PSI - Issue 59

274 Oleh Yasniy et al. / Procedia Structural Integrity 59 (2024) 271–278 Author name / Structural Integrity Procedia 00 (2023) 000 – 000 deformation, depending on the proportion of destroyed inclusions. In particular, the dependences of instantaneous deformation value on initiation stress are established by Yasnii et al. (2004). Subsequently, they were used to predict the plastic deformation of this material in the form of: ( ) ( ) , (1) The average of relative error of plastic deformation prediction according to the proposed model are 21.4%. 3. Experimental Approach ANSYS software complex was used to predict jump-like deformation, in which groups of finite element models were developed to determine the main patterns of influence of parameters of the structural heterogeneity of the simulated environment on the stressed-strain state by Yasniy et al. (2010). The deformation of the AMg6 alloy was calculated by FEM. FEM calculations were performed using the software package ANSYS ver. 11.0. The calculation model was created based on experimental data of the number of inclusions according to the histogram of their distribution depending on the initial shape factor; the model with the number of inclusions N =100 was used for the calculation. The shape of the calculation model was taken in the form of a square, and the coordinates of the placement of inclusions inside the model were set according to the two-dimensional normal distribution law. Figure 3,a shows a sketch of the calculation model, and Figure 3,b shows its finite element implementation in the ANSYS software complex. The calculation model (Fig. 3) has 115731 elements.

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b

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Fig. 3. Design model: a - sketch of the design model of the material with inclusions; b - two-dimensional finite element model of material with inclusions

Calculations were performed in an elastic-plastic formulation using iterative calculations of deformation increment and redistribution of the stress field in the matrix and inclusions. The force was applied to the upper horizontal line of the model, the lower line was fixed, and its vertical movement (along the Y axis) was limited (Fig. 3, b). In order to reproduce the deformation diagram, an iterative stress of 229 MPa to 345 MPa was applied to the design model in increments of 1 MPa. Figure 4 shows a three-dimensional histogram of the destruction of inclusions