An Extended Boundary Integral Equation for Structures with Oscillatory Free-Surface Pressure

2016 ◽  
Vol 26 (1) ◽  
Author(s):  
Chang-Ho Lee ◽  
J Nicholas Newman
Keyword(s):  
Integral Equation ◽  
Free Surface ◽  
Boundary Integral Equation ◽  
Surface Pressure ◽  
Boundary Integral

Elastic fracture mechanics analysis by the boundary integral equation method

1979 ◽  
Vol 369 (1737) ◽  
pp. 243-260 ◽  
Keyword(s):  
Integral Equation ◽  
Free Surface ◽  
Stress Intensity ◽  
Fracture Mechanics ◽  
Boundary Integral Equation ◽  
Poisson Ratio ◽  
Numerical Technique ◽  
Boundary Integral ◽  
Penny Shaped Crack ◽  
Curved Crack

The boundary integral equation (b. i. e.) method of stress analysis is shown to be a powerful numerical technique for solving three-dimensional fracture mechanics problems. Comparison with established solutions for an embedded penny-shaped crack and a semicircular surface crack in a rectangular prism show that accurate values of stress intensity factor along the front of a crack can be obtained by this method. Stress intensity factors are also presented for semi-elliptical surface cracks is internally pressurized cylinders. Computed hoop strains for such cracked cylinders show very good agreement with experimental measurements. The high accuracy of the b. i. e. method makes it possible to study numerically the nature of the stress (strain) singularity at the intersection between a crack front and a free surface. Results obtained for both straight and curved crack fronts show that stresses (strains) at and very near the free surface are somewhat less singular that the inverse square root form normally assumed, an effect which becomes more pronounced with increasing Poisson ratio.

Dynamics of a Pulsating Bubble Beneath a Free Surface

2002 ◽  
Author(s):  
M. T. Shervani-Tabar
Keyword(s):  
Integral Equation ◽  
Free Surface ◽  
Boundary Integral Equation ◽  
Cavitation Bubble ◽  
Constant Pressure ◽  
Integral Equation Method ◽  
Ideal Gas ◽  
Boundary Integral ◽  
Equation Method ◽  
Bubble Collapse

In this paper Dynamics of a rebounding cavitation bubble beneath a free surface is carried out by using Boundary Integral Equation Method. The bubble contains a mixture of constant pressure vapour and ideal gas. Results show that the free surface is pushed up during the growth of the bubble and collapses with the bubble collapse. It is found that the free surface rebounds in synchronisation with the rebound of the bubble.

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