In this paper we study the deformation of right porous cylinders subjected to a prescribed thermal field. We assume that the cylinder is filled by an inhomogeneous anisotropic porous material. In the first part of the paper we study the problem of extension-bending-torsion, when the thermal field is independent of the axial coordinate and then we study the problem of extension-bending-torsion-flexure when the thermal field is considered linear in the axial coordinate. The considered problems are reduced to some generalized plane strain problems in the cross-section of the cylinder. Our analysis shows how the considered thermal fields influence the deformation of the porous cylinders.

After the outbreak of COVID-19 in Italy, thousands of Romanian citizens who worked in Northern Italy, Spain or Germany returned to Romania. Based on the time-dependent susceptible–infected–recovered—SIR model, this paper compares the evolution of the COVID-19 disease between Romania and Italy, assuming that the parameter value of R₀ in the time-dependent SIR model decreases to R₁ < R₀ after publicly announced restrictions by the government, and increases to a value of R₂ < R₁ when the restrictions are lifted. Among other things, we answer the questions about the date and extent of the second peak in Italy and Romania with respect to different values of R₂ and the duration of the restrictions.

In this paper, we consider the bending theory of Mindlin-type elastic plates. We study the spatial evolution of the solution of a non-standard problem. This problem is characterized by some constraint conditions in which the displacement and velocity at a given time are proportional with their respective initial values. The study is organized in two parts: in the first part we consider the materials with internal energy density positive definite and in the end we study the strongly elliptic materials. Using numerical analysis for some materials, we compare the different Saint-Venant-type decay rates obtained.

An anisotropic and nonhomogeneous compressible linear thermo‐microstretch elastic cylinder is subject to zero body loads and heat supply and zero lateral specific boundary conditions. The motion is induced by a time‐dependent displacement, microrotation, microstretch, and temperature variation specified pointwise over the base. Further, the motion is constrained such that the displacement, microrotation, microstretch and temperature variation and their derivatives with respect to time at points in the cylinder and at a prescribed time are given in proportion to, but not identical with, their respective initial values. Two different cases for these proportional constants are treated. It is shown that certain integrals of the solution spatially evolve with respect to the axial variable. Conditions are derived that show that the integrals exhibit alternative behavior and in particular for the semi‐infinite cylinder that there is either at least exponential growth or at most exponential decay.

We study the uniqueness and the continuous dependence problems for the thermo-microstretch elastic processes backward in time. The data are given for the final time t = 0 and we want to study the solution at the previous moments. We transform the problem in a boundary-initial value problem by an appropriate change of variables. The uniqueness theorems presented in this article extend in a particular case the uniqueness theorem of Passarella and Tibullo (2010) and we also discuss a different class of problems than the one considered by them. We find some estimates that prove the continuous dependence of solution with respect to the final data.