An equilibrium of a micropolar elastic rectangle with mixed boundary conditions

Autor:	Yu. M. Grigor’ev, A. A. Gavrilieva
Rok vydání:	2019
Předmět:	Laplace's equation Mechanics of Materials Plane (geometry) Mathematical analysis Biharmonic equation Scalar (physics) General Physics and Astronomy Boundary (topology) Elementary function General Materials Science Boundary value problem Rectangle Mathematics
Zdroj:	Continuum Mechanics and Thermodynamics. 31:1699-1718
ISSN:	1432-0959 0935-1175
DOI:	10.1007/s00161-019-00823-w
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cdc55392277869edf882643f506ef95a https://doi.org/10.1007/s00161-019-00823-w Zobrazit plný text záznamu Plný text ve formátu PDF