Mathematical Modeling of Plastic Deformation of a Tube from Dispersion-Hardened Aluminum Alloy in an Inhomogeneous Temperature Field

Abstract

The effect of temperature distribution on a stress–strain state tube made of disperse-hardened aluminum alloy subjected to internal pressure was investigated. The mathematical model is based on equations of physical plasticity theory and principles of mechanics of deformable solids. The results of this investigation demonstrate that varying the outer wall temperature in the range of 200 K at a fixed temperature of the inner wall leads to a significant change in the plastic resistance limit (for the considered tube sizes, this change is approximately 15%). An increase of the tube wall temperature reduces the resistance to plastic deformation. For the same absolute temperature difference between the outer and inner walls, the plastic resistance limit is less for the higher temperature of the inner wall of the tube. A decrease of the distances between the hardening particles at the same volume fraction of second phase leads to a significant increase in the pressure required to achieve plastic deformation of the tube walls. An increase in tube wall temperature reduces the resistance to plastic deformation. For the same absolute temperature difference between the outer and inner walls, the plastic resistance limit is lower for the higher temperature of the inner tube wall. The decrease of the distance between the hardening particles at the same volume fraction of the second phase leads to a significant increase in the pressure required to achieve plastic deformation of the tube walls.

Elastoplastic Deformation of Rotating Disk Made of Aluminum Dispersion-Hardened Alloys

“…In order to calculate stresses in the disk material, we used the approach described in detail in [58][59][60][61]. Based on this approach, stresses in the disk material were calculated using solid mechanics equations [62][63][64][65]. In order to calculate stresses in the disk material, we used the approach described in detail in [58][59][60][61].…”

“…In order to calculate stresses in the disk material, we used the approach described in detail in [58][59][60][61]. Based on this approach, stresses in the disk material were calculated using solid mechanics equations [62][63][64][65].…”

Statistical and Microstructural Analyses of Al–C–Cu Composites Synthesized Using the State Solid Route

“…In the PM method, the matrix and the reinforcing material are mixed, compacted, and subsequently sintered to obtain a consistent material [ 6 , 7 ]. Mechanical alloying is the process in which a reinforcement is introduced into the metal matrix by means of high-energy mechanical milling of the powders to later compact and sinter them, this type of compound is known as dispersion-hardened materials [ 8 , 9 ]. Materials reinforced by dispersion of reinforcing particles belong to the group of composite materials that are manufactured mainly using powder metallurgy (PM) techniques.…”

Crystal Plasticity

“…Masood Chaudry et al [3] have compared the results of Electron Backscatter Diffraction measurements and viscoplastic self-consistent calculations upon analysis of Ca-induced plasticity in Mg alloys, while a similar approach was also applied by Galán-López and Hidalgo [4] to stainless steel. Other examples of such works are modeling the local deformation and transformation behavior of cast metal matrix composite by using a continuum mechanics-based crystal plasticity model (Qayyum et al [5]) or mathematical modeling of plastic deformation of a tube from dispersion-hardened aluminum alloy in an inhomogeneous temperature field (Matvienko et al [6]). Ou et al [7] have incorporated a crystal plasticity finite element model for predicting a crack initiation in additively manufactured IN718 alloy, while Kosuge et al [8] have utilized strain gradient plasticity theory based on the finite element method to estimate a behavior of steel structures subjected to large complicated pre-strains.…”