Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics

Volume 24 / 1997

Janusz Dyszlewicz Applicationes Mathematicae 24 (1997), 251-265 DOI: 10.4064/am-24-3-251-265

Abstract

A second axially-symmetric initial-boundary value problem of linear homogeneous isotropic micropolar elastodynamics in which the displacement and rotation take the forms $\underline{u}=(0,u_θ,0)$, $\underline{φ}=(φ_r,0,φ_z)$ ((r,θ,z) are cylindrical coordinates; cf. [17]) is formulated in a pure stress language similar to that of [12]. In particular, it is shown how $\underline{u}$ and $\underline{φ}$ can be recovered from a solution of the associated pure stress initial-boundary value problem, and how a singular solution corresponding to harmonic vibrations of a concentrated body couple in an infinite space can be obtained from the solution of a pure stress problem.

Authors

  • Janusz Dyszlewicz

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