scholarly journals Transient Response of a Fluid-Filled, Thick-Walled Spherical Shell Embedded in an Elastic Medium

2016 ◽  
Vol 12 ◽  
pp. 06004
Author(s):  
Ako Bahari ◽  
Gaëlle Lefeuve-Mesgouez ◽  
Arnaud Mesgouez ◽  
Neil Popplewell
Keyword(s):  
Spherical Shell ◽  
Elastic Medium ◽  
Transient Response

A comprehensive time-domain elasto-acoustics study of a fluid-filled spherical shell embedded in an elastic medium

2020 ◽  
Vol 132 ◽  
pp. 106002
Author(s):  
Ako Bahari ◽  
Gaëlle Lefeuve-Mesgouez ◽  
Arnaud Mesgouez ◽  
Neil Popplewell
Keyword(s):  
Spherical Shell ◽  
Elastic Medium ◽  
Time Domain

Transient Response of a Rigid Spherical Inclusion in an Elastic Medium

1965 ◽  
Vol 32 (3) ◽  
pp. 637-642 ◽  
Author(s):  
C. C. Mow
Keyword(s):  
Exact Solution ◽  
Elastic Medium ◽  
Transient Response ◽  
Integral Method ◽  
Spherical Inclusion ◽  
Time History ◽  
Fourier Integral ◽  
Incident Pulse ◽  
History Of

The transient response of a rigid spherical inclusion of arbitrary density embedded in an elastic medium owing to an incident pulse is examined in this paper. The Fourier-integral method is used, and an exact solution of the response is obtained. It is found that the acceleration and velocity of the inclusion are substantially different from those of the medium. A slight difference in the time history of the displacement between the inclusion and the medium is also noted.

Transient Response of an Elastic Medium to Torsional Loads on a Cylindrical Cavity

1983 ◽  
Vol 50 (2) ◽  
pp. 397-404
Author(s):  
R. Parnes ◽  
L. Banks-Sills
Keyword(s):  
Elastic Medium ◽  
Transient Response ◽  
Static Solution ◽  
Step Function ◽  
Integral Representations ◽  
S Wave ◽  
Space Harmonic ◽  
Relative Contribution ◽  
Analytic Expressions ◽  
Torsional Loads

The transient response of an elastic medium to torsional line loads acting as a step function in time on the surface of an infinite cylindrical bore is obtained. The solution is seen to be composed of a superposition of space-harmonic applied tractions. Integral representations of the resulting displacement and stress fields are derived and numerical results are presented. The behavior in the vicinity immediately behind the outward propagating S-wave fronts is studied and analytic expressions for the resulting singularities and jumps across the fronts are given. These solutions may be used as the Green’s functions for more general spatial loading systems. The response is compared with the known static solution to determine the relative contribution of the transient effect.

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