712 research outputs found
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
We perform a detailed analysis of first order Sobolev-regular infinitesimal
isometries on developable surfaces without affine regions. We prove that given
enough regularity of the surface, any first order infinitesimal isometry can be
matched to an infinitesimal isometry of an arbitrarily high order. We discuss
the implications of this result for the elasticity of thin developable shells
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