Refined model of thermo-elastic-plastic deformation of flexible reinforced plates | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 28 > №3 / 2022 / Pages: 293-312 download

Refined model of thermo-elastic-plastic deformation of flexible reinforced plates


A coupled initial-boundary value problem of non-isothermal elastoplastic deformation of flexible reinforced plates is formulated using the refined theory of bending. The geometric nonlinearity of the problem is taken into account in the Karman approximation. The temperature of structures over the thickness is approximated by high-order polynomials. An explicit * Работа выполнена в рамках государственного задания (№ гос.регистрации 121030900260-6). 294 numerical scheme is used to solve the formulated nonlinear two-dimensional problem. Thermo-elastoplastic deformation of plane-cross and spatially reinforced metal-composite and fiberglass plates dynamically bent under the action of an air blast wave has been studied. It is shown that in order to adequately calculate the temperature in thin-walled structures, it must be approximated by polynomials of the 7th order in thickness; to adequately determine the strain of the composition components, it is necessary to use the refined theory of plate bending, the simplest version of which is the Ambartsumian theory. For fiberglass plates, the temperature increment during their dynamic bending is 3-18oC, and for metal-composite plates 30-35oC. Therefore, the dynamic elastic-plastic calculation of fiberglass structures under explosive loads can be carried out without taking into account the heat release in them. In similar calculations of metal-composite plates, the thermal sensitivity of the composition materials can be ignored, but the thermal effect must be taken into account.