Abstract
The survey reflects the development of investigations carried out in the research laboratory of ChSTU during recent decades. In the main, the results can be reduced to a branching hierarchy of related rheological models; its first level (perfect plasticity, perfect viscosity) is followed by a set of models based on the concept of micro-inhomogeneity of real materials. The latter approach leads to more adequate description of plasticity and creep including some specific regularities inherent to materials which belong to different groups. On the base of general analysis of rheology of structures made of real materials, a set of new effective structural design methods has been suggested. The study is completed by damage accumulation and crack growth models related to the rheological model by common state variables .
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Gokhfeld, D.A., Sadakov, O.S., Cherniavsky, O.F. (1995). Related Mathematical Models for Solids and Structures Deformation and Failure Processes Under Repeated Loading. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_4
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