Rotationally Symmetric Motions and Their Blowup for Incompressible Nonlinearly Elastic and Viscoelastic Annuli

被引：0
|
作者：
Stuart S. Antman
机构：
[1] University of Maryland,Department of Mathematics, Institute for Physical Science and Technology, Institute for Systems Research
来源：
Journal of Elasticity | 2019年 / 135卷
关键词：
Rotationally symmetric motion of nonlinearly elastic and viscoelastic annuli; Blowup theorems; 34A34; 35B44; 35Q74; 74A05; 74B20; 74D10; 74H35;
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摘要：
This paper treats rotationally symmetric motions of incompressible, transversely isotropic, nonlinearly elastic and viscoelastic annuli subjected to the live loads of (time-dependent) centrifugal force and hydrostatic pressure. The incompressibility is responsible for some simplification of the analysis of such motions, which is nevertheless more complicated than that for radially symmetric motions. The theory is illustrated with blowup theorems, which have proofs different from those used for compressible media.
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页码：73 / 89
页数：16
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