A new hybrid method for transient heat conduction problems is developed and applied to
simulate a Plug and Abandonment (P&A) operation of oil wells. An oil well is approximated …

Approximate analytical solutions are presented for the transient thermoelastic problem of
rectangular plates with time-dependent convection and radiation boundaries. To include the …

The analytical solutions are presented for the distributions of temperature, displacements,
and stresses in simply-supported layered rectangular plates under thermo-mechanical …

The paper is devoted to further elaboration of the method of matched sections as a new
technique within the finite element method. Like FEM it supposes that: a) the complex …

In this paper, analytical solutions are presented for temperature and thermal behavior of a
thermosensitive multilayered annular disc due to point heat source. Convective heating is …

The fractional theory addresses microscopic physical processes and predicts delayed
responses to stimuli observed in nature. This study establishes a mathematical model that …

The stress field of a functionally graded material rotating disk is studied for different cases of
non-uniform thickness variation in the magneto-thermal environment. Three different cases …

The uncoupled quasi-static problem of thermoelasticity for a hollow sphere was solved,
taking into account the temperature dependence of the thermomechanical characteristics of …

This paper deals with the analysis of temperature, deflection and thermal stresses of a
multilayered annular disk. The thermomechanical properties of the disk are taken to be …

The paper is devoted to further elaboration of the Method of Matched Sections as a new
branch of finite element method in application to the transient 2D temperature problem. The …