@article{M2AN_1998__32_5_521_0, author = {Babu\v{s}ka, I. and Shi, P.}, title = {Regularity of solutions to a one dimensional plasticity model}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {521--537}, publisher = {Elsevier}, volume = {32}, number = {5}, year = {1998}, mrnumber = {1643489}, zbl = {0906.73028}, language = {en}, url = {http://www.numdam.org/item/M2AN_1998__32_5_521_0/} }
TY - JOUR AU - Babuška, I. AU - Shi, P. TI - Regularity of solutions to a one dimensional plasticity model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1998 SP - 521 EP - 537 VL - 32 IS - 5 PB - Elsevier UR - http://www.numdam.org/item/M2AN_1998__32_5_521_0/ LA - en ID - M2AN_1998__32_5_521_0 ER -
Babuška, I.; Shi, P. Regularity of solutions to a one dimensional plasticity model. ESAIM: Modélisation mathématique et analyse numérique, Volume 32 (1998) no. 5, pp. 521-537. http://www.numdam.org/item/M2AN_1998__32_5_521_0/
[1] Rehability of computational analysis of plasticity problems, In Non-linear Computational Mechanics, P. Wriggers and W. Wagner Eds, Springer-verlag, 1991.
, and ,[2] A continuous Galerkin method in one dimensional plasticity, in preparation.
and ,[3] Some Ll existence and dependence results for semilinear elliptic equationsunder non linear boundary conditions, Appl. Math. Optim. Vol. 17. 1988, pp. 203-224. | MR | Zbl
, and ,[4] Inequalities in mechanics and physics, Springer-Verlag, Berlin-New York, 1976. | MR | Zbl
and ,[5] Convex analysis and variational problems, North-Holland, 1976. | MR | Zbl
and ,[6] Computational plasticity: the variational basis and numerical analysis, Computational Mechanics Advances, 2, No. 2, 1995. | MR | Zbl
and ,[7] Solutions of variational inequalities in mechanics, Springer-Verlag, 1988. | MR | Zbl
, , and ,[8] Existence theorems for plasticity problems, J. Math. Pure et Appl., 55, pp. 431-444 (1976). | MR | Zbl
,[9] On plasticity with hardening, J. Math. Anal. Appl., 62, pp. 333-344 (1978). | MR | Zbl
,[10] Systems with Hysteresis (in Russian), Nauka, Moscow, 1983 (English edition: Springer 1989). | MR
and ,[11] Hysteresis, Convexity, and Dissipation in Hyperbolic Equations, Springer, 1996. | MR
,[12] A convergence analysis of an H-version finite element method with high order elements for two dimensional elasto-plastic problems, SIAM J. Numer. Anal., to appear. | MR | Zbl
and ,[13] Plasticity Theory, Macmillan Publishing Company, New York, 1990. | Zbl
,[14] Mechanics of Solid Materials, Cambridge University Press, 1985. | Zbl
and ,[15] The Thermodynamics of Plasticity and Fracture, Cambridge University Press, 1992. | MR | Zbl
,[16] Differential Models of Hysteresis, Springer, 1994. | MR | Zbl
,[17] Combined Loading in the Theory of Plasticity, PWN-Polish Scientific Publisher, Warszawa, 1981. | Zbl
,