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On finite element methods for plasticity problems. (English) Zbl 0355.73035

MSC:
74C99 Plastic materials, materials of stress-rate and internal-variable type
74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74R20 Anelastic fracture and damage
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References:
[1] Anderheggen, E., Kn?pfel, H.: Finite element limit analysis using linear programming. Int. J. of Solids and Structures8, 1413-1431 (1972) · Zbl 0255.73045
[2] B?cklund, J.: Mixed finite element analytis of elasto-plastic plates in bending. Chalmers Inst. of Technology, G?teborg, 1972.
[3] Ciarlet, P. G.: Sur l’?l?ment de Clough et Tocher. R. A. I. R. O. R-2 (1974), 19-24 · Zbl 0306.65070
[4] Duvaut, G., Lions, J. L.: Les in?quations en m?chanique et en physique. Paris: Dunod 1972 · Zbl 0298.73001
[5] Johnson, C.: Existence theorems for plasticity problems. Submitted to J. Math. Pures et Appl. · Zbl 0351.73049
[6] Johnson, C.: On the convergence of a mixed finite element method for platebending problems. Numer. Math.21, 43-62 (1973) · Zbl 0264.65070
[7] Strang, G.: The finite element method?linear and nonlinear applications, Proceedings of the International Congress of mathematicians, Vancouver, Canada, 1974 · Zbl 0285.41009
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