Cauchy problem for modeling of unsteady mass transfer processes in an unbounded plate by the integral laplace transform method

The article outlines the formulation and solution of the problem of physical and mathematical modeling of non-stationary processes of mass transfer of chemical components of the structure of reinforced concrete enclosing structures under the influence of factors (chemical, biological) of the operating environment. The theory of operational calculus (integral transformations) is used as a mathematical apparatus for jointly solving Cauchy and Laplace problems. To solve the problem and study the processes considered in the article, a dimensionless plate with a dimensionless concentration of aggressive components on its surface was chosen as an idealized model of the enclosing structure. Carbon dioxide, dissolved in the liquid and penetrating with it into the material of the structure through pores and microcracks, was chosen as an aggressive component acting on the enclosing structure. The final solutions of the considered boundary value problems are presented for the case of constant values of the kinetic coefficients of external and internal mass transfer. The results presented in this work can be used in the development of software for predicting the strength characteristics of enclosing structures operating in aggressive environments. Thanks to the obtained solutions to the problems of non-stationary mass transfer processes, using the example of the consequences of carbon dioxide corrosion, it is possible to consider the time period of the life cycle of buildings and structures, the timing of repair work with greater accuracy.