Engineering Transactions, 43, 4, pp. 627-635, 1995

Transverse Deflection of a Cold-Worked Metal Plate Clamped Around Its Edge

R.L. Bish
Aeronautical and Maritime Research Laboratory, Melbourne

New principles are applied in an investigation of the general problem of a sheet of cold-rolled metal, clamped around its rim and displaced transversely. For the particular case of a circular cold-worked metal sheet clamped at its edge and displaced transversely at its centre by a flat-ended circular punch, it is predicted that the deflection will vary in proportion to the logarithm of radial distance from the punch axis, and that circles engraved on the sheet, concentric with the punch, will neither expand nor contract during deformation, while the punching load will remain proportional to the punch displacement and inversely proportional to the logarithm of the ratio of the clamp and punch diameters.

Full Text: PDF


P .G. HODGE, A picewise linear theory of plasticity for an initially isotropic material in plane stress, Int. J. Mech. Sci.1 22, 21-32, 1980.

R. HILL, Theoretical plasticity of textured aggregates, Math. Proc. Camb. Phil. Soc., 85, 179-191, 1979.

G. SOCHA and W. SZCZEPIŃSKI, On experimental determination of the coefficients of plastic anisotropy in sheet metals, Arch. Mech., 46, 1/2, 177-190, 1994.

R.L. BISH, Plane-stress deformation of a fiat plate by slip between elastic elements, Arch. Mech.,46, 3-12, 1994.

B. SPAIN, Vector analysis, D. Van Nostrand, 1965.

W. PRAGER, Recent developments in the mathematical theory of plasticity, J. Appl. Phys., 20, 3, 235-241, 1949.

W. ROSENHAIN, Introduction to physical metallurgy, Constable and Co. Ltd., 1915.

F. ADCOCK, The internal mechanism of cold-work and recrystallization in cupronickel, J. lnst. Metals, 27, 73-92, 1922.

K. BROWN, Role of deformation and shear banding in the stability of the rolling textures of aluminium and an Al-0.8% Mg alloy, J. lnst. Met., 100, 341-345, 1972.

I.F. FRENCH and P.F. WEINRICH, The tensile fracture mechanisms of fee metals and alloys a review of the influence of presssure, J. Aust. Inst. Metals, 22, 1, 40-50, 1977.

O. ENGLER, J. HIRSCH and K. LÜCKE, Texture development in Al-1.8wt% Cu depending on the precipitation state. II. Recrystallization textures, Acta Metall. Mater., 431 1, 121-138, 1995.

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland