Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

On the existence of the rates of stress and displacement for Prandtl-Reuss plasticity


Author: Gabriele Anzellotti
Journal: Quart. Appl. Math. 41 (1983), 181-208
MSC: Primary 73E50
DOI: https://doi.org/10.1090/qam/719504
MathSciNet review: 719504
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] G. Anzellotti and M. Giaquinta, Existence of the displacements field for an elasto-plastic body subject to Hencky's law and Von Mises yield condition, Manuscripta Math. 32, 101-136 (1980) MR 592713
  • [2] G. Anzellotti and M. Giaquinta, On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium, 61 (1982): Journal de Mathematiques pures et appliquées MR 690394
  • [3] M. E. Bogovski, Solution to the first boundary value problem for the equation of continuity of an incompressible medium, Soviet Math. Dokl. 20, 1094-1098 (1979) MR 553920
  • [4] G. Duvaut and J. L. Lions, Les inequations en mécanique et en physique, Dunod, Paris (1972) MR 0464857
  • [5] R. Kohn, Ph.D. Thesis, Princeton University (1979)
  • [6] R. Kohn and R. Temam, to appear
  • [7] W. T. Koiter, General theorems for elasto-plastic solids, in Progress in solid mechanics, 1, edited by J. N. Sneddon and R. Hill, North Holland, Amsterdam (1960) MR 0112405
  • [8] H. Matthies, G. Strang and E. Christiansen, The saddle point of a differential program, in Energy methods in finite element analysis, edited by Glowinski, Rodin and Zienkiewicz, John Wiley and Sons (1979) MR 536995
  • [9] G. Strang and R. Temam, Functions of bounded deformation, Arch. Rat. Mech. Anal. 75, 7-21 (1980) MR 592100
  • [10] P. M. Suquet. evolution problems for a class of dissipative materials, Q. Appl. Math. 38, 391-414 (1981) MR 614549
  • [11] R. Temam, An existence theorem for a variational problem of plasticity, Proceedings of the Journées P. de Fermat; Atteia, Bancel, editors, Pitman (1980) MR 616857

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73E50

Retrieve articles in all journals with MSC: 73E50


Additional Information

DOI: https://doi.org/10.1090/qam/719504
Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society