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Inflation and eversion of spherical shells of a special compressible material

✍ Scribed by Jeremiah G. Murphy

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
796 KB
Volume
30
Category
Article
ISSN
0374-3535

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✦ Synopsis

A study is made of the qualitative features of the inflation of a shell of the so-called material of type II. This material has a strain energy function which is linear in i t , i 3 and arbitrary in i2, where i~, i2 and i 3 are the three principal invariants of the stretch tensors. For a specific form of the arbitrary function, a closed-form solution to the equations of equilibrium describing spherical eversion can also be found. By using this solution, a comparison can be made between the qualitative features of the regular and everted shells under internal pressure. It is found that the stress distribution in both cases is different and that a larger pressure can be sustained by the everted shell. However eversion has no effect on the other features studied.

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(2.l) c~--c3=4#, g"(3)=ΒΌ2+3#,

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