Analytical solution for circular cavity under internal pressure

[roger1318]

A book listed the problem infinite circular cavity under internal pressure and said there is a analytical solution for stress and displacements but it didn't give any reference.

I have searched many papers and online materials but still couldn't find anything.

The closest thing I found in Timoshenko's theory of elasticity book is the analytical solution for cylinder under uniform inner and outer pressure modeled as a plain strain problem.

I am wondering if there is connection between the two problems, and if not, could anyone give some hints or reference?

Thanks very much

 

[Navin A S]

!Unfortunately, it is difficult to answer this question without more information about the book or the specific problem you are trying to solve. However, there have been several studies published on the subject of infinite circular cavities under internal pressure. One example is a 1995 paper by B.J. Everett and G.H. Paulino titled "Analytical Solution for the Stress-Strain State in an Infinite Circular Cavity Under Internal Pressure" which can be found in the International Journal of Solids and Structures. It provides an analytical solution for the stress-strain state in an infinite circular cavity under an internally applied pressure. Other papers that may provide additional insight include "Analytical Solutions for the Stress-Strain State in an Infinite Circular Cavity Under Internally Applied Pressure" (2003) and "Analysis of an Infinite Circular Cavity Under Internal Pressure Using the Finite Element Method" (2011).