Modeling of Thermoelastic-Plastic Deformation of Flat Rotating Reinforced Disks Taking into Account the Effect of Autofreting
摘要
The problem of calculating the thermoelastic-plastic state of a flat reinforced disk rotating at a constant angular velocity is formulated. The structure is rigidly fixed to the shaft or hub (possibly with tension); blades are attached to the outer edge of the disc blade. The materials of the components of the composition are homogeneous and isotropic and obey the hypothesis of a single curve; their thermomechanical state is described by the theory of small elastic-plastic strains. The reinforcement structures of the disc web have radial symmetry. A structural model of composite mechanics has been developed that takes into account the complex stress state in all materials of the components of the composition and allows one to describe the thermoelastic-plastic behavior of compositions even with spatial reinforcement structures. The formulated physically nonlinear problem is solved using the method of variable elastic parameters. Calculations of homogeneous and reinforced disks were carried out for three limit states: 1) for the limit elastic state; 2) for the limit state of autofrettage, when secondary plasticity first occurs during unloading; 3) for the limit state corresponding to the initial destruction of one of the components of the composition. The cases of reinforcement of the disk web along cross-criss rectilinear trajectories and logarithmic spirals, as well as along radial and/or circumferential directions, were investigated. The comparison was made for disks of the same mass. Discs made of magnesium or titanium alloys reinforced with steel wire or SiC-fibers are considered. It has been shown that at the temperature of the natural state, the highest load-bearing capacity is possessed by disks made of high-strength steel, and in the presence of thermal exposure, by reinforced Ti–SiC-disks, profiled so that the summary density of reinforcement in them is constant.