Closed-form solution for the micropolar plates: Carrera unified formulation (CUF) approach
| Autor: | Erasmo Carrera, V. V. Zozulya |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Couple stress
Order theory Differential equation Rotation field Mechanical Engineering Mathematical analysis Thin walled 02 engineering and technology 01 natural sciences Physics::Fluid Dynamics 020303 mechanical engineering & transports 0203 mechanical engineering 0103 physical sciences Closed-form expression 010301 acoustics Rotation (mathematics) Elastic modulus Mathematics |
| Zdroj: | Archive of Applied Mechanics. 91:91-116 |
| ISSN: | 1432-0681 0939-1533 |
| DOI: | 10.1007/s00419-020-01756-6 |
| Popis: | Navier’s closed-form solution for the higher order theory of micropolar plates based on the CUF approach has been developed here. Obtained using a principle of virtual displacements the 2D system of the differential equations for the higher order theory of micropolar elastic plates is solved here for the case of simply supported plates using Navier’s method of the variables separation. For the higher order theory of micropolar plates developed here, which is based on CUF, some numerical examples have been done and the influence the rotation field on the stress–strain fields has been analyzed. Methods of determination of the classical and micropolar elastic moduli of different materials have been analyzed, and available experimental data have been presented in Nowacki’s notations. The obtained equations can be used for calculating the stress–strain and for modeling thin walled structures in macro-, micro- and nanoscale when taking into account micropolar couple stress and rotation effects. |
| Databáze: | OpenAIRE |
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