Stressed and strained state of layered cylindrical shell under local convective heating

The fundamental relations of the quasi-static problem of thermoelasticity are written for a finite layered orthotropic cylindrical shell of an antisymmetric structure. Under convective heat transfer on the surfaces of this shell and under a linear dependence of temperature on the transverse coordinate, the basic system of equations for the integral characteristics of temperature is given. The method is proposed for solving the formulated problems of thermoelasticity and thermal conductivity, using the double finite integral Fourier transform with respect to the corresponding coordinates of the transformation and Laplace transform with respect to the time. The results of a numerical analysis of temperature, deflections, and stresses for the considered two-layer shell hinged at the edges under local heating by the initially specified temperature field are presented.

Section: Numerical Analysis Of the Thermoelastic State Of A Two-layer...mentioning

confidence: 99%

“…The thermoelastic properties of a functional-gradient isotropic cylindrical shell locally heated by heat sources are considered in [14]. The stress-strain state of a layered cylindrical surface under its local convective heating is investigated in [15]. Detailed overviews of various models and methods are given in [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Determination and analysis of the thermoelastic state of layered orthotropic cylindrical shells

Musii,

Zhydyk,

Svidrak

et al. 2023

“…In the paper [14], local heating by heat sources of a functionally gradient isotropic cylindrical shell is considered. In the paper [15], the stress-strain state of a layered cylindrical shell under local convective heating is examined.…”

Section: Introductionmentioning

confidence: 99%

Quasi-static problem of thermoelasticity for layered shallow cylindrical shells of irregular structure

Musii¹,

Zhydyk²,

Voloshyn³

et al. 2023

For rectangular layered shallow cylindrical shells of irregular structure, the quasi-static problem of unbound thermoelasticity is formulated. As a mathematical model, the equations of the shear theory of shallow shells of Timoshenko type are used. The closed solution for the formulated problem is found by the methods of integral transformations. The distribution of temperature, displacements, forces and moments in a two-layer cylindrical shell under local convective heating is analyzed numerically.

“…The solution to the dynamic problem of thermomechanics for an electroconductive non-ferromagnetic plate under the action of electromagnetic impulses of microand nanosecond duration was constructed [14]. In [15], the stress-strain state of a layered cylindrical shell under local convective heating was investigated. A more detailed review of various models and methods of studying the non-homogeneous thin-walled structures is given in works [1, 2, 16,17].…”

Section: Introductionmentioning

confidence: 99%

Temperature stresses in a rectangular two-layer plate under the action of a locally distributed temperature field

Musii¹,

Zhydyk²,

Drohomyretska³

et al. 2023

Self Cite

A rectangular isotropic two-layer plate of an irregular structure is considered, the edges of which are freely supported, and a constant temperature is maintained on them. Two-dimensional Kirchhoff-type thermoelasticity equations and two-dimensional heat equations written for an inhomogeneous material were used to study the temperature stresses in the plate. Using the method of double trigonometric series in spatial variables and the Laplace integral transformation over time, the general solutions of boundary value problems of thermoelasticity and heat conductivity for this plate under the action of a locally distributed temperature field specified at the initial moment of time are written down. The normal stresses in the layers of the plate are numerically analyzed depending on the geometric parameters, heat transfer coefficient, and time.