MATHEMATICAL SIMULATION OF THE PROCESS OF MUSCLE FIBER DESTRUCTION DURING FISH CUTTING
The paper shows the relevance of mathematical simulation of modes of muscle fiber destruction during fish cutting. The muscle tissue of raw materials has been described by the Maxwell-Thomson viscoelastic rheological model. Two modes of the material fiber breaking have been determined - viscous laceration and elastic tear. Viscous laceration provides a high quality of cut surface. A complex of mathematical models that allow calculating the time intervals for the onset of viscous laceration and elastic tear depending on the structural and rheological properties of muscle tissue and the rate of its deformation by the cutting organ, has been obtained. Models have been developed that describe the mode of fiber destruction, which is characterized by an impact deformation of the material. The simulation results show that with an increase in the dimensionless speed, the quality of the cut surface first increases due to a reduction in the viscous laceration time, and then, when the characteristic value is reached and the further increase in the speed, the cut quality deteriorates due to the onset of elastic tear of fiber. It has been found that an increase in the measure of material elasticity, an increase in the dimensionless cutting speed, and also a change in the dimensionless criteria of material strength lead to a decrease in the quality of the cut surface. It is shown that with an increase in the magnitude of the impact relative deformation, the time interval of viscous laceration decreases nonmonotonically and tends to zero. It has been determined that with an increase in the Young’s and retarded elastic modules of the material, the time interval for the onset of viscous laceration decreases significantly. With an increase in the coefficient of dynamic viscosity of muscle tissue, viscous laceration occurs later. With the values of the strength criteria equal to 3; long modulus of elasticity equal 63158 N / m2; measures of elasticity 3, 5, 8, 12, the values of the characteristic dimensionless speed are 0.095, 0.055, 0.032, 0.021, while the values of the dimensionless time interval corresponding to the change in the destruction mode from viscous laceration to elastic tear are 10, 20, 30, 45, respectively.