Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells

Abstract

We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces. We prove that if the surface is a smooth noncharacteristic region, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. The implications of this result for the elasticity of thin hyperbolic shells are discussed.

References in corpus (3)

• Space of Infinitesimal Isometries and Bending of Shells
• Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
• Linear Strain Tensors and Optimal Exponential of thickness in Korn's Inequalities for Hyperbolic Shells

Cited by in corpus (1)

• Linear Strain Tensors and Optimal Exponential of thickness in Korn's Inequalities for Hyperbolic Shells