Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics
Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 251-265
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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.
DOI :
10.4064/am-24-3-251-265
Keywords:
stress equations of motion problem (SEMP), micropolar elasticity theory
Janusz Dyszlewicz. Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics. Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 251-265. doi: 10.4064/am-24-3-251-265
@article{10_4064_am_24_3_251_265,
author = {Janusz Dyszlewicz},
title = {Stress equations of motion of {Ignaczak} type for the second axisymmetric problem of micropolar elastodynamics},
journal = {Applicationes Mathematicae},
pages = {251--265},
year = {1997},
volume = {24},
number = {3},
doi = {10.4064/am-24-3-251-265},
zbl = {0883.73006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-251-265/}
}
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