The article focuses on the numerical methods that are used to solve heat conduction nonlinear problems with the help of the h-matrix to account for the relaxation of thermal stresses in continuously welded rails. A general mathematical model on the basis of the heat conduction nonlinear equation is presented to calculate the thermal field in an infinite unlimited plate. The developed mathematical model can be applied to choose the implementation modes of the continuously welded rails into the optimal thermal mode.

No abstract

The article is devoted to the construction of the linear soil structure in complicated hydro geological conditions with the help of geosynthetic materials. This structure was proposed as an alternative to the applied extensive methods, such as the substitution of the roadbed soft soils for sand or rubble, or the installation of laying, characterized by high energy and material intensity, causing significant harm to the environment. The monitoring of the facility condition makes it possible to predict its high reliability and durability. The proposed structure and construction technology are described in the developed STO 80193846-007-2012 «The recommendations for the use of biopositive structures in complicated hydro geological conditions».