Investigation of the deformation of elastic rods under thermomechanical loading

Abstract

Abstract This article aims to provide information on ongoing research with coverage of preliminary results. Analysis of the state of the rods theory is one of the intensively developing parts of mechanics since the second half of the XIX-th century. Soviet scientists made a significant contribution to the development of rods theory and applied calculation methods. Based on these methods, a number of practically important problems have been solved. The works were mainly related to the theory of elastic rods. From the analysis of the work performed, we proposed a solution to the deformation of elastic rods under thermomechanical loading in a nonlinear formulation from the standpoint of modern systems of numerical analysis. The purpose of this article is to develop the methods for calculating nonlinear problems of the deformation of rods under thermomechanical loading using modern problemsolving systems. The solution of the nonlinear problem in the general setting is extremely hard. Therefore, it is necessary to develop a methodology that takes into account the features of deformation and will be available to specialists when designing the elements of engineering and building of rod structures.