Determination of the orthotropic parameters of a representative sample by computed tomography

Abstract

© 2019 IOP Publishing Ltd. The simulation of the stress-strain state of porous media is actual problem nowadays. The application of the mathematical apparatus of continuum mechanics to such media will make it possible to extend the scope of the problems to be solved. In this paper we study method of determination of mechanical properties in representative element bases on computer tomography data. To this task algorithm to create finite element grid connected with the data of the computed tomography was developed. Orthotopic properties can be determined by using target function. Unknown components of the target function are orthotropic directions. These directions can be determined by minimization of the target function. Rotating the matrix of anisotropic constants leads to components of the orthotopic tensor in orthotopic axes. These tensors are compared using of stress invariant