Abstract
A calculation method is proposed, based on the basic starting points of the modern phenomenological theory of a non-linearly deformable elastic-creeping body, taking into account corrosion damage under environmental and force influences in conditions of long-term operation. The influence of reinforcement is investigated based on the compatibility of concrete and reinforcement deformation. Mathematical dependences are obtained that allow us to develop solving equations. These basic phenomenological resolving equations allow us to calculate reinforced concrete elements that work without cracks and with cracks from the point of view of the nonlinearity and rheology of concrete deformation. A method of linearization of the problem based on integral estimates is proposed, which provides fixation of rheological and corrosion processes in the considered period of operation. The implementation of this method will allow us to find a numerical solution to the problem using the method of integral estimates based on the step-by-step method and successive approximations. An example of the calculation of a reinforced concrete flexible foundation on a soil base is given for the considered service life and the presence of corrosion damage. Such an approach in the design of reinforced concrete structures will not only allow for more fully considering the real conditions of their work, identifying additional reserves of load-bearing capacity, but will also open up additional opportunities for analyzing and predicting their functioning at various stages of exploitation.