The paper presents theoretical studies of a new deformation process combining the stages of equal-channel angular pressing and the Linex scheme. To analyze the resulting deformation forces, the stages of pressing in a matrix and compression by a chain conveyor were separately considered. Equations for determining the forces acting on the drive pulley, ECA matrix and the chain element link were obtained. A trial calculation and comparative analysis with the previously known rolling-ECAP process showed that the new ECAP-Linex process enables a stable deformation process with lower forces and a smaller channel junction angle in the matrix. Verification of the obtained values by equations using FEM computer simulation in the Deform program was performed. Comparison of values showed that the force values in the calculation and simulation have a high level of convergence. In all three considered details the difference value did not exceed 3%. The materials of the article were presented at the International Scientific and Practical Conference "Advanced Engineering Technologies AET 2022" held in St. Petersburg on November 21–25, 2022.