Regularity results for three-dimensional isotropic and kinematic hardening including boundary differentiability

Mathematical Models and Methods in Applied Sciences

Volumn 19, Issue 12, 2009, Pages 2231-2262

  Frehse, Jens ^a   LÖbach, Dominique ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Boundary differentiability; Plasticity with hardening; Regularity of solutions

Indexed keywords

BOUNDARY DIFFERENTIABILITY; DIFFERENTIABILITY; DIRICHLET BOUNDARY; ELASTIC STRAIN TENSOR; ELASTIC-PLASTIC; FLOW PROBLEMS; INTERNAL PARAMETERS; ISOTROPIC HARDENINGS; KINEMATIC HARDENING; NORMAL DERIVATIVES; REGULARITY OF SOLUTIONS; VON MISES; YIELD FUNCTION;

KINEMATICS; PLASTICITY; TENSORS; THREE DIMENSIONAL;

HARDENING;

EID: 75649124212     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202509004108     Document Type: Article

References (16)

1. R. A. Adams, Sobolev Spaces, Pure and Applied Mathematics, Vol.65 (Academic Press, 1975).
2. H.-D. Alber, Materials with Memory, Lecture Notes in Mathematics, Vol.1682 (Springer- Verlag, 1998).
3. 1/3-δ-regularity up to the boundary in time-dependent viscoplasticity. Technical Report No. 2537, Universität Darmstadt, Asympt. Anal. 63 (2009) 151-187.
4. A. Bensoussan and J. Frehse, Regularity Results for Nonlinear Elliptic Systems and Applications, Applied Mathematical Sciences, Vol.151 (Springer-Verlag, 2002).
5. J. Frehse and D. Lobach, Holder continuity for the displacements in isotropic and kinematic hardening with von Mises yield criterion, ZAMM 88 (2008) 617-629.
6. W. Han and B. D. Reddy, Plasticity Mathematical Theory and Numerical Analysis, Interdisciplinary Applied Mathematics, Vol.9 (Springer-Verlag, 1999).
7. I. R. Ionescu and M. Sofonea, Functional and Numerical Methods in Viscoplasticity (Oxford Univ. Press, 1993).
8. C. Johnson, On plasticity with hardening, J. Math. Anal. Appl. 62 (1978) 325-336.
9. D. Knees, Short note on global spatial regularity in elastoplasticity with linear hardening, WIAS preprint No. 1337, Weierstraß-Institut, Berlin, 2008.
10. A. Kufner, O. John and S. Fučik, Function Spaces. From the Czech. (Noordhoff International Publishing and Publishing House of the Czechoslovak Academy of Sciences, 1977).
11. D. Löbach, On regularity for plasticity with hardening, Bonner Math. Schriften 388 (2008) 1-31.
12. J. Lubliner, Plasticity Theory (Macmillan, 1990).
13. J. Nečas and I. Hlaváček, Mathematical Theory of Elastic and Elastico-Plastic Bodies, Studies in Applied Mechanics, Vol.3 (Elsevier, 1991).
14. G. A. Seregin, Diff erential properties of solutions of evolution variational inequalities in the theory of plasticity, J. Math. Sci. 72 (1994) 3449-3458.
15. Translated from Problemy Matematicheskogo Analiza, No.12, 1992, pp. 153-173.
16. J. C. Simo and T. J. R. Hughes, Computational Inelasticity, Interdisciplinary Applied Mathematics, Vol.7 (Springer-Verlag, 1998).