Abstract
The stress redistribution over time in a viscoelastic transversally isotropic hyperboloid of revolution is studied. The material has the property of slipping creep in the planes perpendicular to the isotropy plane. The body is subjected to uniaxial tension. An analytical solution is obtained on the basis of the Boltzmann-Volterra principle and the operator chain-fraction method. In calculating the stress concentration in the hyperboloidal body, the properties of the material are described by integral operators with a Rabotnov kernel.
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