Parametric homogenization of the equations of nonlinear elasticity and deformational plasticity to the modeling of structurally heterogeneous materials

A. N. Vlasov, D. B. Volkov-Bogorodskiy
2021 INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2020  
The article is devoted to the development of the asymptotic averaging method for nonlinear equations of the theory of elasticity and the deformational theory of plasticity used to calculate the effective mechanical characteristics of the materials described by these equations. Based on this method, an algorithm is formulated for calculating a nonlinear diagram of effective rigidity depending on the stress-strain state for a composite material, and a radial multipliers method for effective
more » ... for effective solution of the problem on a cell with multilayer inclusions of spherical and cylindrical shape.
doi:10.1063/5.0047907 fatcat:mosbmltrevhm3nitor6zal4mlu