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  5. Sensitivity evaluation of a system of linear differential equations that imitates cement concrete interaction with external environment

Sensitivity evaluation of a system of linear differential equations that imitates cement concrete interaction with external environment

V.Yu. Dubnitskiy, V.O. Butenko, V.L. Cherniavskiy
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Structural functional models proposed for cement rock interaction with external environment. Models are presented in the form of weighted orggraphs. Some systems of linear differential equations were written to describe the model functioning in time. In preparation of equations we used the method of average values dynamics, determined the rigidity of obtained system. The system is found to be non-rigid. System condition in total is shown to be effected primarily by alterations in intensity of degradation processes. Not so decisive, but also important effect on system behavior is felt from alterations in intensity of creative processes at medium stage of process development, which is an indirect confirmation of cement concrete adaptation properties in the course of its existence.
Keywords: cement concrete, concrete adaptation, concrete corrosion, concrete corrosion models, graphs, oriented graphs, systems of linear differential equations, rigid systems of linear differential equations, numerical methods of solution for systems of linear differential equations