A finite element solution for plasticity with strain-hardening
Hlaváček, Ivan
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 14 (1980), p. 347-368 / Harvested from Numdam
Publié le : 1980-01-01
@article{M2AN_1980__14_4_347_0,
     author = {Hlav\'a\v cek, Ivan},
     title = {A finite element solution for plasticity with strain-hardening},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {14},
     year = {1980},
     pages = {347-368},
     mrnumber = {596540},
     zbl = {0471.73078},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1980__14_4_347_0}
}
Hlaváček, Ivan. A finite element solution for plasticity with strain-hardening. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 14 (1980) pp. 347-368. http://gdmltest.u-ga.fr/item/M2AN_1980__14_4_347_0/

1. I. Babuska, M. Práger and E. Vitásek, Numerical Processes in Differential Equations, S.N.T.L., Prague, 1 1966. | MR 223101 | Zbl 0156.16003

2. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland Publ.Comp., Amsterdam, 1978. | MR 520174 | Zbl 0383.65058

3. K. Gróger, Initial Value Problems for Elastoplastic and Elasto-Viscoplastic Systems. Nonlinear Analysis, Proc. Spring School, Teubner, Leipzig, 1979, pp. 95-127. | MR 578911 | Zbl 0442.73037

4. B. Halphen and Nguyen Quoc Son, Sur les matériaux Standard généralisés, J.Mécan., Vol. 14, 1975, pp. 39-63. | MR 416177 | Zbl 0308.73017

5. R. Hill, Mathematical Theory of Plasticity, Oxford, 1950. | MR 37721 | Zbl 0041.10802

6. I. Lavácek and J. Necas, Mathematical Theory of Elastic and Elasto-Plastic Bodies, Elsevier, Amsterdam, 1980. | Zbl 0448.73009

7. I. Hlavácek, Convergence of an Equilibrium Finite Element Model for Plane Elastostatics, Apl. Mat., Vol. 24, 1979, pp. 427-457. | MR 547046 | Zbl 0441.73101

8. C. Johnson, On Plasticity with Hardening, J. Math. Anal. Appl., Vol. 62, 1978, pp. 325-336. | MR 489198 | Zbl 0373.73049

9. C. Johnson, A Mixed Finite Element Method for Plasticity Problems with Hardening, S.I.A.M. J. Numer. Anal., Vol. 14, 1977, pp. 575-583. | MR 489265 | Zbl 0374.73039

10. C. Johnson, On Finite Element Methods for Plasticity Problems, Numer. Math.,Vol. 26, 1976, pp. 79-84. | MR 436626 | Zbl 0355.73035

11. C. Johnson and B. Mercier, Some Equilibrium Finite Element Methods for Two-Dimensional Elasticity Problems, Numer. Math., Vol. 30, 1978, pp. 103-116. | MR 483904 | Zbl 0427.73072

12. M. Rrîzek, An Equilibrium Finite Element Method in Three-Dimensional Elasticity, Apl. Mat. (to appear). | MR 640139 | Zbl 0488.73072

13. B. Mercier, A personal communication.

14. Nguyen Quoc Son, Matériaux élastoplastiques écrouissable, Arch. Mech. Stos., Vol. 25, 1973, pp. 695-702. | MR 366164 | Zbl 0332.73039

15. V.B. Watwood and B.J. Hartz , An Equilibrium Stress Field Model for Finite Element Solution of Two-Dimensional Elastostatic Problems, Inter. J. Solids Structures, Vol. 4, 1968, pp. 857-873. | Zbl 0164.26201