Longitudinal stress pulse propagation in nonuniform elastic and viscoelastic bars

Mao, Minglei; Rader, Dennis

doi:10.1016/0020-7683(70)90028-4

Cited by 13 publications

(4 citation statements)

References 5 publications

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“…A A4 Eleiche theory and for torsional waves when the fundamental mode of vibration is considered. Although this similarity has been noted before (Hauser 1966, Mao andRader 1970), it does not seem to have been exploited in a practical situation. It is the purpose of this paper to examine such a possibility through an elementary approximate analysis, and to present an example for its application.…”

Section: Introductionsupporting

confidence: 68%

Impedance matching in non-homogeneous elastic bars

Eleiche¹

1975

J. Phys. D: Appl. Phys.

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Uniform elastic bars are sometimes used as mechanical guides for stress waves. Along physically non-homogeneous bars, however, elastic disturbances continuously suffer from distortion during propagation. This can be avoided if, in addition to this non-homogeneity, geometrical non-uniformity is also artificially introduced in order to keep the 'mechanical impedance' constant along the bar. An elementary analysis is presented to illustrate this possibility for initially non-dispersive waves, followed by an application in the field of materials testing at elevated temperatures using a split Hopkinson bar.

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Section: Introductionsupporting

confidence: 68%

Impedance matching in non-homogeneous elastic bars

Eleiche¹

1975

J. Phys. D: Appl. Phys.

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“…The material is represented by the standard linear solid model, i.e., equation (3). For this model, the loss angle "arctan[Im(E)/Re(E)] has the maximum…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Some general results for elastic junctions were obtained by Andersson and Lundberg [2]. Wave propagation in non-uniform viscoelastic bars was studied by Mao and Rader [3]. The possibility that di!erent junctions may have the same transmission properties was investigated in the elastic case by Nygren et al [4].…”

Section: Introductionmentioning

confidence: 96%

Optimization of Viscoelastic Junctions With Regard to Transmission of Wave Energy

Nygren

Lundberg

Andersson

2001

Journal of Sound and Vibration

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“…Interest has also been devoted to similar problems for viscoelastic bar transitions [9,10]. This paper deals with the transmission of quasi-longitudinal elastic waves through transitions between uniform and collinear bar segments with given characteristic impedances.…”

Section: Introductionmentioning

confidence: 99%