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- Title
Modeling of Thermoelastoplastic Deformation of Reinforced Plates. 2. Statement of the Problem and a Method for Its Solution.
- Authors
Yankovskii, A. P.
- Abstract
A coupled initial-boundary value problem of thermoelastoplastic deformation of flexible reinforced plates is formulated. The possibility of weak resistance of structures of this kind to transverse shear is taken into account within the framework of the Ambartsumyan theory. The geometric nonlinearity is taken into account in the von Kármán approximation. The temperature over the thickness of the plates is approximated by polynomials of different orders. The solution to the two-dimensional problem is constructed using an explicit numerical scheme. We investigate the dynamic thermoelastoplastic behavior of plane criss-cross and spatially reinforced fiberglass and metal-composite plates bending under the action of an air blast wave. It is shown that, in order to adequately determine temperature in these structures, it should be approximated by polynomials of the 6–7th orders over the thickness of the plates. It is demonstrated that relatively thin composite plates are heated to a greater extent than relatively thick plates for the same maximum values of the intensity of deformations in the binder. The level of heating of reinforced structures is insignificant: for fiberglass plates, the temperature increment is 2–18°C, while for metal-composite structures, it is equal to 30°C. Therefore, the dynamic calculations of fiberglass plates under the action of loads, such as air blast waves, can be carried out without taking into account the thermal effect in the absence of additional heat sources of nonmechanical nature. In calculating the metal-composite plates, it is necessary to take into account the thermal effect but their thermal sensitivity can be ignored.
- Subjects
BLAST waves; COMPOSITE plates; DEFORMATIONS (Mechanics); GLASS fibers
- Publication
Journal of Mathematical Sciences, 2023, Vol 277, Issue 1, p60
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06816-0