AN APPROACH TO CALCULATION OF SPECIFIC WORK OF MATERIAL DAMAGE DURING FISH CUTTING
The paper shows the relevance of the development of a complex of mathematical models that allows calculating the specific work when cutting fish in order to determine the coefficient of efficiency of an elementary knife. An expression has been obtained for calculating the dimensionless specific work of muscle fibers destruction. A model for calculating this value for elastic fiber tear with a high deformation rate has been formulated. The specific work of viscous laceration at high cutting speed has been determined. A mathematical model for calculating the dimensionless specific work required for elastic fiber tear at not very high speeds has been obtained. The dimensionless specific work of viscous laceration of the fiber at not very low speeds has been calculated. The dependences of the dimensionless specific works of elastic tear and viscous laceration on the dimensionless strain rate have been determined by a numerical method. It has been found that with an increase in the dimensionless velocity, there is a nonlinear increase in the dimensionless specific work of viscous laceration. When the maximum value of the dimensionless specific fracture work, corresponding to the characteristic dimensionless speed, is reached, the viscous laceration changes to elastic fiber tear. In this case, with a further increase in the dimensionless velocity, the dimensionless specific work of elastic fracture changes nonmonotonically. With the values of measures of elasticity 3; 5; 8; 12 the maximum values of the specific work of destruction are 0.0694; 0.0417; 0.0262; 0.0173 and are achieved with a characteristic dimensionless speed values of 0.0982; 0.0549; 0.0331; 0.0218, while the minimum values of the dimensionless specific work of elastic tear are 0.05761; 0.02714; 0.01279; 0.00641 and are reached at dimensionless speed values of 0.248; 0.217; 0.187; 0.161 respectively. With an increase in measures of elasticity of the material, the maximum value of the dimensionless specific work of destruction and the minimum value of the work of elastic tear reduce significantly. Also, with an increase in measures of elasticity, the value of the characteristic dimensionless speed, at which a viscous laceration is replaced by an elastic tear, decreases.