Fast Fracture of a Strip of Viscoplastic Work-Hardening Material

1981 ◽  
pp. 773-783
Author(s):  
J. Aboudi ◽  
J. D. Achenbach
Keyword(s):  
Work Hardening ◽  
Hardening Material ◽  
Fast Fracture

A Comparative Study of Some Variational Principles in the Theory of Plasticity

1950 ◽  
Vol 17 (1) ◽  
pp. 64-66
Author(s):  
Rodney Hill
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Comparative Study ◽  
Work Hardening ◽  
Variational Principles ◽  
General Boundary ◽  
Plastic State ◽  
General Boundary Conditions ◽  
Hardening Material ◽  
Maximum Work

Abstract The variational principle of Markov for velocity distributions in a plastic state is extended to a work-hardening material and to more general boundary conditions. A relationship is shown to exist between Markov’s principle and the maximum work principle of Hill.

In-Plane Torsion Testing of Sheet Metal

1977 ◽  
Vol 19 (5) ◽  
pp. 213-220 ◽  
Author(s):  
R. Sowerby ◽  
Y. Tomita ◽  
J. L. Duncan
Keyword(s):  
Finite Element ◽  
Sheet Metal ◽  
Work Hardening ◽  
Finite Element Approximation ◽  
Stress And Strain ◽  
Element Approximation ◽  
The Finite Element Method ◽  
Hardening Material ◽  
Torsion Testing ◽  
Stress And Strain Distribution

In this paper, the ‘in-plane’ torsion testing of sheet metal is examined. The test itself was first proposed by Marciniak in order to ascertain the work hardening behaviour and fracture strain of sheet metals. In the original work, the analysis was based on the assumption that the material was rigid-work hardening. The present work attempts a more rigorous solution, assuming the material to be elastic-work hardening. A finite-element approximation is employed to calculate the stress and strain distribution across the sheet metal annulus at various stages in the deformation process. A comparison is made between the results from the finite-element method and those based on a rigid-work hardening material. For certain annulus geometries, excellent agreement is obtained between both sets of results.

Isothermal Hydrodynamic Lubrication in Hydrostatic Extrusion of a Work-Hardening Material

1979 ◽  
Vol 101 (3) ◽  
pp. 386-389 ◽  
Author(s):  
S. Thiruvarudchelvan
Keyword(s):  
Film Thickness ◽  
Pressure Distribution ◽  
Numerical Method ◽  
Work Hardening ◽  
Critical Speed ◽  
Hydrodynamic Lubrication ◽  
Hydrostatic Extrusion ◽  
Extrusion Pressure ◽  
Hydrodynamic Conditions ◽  
Hardening Material

Using a numerical method the film thickness and the pressure distribution in hydrostatic extrusion of a work-hardening material under hydrodynamic conditions are determined. A minimum or critical speed for full fluid lubrication to develop is predicted. The effect of the length of die-land on the critical speed, and the effect of speeds above the critical speed on the extrusion pressure are also presented.

Path-dependent J-integral evaluations around an elliptical hole for large deformation theory

2016 ◽  
Vol 25 (3-4) ◽  
pp. 77-81
Author(s):  
David J. Unger
Keyword(s):  
Work Hardening ◽  
Deformation Theory ◽  
Elliptical Hole ◽  
Exact Expression ◽  
J Integral ◽  
Resistance Curve ◽  
Hardening Material ◽  
Initial Stage ◽  
Path Dependent ◽  
Crack Tip Blunting

AbstractAn exact expression is obtained for a path-dependent J-integral for finite strains of an elliptical hole subject to remote tensile tractions under the Tresca deformation theory for a thin plate composed of non-work hardening material. Possible applications include an analytical resistance curve for the initial stage of crack propagation due to crack tip blunting.

Plastic Deformation when Cutting into an Inclined Plane

1967 ◽  
Vol 9 (1) ◽  
pp. 1-10 ◽  
Author(s):  
W. B. Palmer
Keyword(s):  
Plastic Deformation ◽  
Plastic Flow ◽  
Work Hardening ◽  
Slip Line ◽  
Inclined Plane ◽  
Line Field ◽  
Hardening Material ◽  
Slip Line Field ◽  
Theory Of Plasticity

Plastic flow and tool forces were observed as an orthogonal tool cut slowly into an inclined plane of En 9 steel. A slip-line field is constructed which represents the observed flow, and on the basis of the theory of plasticity for work-hardening material estimates of stress are consistent with observed tool forces.

scholarly journals On Wedge-indentation of Work-hardening Material

1976 ◽  
Vol 42 (496) ◽  
pp. 351-357 ◽  
Author(s):  
Ken HORII ◽  
Yasuyuki TOMODA ◽  
Tomoharu YAMADA
Keyword(s):  
Work Hardening ◽  
Hardening Material ◽  
Wedge Indentation

Incremental Stress-Strain Law Applied to Work-Hardening Plastic Materials

1959 ◽  
Vol 26 (4) ◽  
pp. 594-598
Author(s):  
Chintsun Hwang
Keyword(s):  
Work Hardening ◽  
Yield Condition ◽  
Transverse Load ◽  
Rational Approach ◽  
Total Stress ◽  
Stress Strain ◽  
Hardening Material ◽  
Plastic Materials ◽  
Von Mises ◽  
Supported Work

Abstract For problems involving work-hardening plastic materials, the incremental stress-strain law is considered to be a more rational approach than the conventional total stress-strain law. Up to the present the incremental stress-strain law was not subject to widespread use because it is mathematically inconvenient to handle. In this paper a method is developed in which the incremental law is applied to a work-hardening material in plane stress corresponding to the yield condition of von Mises. The method is illustrated by an analysis of the plastic bending of a simply supported work-hardening circular plate under uniformly distributed transverse load. The resulting difference-differential equations are solved by the NCR 304 digital computer.

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