Supercomputer multiscale modeling of composite structures strength

Abstract

A method for multiscale supercomputer calculations of the composite structures strength has been developed. A feature of the proposed methodology is of division of the solution algorithm into 2 parts: solving problems at the micro level (in turn, these problems can consist of several sub-levels of calculation) and solving the problem at the macro level. Such a division, in which the solution of some problems is the input to problems at a higher level, helps to significantly reduce the consumption of computing resources. When solving problems, curvilinear anisotropy is taken into account at the macro level (structures), as well as at the micro level (composite material). The 3D finite element method was used for the numerical solution. To take into account curvilinear anisotropy, a special assembly algorithm is used, which requires the construction of anisotropy blocks (cells). A method is proposed for taking into account integral boundary conditions when solving problems of the linear theory of elasticity. A finite element modeling of the stress-strain state and damageability of a cylindrical structure with power ring elements has been carried out. As an example, textile composite materials (CM) with carbon and glass fibers are considered.