Journal of Elasticity

, Volume 135, Issue 1–2, pp 73–89 | Cite as

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

  • Stuart S. AntmanEmail author


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.


Rotationally symmetric motion of nonlinearly elastic and viscoelastic annuli Blowup theorems 

Mathematics Subject Classification

34A34 35B44 35Q74 74A05 74B20 74D10 74H35 



I am indebted to a referee who discovered a serious gaffe in the first version of this work.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Institute for Physical Science and Technology, Institute for Systems ResearchUniversity of MarylandCollege ParkUSA

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