CT-Based reconstruction of elastic properties of inhomogeneous material using FEM

Abstract

Numerical modeling of inhomogeneous materials has become widespread in clinical practice. Homogenization methods allow averaging mechanical characteristics based on numerical models constructed according to NDT methods. In this case, it is assumed that a digital twin can be obtained by CT data. The work considers a method for reconstructing elastic properties based on the FEM. The approach involves discretization according to the level of material periodicity. In this case, a representative cell is selected, in the region of which a grid is constructed. Each FE has specified elasticity indices corresponding to the digital twin data. The inhomogeneity of the mechanical properties’ distribution is established based on the uneven distribution of the strain field values under the application of specified boundary conditions. The described approach was adapted for use within the method for constructing a separate FE, taking into account the inhomogeneous properties of the medium. Thus, numerical modeling of material inhomogeneity can be implemented based on cell discretization by one FE. Model calculations were carried out with determination of the convergence to the existing approaches’ data. Modeling of the fabric porosity distribution showed reliable results of numerical calculation, determining an error of about 12% relative to values obtained by applying the mechanical mixture formula. Thus, the presented approach allows combining the use of digital twin with homogenization methods for reconstruction of the inhomogeneous mechanical properties.
The research was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities, project No. FZSM-2023-0009.

Speaker

Oleg Gerasimov
Kazan Federal University
Kazan

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