A. On the modified Bessel functions of the first kind: We consider the functions v (t) t I (t) / I + 1 (t) where I are the modified Bessel functions of the first kind of order 0. We prove that v is strictly monotone and strictly convex on R+. These results have application in finite elasticity. B. On barrelling for a material in finite elasticity: In this paper we investigate the question of stability for a solid circular cylinder, composed of a particular homogeneous isotropic (compressible) nonlinearly elastic material, that is subjected to compressive end forces in the direction of its axis (so as to give fixed axial displacements at the ends).
Institute for Mathematics and Its Applications>IMA Preprints Series
Simpson, Henry C.; Spector, Scott J..
On the Modified Bessel Functions of the First Kind - dotepsilon- On Barrelling for a Material in Finite Elasticity.
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