Research of the stressed and deformed state of metal stripin the broaching process

Abstract

In papers [2,4,5] the solution relations and the algorithm of the method of block iterations of solving linear and nonlinear equations by the semivanalytic finite element method for curvilinear inhomogeneous prismatic bodies are realized. In paper [1], a numerical study of the convergence of solutions was performed, and a wide range of test problems for bodies with smoothly and abruptly changing physical and geometric characteristics in elastic and resilient-plastic formulation was considered. In paper [6], to confirm the reliability of the results obtained on the basis of the semi-analytical finite element method, the effectiveness of this approach for the calculation of curvilinear inhomogeneous prismatic objects is shown. Solving control problems of the theory of elasticity, thermoelasticity and thermoplasticity, as well as problems of shape change makes it possible to draw conclusions about the reliability of the results of the study of a selected class of objects based on the developed methodology and implements its application package.
 In this work, using the methodology outlined in the above works, the solution of the spatial problem of plastic deformation of a prismatic body was solved on the basis of the semi-analytical method of finite elements, and the process of broaching a strip in the process of metal embossing was analyzed. The purpose of this study is to determine the spatial picture of the stress-strain state of the strip during drawing and to compare the spatial resolution with the flat one. A comparison of the parameters of the stress-strain state of the workpiece during the broaching process, obtained in flat and spatial settings, allows us to conclude that the research must be carried out on the basis of spatial calculation.