Nowa metoda wyznaczania krzywej naprężenie-odkształcenie przy ścinaniu
New method of determining of the stress-strain curve for shear
A simple formula (Eq. 2.13), is derived which enables determination of the stress–strain curve for simple shear from the known distribution of the angle of the total shear on the lateral surface of the plastically twisted conical bar and measured final torque. This formula gives good results for materials whose τ (tg γ) diagram can be well fitted by a power type curve. For other materials the method gives approximate results. Certain possible applications of the above mentioned formula and its modifications are indicated.
References
A. Nadai, Theory of flow and fracture of solids, Vol. l, 2 ed., McGraw-Hill, New York 1950.
Z. Marciniak, Influence of the sign change of the load on the strain hardening curve of a copper test piece subject to torsion, Arch. Mech. Stos., 13, 6, 743 -752, 1961.
Z. Marciniak, Wyznaczanie tłoczności blachy z próby skręcania, Obróbka plastyczna, 5, 3, 363-372, 1965.
H.W. Swift, Length changes in metals under torsional overstrain, Engineering, 4, 253-257, 1947.
R. Hill, The mathematical theory of plasticity, Oxford 1950.
M. T. Huber, Teoria sprężystości, cz. 2, wyd. 2, PWN, Warszawa 1954.
В. В. Соколовскнй, Некоторые задачи теорий пластичности со степенным упрочнением материала, Прик. Мат. Мех., 13, 6, 657-658, 1949.
J. Klepaczko, Wpływ prędkości odkształcania na krzywą umocnienia dla aluminium, Rozpr. Inżyn., 12, 3, 455-467, 1964.
W.J. McGregor Tegart, Elements of mechanical metallurgy, The Macmillan Company, New York 1966.
J. Litoński, Wpływ ciśnienia hydrostatycznego na kształt krzywej umocnienia miedzi, Rozprawa Doktorska, IPPT PAN, Warszawa 1970.