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

Applicationes Mathematicae (1997)

- Volume: 24, Issue: 3, page 251-265
- ISSN: 1233-7234

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topDyszlewicz, Janusz. "Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics." Applicationes Mathematicae 24.3 (1997): 251-265. <http://eudml.org/doc/219167>.

@article{Dyszlewicz1997,

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.},

author = {Dyszlewicz, Janusz},

journal = {Applicationes Mathematicae},

keywords = {stress equations of motion problem (SEMP); micropolar elasticity theory; initial-boundary value problem; displacement; rotation; cylindrical coordinates; associated pure stress initial-boundary value problem; singular solution; harmonic vibrations},

language = {eng},

number = {3},

pages = {251-265},

title = {Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics},

url = {http://eudml.org/doc/219167},

volume = {24},

year = {1997},

}

TY - JOUR

AU - Dyszlewicz, Janusz

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

JO - Applicationes Mathematicae

PY - 1997

VL - 24

IS - 3

SP - 251

EP - 265

AB - 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.

LA - eng

KW - stress equations of motion problem (SEMP); micropolar elasticity theory; initial-boundary value problem; displacement; rotation; cylindrical coordinates; associated pure stress initial-boundary value problem; singular solution; harmonic vibrations

UR - http://eudml.org/doc/219167

ER -

## References

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- [15] J. Mikusiński, Operational Calculus, Pergamon, New York, 1959.
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