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On numerically accurate finite element solutions in the fully plastic range. (English) Zbl 0284.73048

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R20 Anelastic fracture and damage
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[1] Argyris, J.H.; Marcal, P.V.; King, I.P.; Zienkiewicz, O.C.; Vallipian, S.; King, I.P., Elasto-plastic solutions of engineering problems, initial-stress, finite element approach, (), Intern. J. num. meth. in eng., 1, 75-100, (1969) · Zbl 0247.73087
[2] Argyris, J.H.; Scharpf, D.W., Methods of elastoplastic analysis, Zamp, 23, 517-552, (1972) · Zbl 0249.73077
[3] Iwata, K.; Osakada, K.; Fujino, S., Analysis of hydrostatic extrusion by the finite element method, J. of eng. for ind., 94, 697-703, (1972), Trans. ASME, Ser. B
[4] Tracey, D.M., On the fracture mechanics analysis of elastic-plastic materials using the finite element method, ()
[5] Herrmann, L.R., Elasticity equations for incompressible and nearly incompressible materials by a variational theorem, Aiaa j., 3, 1896-1900, (1965)
[6] Zienkiewicz, O.C., The finite element method in engineering science, (1971), McGraw-Hill London · Zbl 0237.73071
[7] Desai, C.S.; Abel, J.F., Introduction to the finite element method, (1972), Van Nostrand Reinhold New York
[8] Reissner, E., On a variational theorem in elasticity, J. math. phys., 24, 90-95, (1950) · Zbl 0039.40502
[9] Hodge, P.G.; White, G.N., A quantitative comparison of flow and deformation theories of plasticity, J. appl. mech., 17, 180-184, (1950) · Zbl 0037.27304
[10] Prager, W.; Hodge, P.G., Theory of perfectly plastic solids, (1968), Dover New York
[11] Hill, R., Some basic principles in the mechanics of solids without a natural time, J. mech. phys. solids, 7, 209-225, (1959) · Zbl 0086.17301
[12] R.M. McMeeking and J.R. Rice, Finite element formulations for problems of large elastic-plastic deformation, in preparation. · Zbl 0303.73062
[13] McMeeking, R.M., An Eulerian finite element formulation for problems of large displacement gradients, () · Zbl 0747.73019
[14] Hill, R.; Hill, R., On constitutive inequalities for simple materials, I and II, J. mech. phys. solids, J. mech. phys. solids, 16, 315-332, (1968) · Zbl 0167.54302
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