Abstract
The paper is aimed at determination of minimal dimensions of a specimen subjected to the Rockwell hardness test. The problem is formulated within the framework of the theory of flow of rigid-perfectly plastic incompressible materials obeying the flow rule associated with the Tresca yield condition, and under the assumption of absence of friction between the cone and the specimen tested. Theoretical results are verified by means of experiments.References
A. G. ATKINS and D. TABOR, Plastic indentation in metals with cones, J. Mech. Phys. Solids, 13, 149 - 164, 1965.
D. TABOR, The hardness of metals, 1951.
D. S. DUGDALE, Cone indentation experiments, J. Mech. Phys. Solids, 2, 265 - 277, 1954.
F. J. LOCKETT, Indentation of rigid-plastic material by a conical indenter, J. Mech. Phys. Solids, 11, 345 - 355, 1963.
L. DIETRICH, J. MIASTKOWSKI, W. SZCZEPINSKI, Nośność graniczna elementów konstrukcji, Warszawa 1970.
R. T. SHIELD, On the plastic flow of metals under conditions of axial symmetry, Proc. Roy, Soc. 233A, N. 1193, 1955.
W. SZCZEPIŃSKI, Wstęp do analizy procesów obróbki, Warszawa 1967.
Z. MRÓZ, Graphical solution of axially symmetric problems of plastic flow, ZAMP, 18, 2, 1967.
K. BUNGARDT, Handbuch der Werkstoffprüfung, Berlin-Heidelbery, 416-420, 1955.
J. F. BISHOP, On the complete solution to problems of deformation of a plastic-rigid material, J. Mech. Phys. Solids, 2, 43 -45, 1955.
11. А. Ю. Ишлинский, Осесимметрическая задача пластичности и проба Бринелля. Прик, Мат. Мех., 18, вз, Ленинград 1944.
D. TABOR, The hardness of metals, 1951.
D. S. DUGDALE, Cone indentation experiments, J. Mech. Phys. Solids, 2, 265 - 277, 1954.
F. J. LOCKETT, Indentation of rigid-plastic material by a conical indenter, J. Mech. Phys. Solids, 11, 345 - 355, 1963.
L. DIETRICH, J. MIASTKOWSKI, W. SZCZEPINSKI, Nośność graniczna elementów konstrukcji, Warszawa 1970.
R. T. SHIELD, On the plastic flow of metals under conditions of axial symmetry, Proc. Roy, Soc. 233A, N. 1193, 1955.
W. SZCZEPIŃSKI, Wstęp do analizy procesów obróbki, Warszawa 1967.
Z. MRÓZ, Graphical solution of axially symmetric problems of plastic flow, ZAMP, 18, 2, 1967.
K. BUNGARDT, Handbuch der Werkstoffprüfung, Berlin-Heidelbery, 416-420, 1955.
J. F. BISHOP, On the complete solution to problems of deformation of a plastic-rigid material, J. Mech. Phys. Solids, 2, 43 -45, 1955.
11. А. Ю. Ишлинский, Осесимметрическая задача пластичности и проба Бринелля. Прик, Мат. Мех., 18, вз, Ленинград 1944.
