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Continuum Mechanics and Thermodynamics

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11.09.2019 | Original Article

An equilibrium of a micropolar elastic rectangle with mixed boundary conditions

verfasst von: Yu. M. Grigor’ev, A. A. Gavrilieva

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 6/2019

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Abstract

The analytical method for solving of plane static problem in the micropolar elasticity theory in a rectangle region when normal stresses, tangential components of displacements and couple stresses are specified on a boundary is presented. In this method the original problem is reduced to the sequent solution of scalar boundary value problems for the Laplace equation, the biharmonic equation and the Poisson equations. As an example the exact analytical solution expressed in terms of elementary functions in the case of particular boundary conditions is obtained. Numerical treatments with dimensionless parametric analysis show the values of micropolar effects such as size effect and stiffening.

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Titel: An equilibrium of a micropolar elastic rectangle with mixed boundary conditions
verfasst von: Yu. M. Grigor’ev
A. A. Gavrilieva
Publikationsdatum: 11.09.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Continuum Mechanics and Thermodynamics / Ausgabe 6/2019
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-019-00823-w

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