transducer located on the same face of the plate. The isotropic plane of the equivalent continuum plate model lies in the midplane of the plate and is parallel to the top and bottom faces of the plate.The single reflection problem for an incident SV wave at a stress-free plane boundary in a semi-infinite transversely isotropic medium whose isotropic plane is parallel to the plar?e boundary is analyzed first. For all angles of incidence, the angle of reflection of the SV wave is equal to the angle of incidence of the SV wave. It is found that an obliquely incident SV wave results in a reflected SV wave and a reflected P wave for an angle of incidence of the incident SV wave less than the critical angle 5 2 " . when the angle of incidence of an incident SV wave is equal to or greater than the critical angle, there exists only an SV wave in the medium as the reflected P wave degenerates into a surface wave travelling parallel to the plane boundary. The amplitude of the surface wave decays exponentially with the perpendicular distance from the plane boundary. The amplitude 1 ratios of the reflected P and SV waves to the incident SV wave as a function of the angle of incidence are plotted from zero to the critical angle. The amplitude ratio of the reflected SV wave is found to be minus one when the angle of incidence is equal to or greater than the critical angle. mal to the plane boundary is checked.The balance in energy flux norAccordingly, the delay time for wave propagation between the transmitting and the receiving transducers is computed as if the SV waves were propagating in a half space. It is found that the directional dependence of the phase velocity of the SV wave propagating in the transversely isotropic medium has a significant effect on the delay time, as opposed to the directional independence of the phase velocity of a shear wave propagating in an isotropic medium.The displacements associated with the SV wave in the plate and which may be detected by the non-contact receiving transducer are approximated by an asymptotic solution for an infinite transversely isotropic medium subjected to a harmonic point load.The polar diagrams for the directivity function of the stresses due to SV waves in the plate are shown at frequencies of 0.75, 1 . 5 0 and 2.25 MHz. 2This study enhances the quantitative understanding of acousto-ultrasonic non-destructive evaluation (NDE) parameters such as the stress wave factor (SWF) and wave propagation in fiber reinforced polymeric, ceramic or metallic composites, which can be modelled as transversely isotropic media. 3

show abstract

Elastic waves in anisotropic media

Cited by 136 publications

References 3 publications

Numerical Calculation of Diffraction Coefficients in Anisotropic Media

Numerical Calculation of Diffraction Coefficients in Anisotropic Media

Finite element study of ultrasonic imaging

39858 Acousto-ultrasonic input-output characterization of unidirectional fiber composite plate by SV waves

Contact Info

Product

Resources

About