An exact solution for a model of pressure-dependent plasticity in an un-steady plane strain process

European Journal of Mechanics - A/Solids - Tập 29 - Trang 966-975 - 2010
Sergei Alexandrov1, David Harris2
1Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526 Moscow, Russian Federation
2School of Mathematics, University of Manchester, Alan Turing Building, Manchester M13 9PL, UK

Tài liệu tham khảo

Alexandrov, 2003, Comparison of double-shearing and coaxial models of pressure-dependent plastic flow at frictional boundaries, Trans. ASME J. Appl. Mech., 70, 212, 10.1115/1.1532319 Alexandrov, 2005, Singular solutions in an axisymmetric flow of a medium obeying the double shear model, J. Appl. Mech. Tech. Phys., 46, 766, 10.1007/s10808-005-0133-2 Alexandrov, 2009, The determination of the thickness of a layer of intensive deformations in the vicinity of the friction surface in metal forming processes, J. Mach. Manuf. Reliab., 38, 277, 10.3103/S105261880903011X Alexandrov, 2006, Comparison of solution behaviour for three models of pressure-dependent plasticity: a simple analytical example, Int. J. Mech. Sci., 48, 750, 10.1016/j.ijmecsci.2006.01.009 Alexandrov, 2002, Singular solutions for plane plastic flow of pressure-dependent materials, Doklady-Physics, 47, 308, 10.1134/1.1477887 Alexandrov, 2003, Compression of a mean-stress sensitive plastic material by rotating plates, Mech. Solids, 38, 40 Alexandrov, 2005, Qualitative distinctions in the solutions based on the plasticity theories with Mohr-Coulomb yield criterion, J. Appl. Mech. Tech. Phys., 46, 883, 10.1007/s10808-005-0148-8 Alexandrov, 2007, Viscoplasticity with a saturation stress: distinguished features of the model, Arch. Appl. Mech., 77, 35, 10.1007/s00419-006-0078-9 Alexandrov, 2001, Singular plastic flow fields near surfaces of maximum friction stress, Int. J. Non-Linear Mech., 36, 1, 10.1016/S0020-7462(99)00075-X Collins, 1977, On the influence of hardening and anisotropy on the plane-strain compression of thin metal strip, Trans. ASME J. Appl. Mech., 44, 271, 10.1115/1.3424037 Harris, 2005, A hyperbolic well-posed model for the flow of granular materials, J. Eng. Math., 52, 107, 10.1007/s10665-004-3717-6 Hill, 1950 Kao, 1990, Influence of superimposed hydrostatic pressure on bending fracture and formability of a low carbon steel containing globular sulfides, Trans. ASME J. Eng. Mater. Tech., 112, 26, 10.1115/1.2903182 Lyamina, 2007, An approach to prediction of evolution of material properties in the vicinity of frictional interfaces in metal forming, Key Eng. Mater., 345–346, 741, 10.4028/www.scientific.net/KEM.345-346.741 Moylan, 2003, A new approach for studying mechanical properties of thin surface layers affected by manufacturing processes, Trans. ASME J. Manuf. Sci. Eng, 125, 310, 10.1115/1.1559161 Oldroyd, 1956, Non-Newtonian flow of liquids and solids, vol. 1, 653 Roberts, 1992, Benchmark tests for 3-D, elasto-plastic, finite-element codes for the modeling of metal forming processes, J. Mater. Process. Tech., 34, 61, 10.1016/0924-0136(92)90090-F Shield, 1955, Plastic flow in a converging conical channel, J. Mech. Phys. Solids, 3, 246, 10.1016/0022-5096(55)90035-1 Spencer, 1964, A theory of the kinematics of ideal soils under plane strain conditions, J. Mech. Phys. Solids, 12, 337, 10.1016/0022-5096(64)90029-8 Spencer, 1982, Deformation of ideal granular materials, 607 Spitzig, 1976, The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory, Metallurgical Trans., 7A, 1703, 10.1007/BF02817888 Trunina, 2008, Formation of a finely dispersed structure in steel surface layers under combined processing using hydraulic pressing, J. Mach. Manuf. Reliab., 37, 160, 10.3103/S1052618808020118 Valiev, 2000, Bulk nanostructured materials from severe plastic deformation, Progress Mater. Sci., 45, 103, 10.1016/S0079-6425(99)00007-9