Research of stamping of unequal channel bars. Part 3. Force parameters and shape change of the billet when extruding channels. 2. Determination of the extrusion force, maximum pressure on the matrix wall and the heights of the walls, taking into account the elastic deformation jf the matrix

On the basis of the system of equations of the theory of plastic flow, the forces, the maximum pressure on the wall of the matrix and the heights of the obtained walls when extruding channels are determined, taking into account the elastic deformation of the matrix. Keywords: die forging, extrusion, misalignment, punch, matrix, plane deformation, stresses. [email protected]

RADIAL EXTRUSION OF A PIPE BILLET WITH INTERNAL LEDGE. DETERMINATION OF KINEMATIC AND STRESS STATES

Using the theory of plastic flow by the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of the internal radial extrusion process of a pipe billet. The thrust force acting on the upper mandrel and the maximum pressure acting on the matrix wall are determined.

Theoretical aspects of obtaining a helical surface from a thin strip during sheet stamping

В статье рассмотрены теоретические аспекты получения винтовой поверхности из тонкой полосы при листовой штамповке. Также предложена модель для расчета компонентов напряженно-деформированного состояния полосы и отдельных технологических параметров. Для удобства расчетов предполагается, что полоса имеет достаточную длину и угол закручивания по всей длине полосы одинаков. Несмотря на значительные упрощения геометрического характера, задача о кручении полосы остается сложной, вследствие двумерности напряженного состояния, геометрической и физической нелинейности процесса деформирования. Ее дальнейшее решение целесообразно основывать на методе конечных элементов, ориентируясь на применение ЭВМ. Для замыкания системы уравнений, описывающих поведение дискретной модели полосы на шаге нагружения, необходимо связать напряжения и малые приращения деформаций в середине каждого элемента. Для этого используем теорию пластического течения, пренебрегая упругими составляющими деформаций вследствие их малости по сравнению с большими пластическими деформациями. The article deals with the theoretical aspects of obtaining a helical surface from a thin strip during sheet stamping. A model is also proposed for calculating the components of the stress-strain state of the strip and individual technological parameters. For convenience of calculations, it is assumed that the strip has a sufficient length and the angle of twisting along the entire length of the strip is the same. Despite significant geometric simplifications, the problem of band torsion remains complex due to the two-dimensionality of the stress state, the geometric and physical nonlinearity of the deformation process. Its further solution should be based on the finite element method, focusing on the use of computers. To close the system of equations describing the behavior of the discrete band model at the loading step, it is necessary to relate the stresses and small increments of deformations in the middle of each element. To do this, we use the theory of plastic flow, neglecting the elastic components of deformations due to their smallness in comparison with large plastic deformations.

Research of stamping of unequal channel bars. Part 3. Force parameters and shape change of the billet when extruding channels. 1. Kinematic and stress states of the billet

On the basis of the complete system of equations of the theory of plastic flow, the kinematic and stress states of the billet are determined when the channels are extruded under conditions of plane deformation of the misaligned position of the punch and the matrix. Keywords: die forging, extrusion, misaligned position, punch, matrix, plane deformation, plastic flow rates, stresses. [email protected]

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF THE DEFORMED STATE IN THE SECOND PERIPHERAL REGION OF PLASTIC DEFORMATION

Using the theory of plastic flow according to the method of A. L. Vorontsov, formulas are obtained that are necessary for calculating the accumulated deformations obtained by extruding with a counter-punch a peripheral region adjacent to a container with a matrix. The average accumulated deformation in both peripheral regions was determined.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF THE DEFORMED STATE IN THE FIRST PERIPHERAL REGION OF PLASTIC DEFORMATION

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the accumulated deformations obtained in the process of extrusion with a counter-punch of the peripheral region adjacent to the formed wall of the product.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE FOURTH CENTRAL REGION OF PLASTIC DEFORMATION

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of extrusion with the counter-punch of the central region of plastic deformation abutting against the working end face of the counter-punch.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE THIRD CENTRAL REGION OF PLASTIC DEFORMATION

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of extrusion with a counter-punch of the central region of plastic deformation adjacent to the formed wall of the product.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE SECOND PERIPHERAL REGION OF PLASTIC DEFORMATION

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of the extrusion process with counter-punch of the peripheral region adjacent to the container with the matrix. The maximum pressure acting on the matrix wall and the height of the peripheral region of plastic deformation are determined.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF KINEMATIC AND STRESS STATES IN THE FIRST PERIPHERAL REGION OF PLASTIC DEFORMATION

Formulas are obtained that relate the current geometric parameters of the extruded blank to the size of the stroke of the punch. Using the theory of plastic flow by the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of the extrusion process with the counter-punch of the peripheral region adjacent to the formed wall of the product.