scholarly journals Acoustic Scattering by an Axisymmetric Thin Elastic Shell

1971 ◽  
Vol 50 (1A) ◽  
pp. 153-153
Author(s):  
S. Chang ◽  
B. S. Chambers ◽  
B. J. Maxum
Keyword(s):  
Elastic Shell ◽  
Acoustic Scattering ◽  
Thin Elastic Shell

A Solution for the Thin Elastic Shell With Surface Loads

1964 ◽  
Vol 31 (1) ◽  
pp. 91-96 ◽  
Author(s):  
C. R. Steele
Keyword(s):  
Temperature Distribution ◽  
Elastic Foundation ◽  
Wide Class ◽  
Elastic Shell ◽  
Asymptotic Series ◽  
Surface Load ◽  
Thin Elastic Shell ◽  
Curvature Coordinate ◽  
Particular Solution ◽  
Surface Loads

The problem considered is the thin elastic shell described by the equations of Novozhilov with an arbitrary but smooth midsurface that has a surface load and/or temperature distribution which varies rapidly with respect to one curvature coordinate. The particular solution is obtained in the form of an asymptotic series in powers of a parameter which is a measure of the rapidity of variation in the distribution. The wide class of problems, for which only the first term of the asymptotic series need be retained, is analogous to the beam on an elastic foundation. However, the advantage of the complex representation of Novozhilov is demonstrated by an example in which the shell is loaded and heated on strips with several conditions of constraint.

Modelling the transient interaction of a thin elastic shell with an exterior acoustic field

2008 ◽  
Vol 75 (3) ◽  
pp. 275-290 ◽  
Author(s):  
David J. Chappell ◽  
Paul J. Harris ◽  
David Henwood ◽  
Roma Chakrabarti
Keyword(s):  
Acoustic Field ◽  
Elastic Shell ◽  
Thin Elastic Shell ◽  
Transient Interaction

Cell membrane wrapping of a spherical thin elastic shell

Soft Matter ◽  
2015 ◽  
Vol 11 (6) ◽  
pp. 1107-1115 ◽  
Author(s):  
Xin Yi ◽  
Huajian Gao
Keyword(s):  
Cell Membrane ◽  
Detailed Analysis ◽  
Theoretical Study ◽  
Elastic Shell ◽  
Adhesion Energy ◽  
Membrane Tension ◽  
Thin Elastic Shell

A theoretical study on cell membrane wrapping of a spherical thin elastic shell indicates that stiff nanocapsules achieve full wrapping easier than soft ones. The detailed analysis demonstrates how the wrapping degree depends on the size and stiffness of the nanocapsules, adhesion energy and membrane tension.

Scattering of a Plane Acoustic Wave by a Spherical Elastic Shell Near a Free Surface

1995 ◽  
Author(s):  
H. Huang ◽  
G. C. Gaunaurd
Keyword(s):  
Free Surface ◽  
Separation Of Variables ◽  
Mathematical Problem ◽  
Elastic Shell ◽  
Plane Waves ◽  
Spherical Wave ◽  
Acoustic Scattering ◽  
Scattered Wave ◽  
Image Method ◽  
Spherical Elastic Shell

Abstract The acoustic scattering by a submerged spherical elastic shell near a free surface, and insonified by plane waves at arbitrary angles of incidence is analyzed in an exact fashion using the classical separation of variables technique. To satisfy the boundary conditions at the free surface as well as on the surface of the spherical elastic shell, the mathematical problem is formulated using the image method. The scattering wave fields are expanded in terms of the classical modal series of spherical wave functions utilizing the translational addition theorem. Quite similar to the problem of scattering by multiple spheres, the numerical computation of the scattered wave pressure involves the solution of an ill-conditioned complex matrix system the size of which depends on how many terms of the modal series are required for convergence. This in turn depends on the value of the frequency, and the proximity of the spherical elastic shell to the free surface. The ill-conditioned matrix equation is solved using the Gauss-Seidel iteration method and Twersky’s method of successive iteration double checking each other. Backscattered echoes from the spherical elastic shell are extensively calculated and displayed. The result also demonstrates that the large amplitude low frequency resonances of the echoes of the submerged elastic shell shift upward with proximity to the free surface. This can be attributed to the decrease of added mass for the shell vibration.

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