PSI - Issue 40

Aleksandr Zalazinskiy et al. / Procedia Structural Integrity 40 (2022) 461–469 Aleksandr Zalazinskiy at al. / Structural Integrity Procedia 00 (2022) 000 – 000

465 5



  exp





   ,

          exp (4) where is stress intensity; 0 is the yield strength of the visco-plastic medium; i  – the intensity of deformation rates averaged over the volume of the visco-plastic medium;  – temperature; l l l , ,    – empirical coefficients. 3. Software and results of mathematical modeling of the hydro-mechanical pressing process The improvement of HMP technology requires mathematical and simulation modeling of the technological process. This is necessary to predict the quality of products and improve technological equipment. As a result of the work performed, the software corresponding to the set goals was created. To study the processes of pressure treatment of composites, a hybrid modeling complex has been developed (Byvaltsev, 2008, Kryuchkov, 2014, Zalazinskiy , 2009), which implements the integration of CAE systems with the SolidWorks solid-state modeling package and the PYTHON programming language mathematical library. To solve the problems of multi-criteria optimization of technological processes, an expert system is included in the modeling complex (Zalazinskiy, 2019, 2020). The deformation scheme for HMP into a conical matrix, as well as the geometric parameters of the workpiece, the deforming matrix, and the deformation focus, are shown in Figure 2. The main geometric parameters are identified: D – the diameter of the workpiece; d – the diameter of the rod; L – the length of the working part of the contact surface of the workpiece; l c – the length of the calibration belt of the deforming matrix. The deformation focus is considered in a spherical coordinate system r, θ,  . In the diagram, the focus of deformation is highlighted by arcs of circles. The flow pattern of material particles in the deformation center is assumed to be radial. The current line 7 gives an idea of the movements of material particles in the cavities of the container and the matrix. The material of the deformable workpiece has rigid-elastic properties specified by the material model (1). The material of the visco-plastic coating of the workpiece is given by the ratio (4). It is assumed that the thickness of the visco-plastic coating of the workpiece h D  ; at the same time, the diameter of the inner cavity of the container D D c  .  l i l l sv i 0

Fig. 2. Diagram of the deformation of the workpiece when pressing the rod in a conical matrix: 1 – workpiece; 2 – viscoplastic coating; 3 – container; 4 – deformation focus; 5 – matrix; 6 – the extruded part of the workpiece; 7 – the current line of the particle of the deformable material The energy-power parameters of the process of pressing blanks from metal raw materials are studied in (Avitzur, 1965, Johnson, 1962). For the considered flow scheme of the plastically deformed material, the compression stresses p was calculated, as which the average value between its upper and lower estimates was used (Zalazinskiy, 2000). The voltage p resulted in a dimensionless form, as follows: