Optimal Design of Specimens for Pure Shear Tests of Sheet Metals
A new type of simple specimens for experimental testing of plastic properties of sheet metals under pure shear conditions is proposed and optimized. The objectives of optimal design require possible uniformity of the shear stress distribution and possibly small effects of stress components other than σ12. Computations have been performed numerically with the use of two FEM systems for 4 types of specimens, which have been used in experimental tests for determining the yield shear stress Q of sheet metals. Conventional shear stress-displacement diagrams obtained in these tests have been compared with the results of numerical calculations.
References
W. SZCZEPIŃSKI, On deformation-induced plastic anisotropy of sheet metals, Arch. Mech., 45, 11 3-38, 1993.
R. HILL, A theory of yielding and plastic flow of anisotropic metals, Proc. Roy. Soc. London, A 193, 281-297, 1948.
R. HILL, The mathematical theory of plasticity, Oxford at the Clarendon Press, 1956.
A. LITEWKA, Plastic flow of anisotropic aluminium alloy sheet metals, Bull. Acad. Polon. Sci., 25, 475-484, 1977.
T. OTA, A. SHINDO, F. FUKUOKA, A consideration on anisotropic yield criterion, Proc. 9th Jap. Nat. Congr. Appl. Mech, 117-120, 1959.
J. WOODTHROPE and J. PEARCE, The anomalous behaviour of aluminium sheet under balanced biaxial tension, Intern. J. Mech. Sci, 12, 341-347, 1970.
R. HILL, Theoretical plasticity of textural aggregates, Math. Proc. Cambridge Phil. Soc., 85, 179-191, 1979.
M. GOTOH, A theory of plastic anisotropy based on a yield Junction of fourth order (plane stress state) - I, Intern. J. Mech. Sci., 19, 505-512, 1977.
K. MIYAUCHI, On a simple shear deformation, English text reprinted from Scientific Papers o(the Institute of Physical and Chemical Research (Rikagaku Kenkyusho, Wakoshi, Saitama, Yapan), 81, 57-67, 1987.
K. SATO, Y. MIYAKI, Y. TOYADARA, lnplane single shear deformation of Ti-6Al-YV alloy sheet under transformational superplasticity condition, Proc. 13th Riso International Symposium on Materials Science, Riso Nat. Lab. Roskilde, 423-429, Denmark 1992.
G. SOCHA, W. SZCZEPIŃSKI, On experimental determination of the coefficients of plastic anisotropy in sheet metals, [in press].