# Mechanics of solid problem [closed]

A thick-walled cylinder is made of multiple layers of differing homogenous isotropic elastic solids and are assembled without any interference. If the internal and outer radii of each layer is known, what are the interface pressures between the layers given that the cylinder is subject to an internal pressure p.

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 We do not simply answer particular problems, but we will answer questions about basic concepts. If you can re-write this as a conceptual question then it can be re-opened. (Flag for moderator attention when you think it is ready.) – dmckee♦ Jun 27 '12 at 19:54 What is "internal pressure"? Do you mean "external pressure"? By "interference" do you mean the elastic properties of the two solids are not affected by the other? This is not the best term for this. The answer is found by solving for the momentum flow of each component of momentum inside the solid, which is a 2d Laplace equation, and it is analogous to making the cylinders uniformly resistive conductors and making the voltage on the surface of the outer circle proportional to the distance from the x-axis, with no current flowing through the hole in the center. This doesn't look like homework. – Ron Maimon Jun 28 '12 at 20:38 I am voting to reopen, this is a conceptual question--- how do you find the stress distribution in an inhomogenous solid made of isotropic homegenous materials when given external pressure? The subject is elasticity of continuous media, not mechanics per se, and it is not usually discussed at length in elementary courses, but in engineering courses. – Ron Maimon Jun 28 '12 at 20:40 I am a Mechanical Engineer and recognize this as a Mechanical / Civil Engineering homework question - likely from a solid mechanics class chapter on thick-walled vessels. However, I do believe the question, as-stated, is conceptual in nature; albeit, explaining the concept here would also give the complete answer. @dmckee, I am in agreement with Ron Maimon that this question is abstract enough for the forum - I will edit and suggest a revision to Nayan. – nicholas Jul 5 '12 at 21:27

## closed as too localized by dmckee♦Jun 27 '12 at 19:52

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