Dynamics of a viscoelastic spherical shell with a nonconvex strain energy function

DOI10.1090/QAM/1622558zbMath0962.74024OpenAlexW2346150165MaRDI QIDQ4497918

Jang-Horng Yu, Yohannes Ketema, Roger L. Fosdick

Publication date: 24 August 2000

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1622558

zbMATH Keywords

hysteresischaotic motionphase transitionradial motionpseudoelastic behaviormicrostructural coefficientslarge amplitude motionincompressible viscoelastic spherical shellnonconvex strain energy functionsmall periodic vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Nonlinear constitutive equations for materials with memory (74D10) Problems involving hysteresis in solids (74N30)

Related Items (2)

Forced radial motions of nonlinearly viscoelastic shells ⋮ Rotationally symmetric motions and their blowup for incompressible nonlinearly elastic and viscoelastic annuli

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