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

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Dyszlewicz J.

Applicationes Mathematicae

1996-1997

tom 24

nr 3

251-265

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.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Dyszlewicz J.

1 1997

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