scholarly journals Modeling of the Eigenfield of a Prestressed Hyperelastic Membrane Encapsulating a Liquid

2006 ◽  
Vol 6 (4) ◽  
pp. 367-385 ◽  
Author(s):  
Ivan. P. Gavrilyuk ◽  
M. Hermann ◽  
A. Timokha ◽  
V. Trotsenko
Keyword(s):  
Boundary Problem ◽  
Approximate Method ◽  
Cylindrical Cavity ◽  
Circular Membrane ◽  
Singular Behavior ◽  
Operator Formulation ◽  
Circular Cylindrical Cavity

AbstractA spectral boundary problem on the eigenfield of an inflated/deflated stretched circular membrane, which is clamped to a circular cylindrical cavity filled with a liquid, is examined. The paper presents an operator formulation of the problem and proposes a new semi-analytical approximate method. The method captures singular behavior of the solution in the pole and at the fastening contour of the membrane.

Coaxial probe in circular cylindrical cavity

2006 ◽  
Vol 42 (18) ◽  
pp. 1039 ◽  
Author(s):  
J.H. Kim ◽  
H.J. Eom ◽  
M.Y. Park
Keyword(s):  
Cylindrical Cavity ◽  
Circular Cylindrical Cavity ◽  
Coaxial Probe

scholarly journals Eigen Value Approach to Generalized Thermoelastic Interactions in an Unbounded Body with Circular Cylindrical Cavity without Energy Dissipation

2017 ◽  
Vol 22 (4) ◽  
pp. 811-825 ◽  
Author(s):  
S. Chakraborty
Keyword(s):  
Energy Dissipation ◽  
Cylindrical Cavity ◽  
Generalized Thermoelasticity ◽  
Displacement Component ◽  
Eigen Value ◽  
The Laplace Transform ◽  
Circular Cylindrical Cavity ◽  
Matrix Differential ◽  
Vector Matrix ◽  
Without Energy Dissipation

Abstract The theory of generalized thermoelasticity in the context of the Green-Naghdi model -II (thermoelasticity without energy dissipation) is studied for an infinite circular cylindrical cavity subjected to two different cases of thermoelastic interactions when the radial stress is zero for (a) maintaining constant temperature and (b) temperature is varying exponentially with time. The Laplace transform from time variable is used to the governing equations to formulate a vector matrix differential equation which is then solved by the eigen value approach. Numerical computations for the displacement component, temperature distribution and components of thermal stress have been made and presented graphically.

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