1967
DOI: 10.1115/1.3610050
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Computer Application to the Visioplasticity Method

Abstract: Procedures for using a computer for the complete solution to plane strain as well as axisymmetric deformation problems have been developed. The velocity, strain rate, total effective strain, and stress distributions were obtained for two commercially pure lead specimens extruded in a forward extrusion process using white lead in oil as a lubricant. The axisymmetric extrusion was carried out at a speed of 1/8 ipm through a conical die having a 45 deg half-cone angle with a 2:1 extrusion ratio, and the plane-str… Show more

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Cited by 46 publications
(4 citation statements)
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“…In practice the yield stress is likely to be determined by a functional describing the history of plastic strain, temperature and time, and thus may depend on heat transfer to the die. 3 However, it also appears that the use of equations (5) and (6) does not in fact really require any assumption regarding the uniqueness of the strain hardening curve, as expressed in the formula 5 = f («, «)• Can the author confirm this opinion? Such information is essential in providing an insight into the mechanics of the forming process and to determine the final mechanical properties of the product, as for example, texture, anisotropy, and the state of residual stresses.…”
Section: J Hilliermentioning
confidence: 98%
“…In practice the yield stress is likely to be determined by a functional describing the history of plastic strain, temperature and time, and thus may depend on heat transfer to the die. 3 However, it also appears that the use of equations (5) and (6) does not in fact really require any assumption regarding the uniqueness of the strain hardening curve, as expressed in the formula 5 = f («, «)• Can the author confirm this opinion? Such information is essential in providing an insight into the mechanics of the forming process and to determine the final mechanical properties of the product, as for example, texture, anisotropy, and the state of residual stresses.…”
Section: J Hilliermentioning
confidence: 98%
“…Apart from the total force required to achieve the forming process, the detailed stress and strain distributions within the deformation zone are required to optimize the process variables and avoid occurrence of defects. Shabaik and Thomsen [14] analysed specific problems of split axisymmetric extrusion of lead and aluminium using a computer-aided visioplasticity method. However, few analytical solutions dating back to 1947 [1] gave the stress distribution in the die zone.…”
Section: Introductionmentioning
confidence: 99%
“…Based on the location of the distorted grid lines (in terms of radial and axial directions), values of the flow function of the metal were calculated. 11,18) A smoothing procedure developed by Shabaik 19) was employed in these results, allowing the determination of an analytical expression for the flow function. Subsequent calculations, involving the velocity, strain rate and strain components and the effective strain, were conducted through the classical method proposed by Thomsen.…”
Section: Visioplasticity Techniquementioning
confidence: 99%
“…The visioplasticity, also called incremental grid method, 8,9) was originally proposed by Thomsen,11) based on the establishment of a velocity vector field on the meridian plane of the metal, followed by the calculation of the complete distribution of strain rate, strain and stress. The process is carried out by placing a grid pattern in the internal plane surfaces of sectioned samples.…”
Section: Introductionmentioning
confidence: 99%