One of the most perspective methods for investigation of regularities of plastic deformation in a wide spectrum of characteristics of materials and parameters of applied influences is mathematical modeling of mechanisms and processes defining the main phenomena of plasticity, including plastic deformation by crystallographic slip. Processes of plasticity by slip are determined mainly by generation, movement, interaction and annihilation of deformation defects, first of all dislocations and point defects. For this reason usage of mathematical models which base on equations of balance of deformation defects are effective for description of regularities of plastic deformation by slip. Adequacy and possibilities of the mathematical models which include the equations of balance of deformation defects are determined by choice of taken into account types of deformation defects, mechanisms of their generation and annihilation. The mathematical model involving the equations of balance of shear-producing dislocations, dislocations in dipole configurations of vacancy and interstitial type, interstitial atoms, mono- and bivacancies (for FCC metals) , in dispersion hardened alloys in addition dislocations prismatic loops of vacancy and interstitial type and also the equation for deformation rate and the equation describing applied influence is used for investigation of processes of plastic deformation by slip in FCC metals and dispersion hardened alloys on their basis . Differential equations of balance of deformation defects can be presented in general form as follows:formulawhere X is the vector of the variables describing the defect medium, Y is the vector of the variables describing applied influence, a is the value of shear strain , t is timeG(X ,Y ), A(X ,Y ) , R(X ,Y , a,t) are the functions of generation, annihilation and relaxation transformation of deformation defects. Explicit form of the equations is received with usage of the following main suppositions: 1) generation of deformation defects is carried out at creation of crystallographic slip zones; 2) annihilation of deformation defects is carried out in the deformation defect medium formed by defects of all slip zones; 3) the deformation defect medium is homogeneous and contains the same number of defects, as all slip zones taken together; 5) defects are generated when strain degree is increased , and them annihilation depends upon time; intensity of annihilation is inversely proportional of deformation rate , intensity of generation does not depend on it. Base mechanisms of annihilation of dislocations are climb of non-screw dislocations and cross slip of screw dislocations. In used model for annihilation of deformation point defects the following sinks are considered: 1) for interstitial atoms - non-screw dislocations, monovacancies, bivacancies; 2) for monovacancies - non-screw dislocations, interstitial atoms, monovacancies; 3) for bivacancies - non-screw dislocations, interstitial atoms. Complexes of defects which are formed by a meeting of two bivacancies or monovacancy and bivacancy are not considered. The involvement of thermodynamically equilibrium point defects in annihilation processes is taken into account. For annihilation of dislocations in dipole configurations the following mechanisms are considered: 1) decrease of a shoulder dislocation dipoles of vacancy type before their annihilation at absorption by them interstitials and dislocations dipoles interstitials type at absorption by them of monovacancies and bivacancies; 2) increase of a shoulder dislocation dipoles and loss of their stability. Similar mechanisms of annihilation are considered for dislocation prismatic loops at absorption by them of point defects. The equations of balance of deformation defects are written in the supposition, that all jogs on non-screw components of dislocation loop move together with the dislocation and produce point defects. The specialized complex of programs SPFCC for automation of research of regularities of plastic deformation by slip is created. Complex of programs SPFCC realize the model of plastic deformation by slip for deformation with constant strain rate, for constant applied stress, for constant applied loading in the cases of tension and compression. Complex of programs can be used by user who not has an experience in programming and solution of the differential equations. With use of program complex SPFCC computation experiments for the description of plastic behavior and evolution of deformation defects subsystem in FCC metals (Cu, Ni, Al) and dispersion hardened alloys on their basis is carried out. The received results of computer modeling correspond to experimental data.