23
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of Generalized Conditional Joints as Subdifferential Constitutive Models

Pages 123-151 | Received 01 Jan 1985, Published online: 03 Apr 2007

REFERENCES

  • W. Prager On the ideal-locking materials , Trans. Soc. Rheol . 1 169–175 ( 1957 ).
  • S. Kaliszky The analysis of structures with conditional joints , J. Struct. Mech . 6 195–210( 1978 ).
  • M. Kurutz State change analysis of structures with generalized conditional joints , Periodica Polytechnica, Civil Eng . 25 169–189 ( 1981 ).
  • M. Kurutz State change analysis of elasto-plastic structures with generalized conditional joints , ZAMM 63 T185–T186 ( 1983 ).
  • D. C. Drucker A more fundamental approach to plastic stress-strain relations, Proc. l-st US Nat. Congr. Appl. Mech. Chicage 1951 . Edward Broth. Inc . 487 – 491 ( 1952 ).
  • W. T, Koiter General theorems for elastic-plastic solids, in Progress in Solid Mechanics Vol. 1 . 5 . 165 – 221 . North-Holland Publ. Co . 1960 .
  • M. Capurso Variational theorems and related methods of solution for the rate problem in elasto-plastic solids with singular yield surface , J. Struct. Mech . ä ( 1 ) á 1 – 24 ( 1974 ).
  • J. Mandel Generalization de la theorie de W. T. Koiter , Int. J. Solids Struct . á 273 ( 1965 ).
  • G. Maier Linear flow-laws of elastoplasticity. A unified general approach , Rnd. Acc. Naz. Lincei 17 1 ( 1969 ).
  • Z. Mróz On forms of constitutive laws for elastic-plastic solids , Arch. Mech. Stos . 18 ä 3 ;– 35 ( 1966 ).
  • P.M. Naghdi J. A. Trapp On the nature normality of plastic strain rate and convexity of yield surfaces in plasticity , J. Appl. Mech. ASME , p 61–66 p( 1975 ).
  • J. Necas Variational inequalities in elasticity and plasticity with application to Signorini's problems and to flow theory of plasticity , ZAMM 60 T2O–T26 ( 1980 ).
  • I. Hlavacek and J. Necas Introduction to the mathematical theory of elastic and elastoplastic bodies , Elsevier , Amsterdam , 1980 .
  • A. Krawietz , Passivität, Konvexität und normalität bei elastisch-plastischem material , Ingenieur-Archiv , 51 p 257–274 p( 1981 ).
  • G. Maier Mathematical programming methods in structural analysis, in Variational Methods in Engineering . Vol. II . 8/á–18/32 , Southampton , U.P . 1972 .
  • G. Maier and J. Munro Mathematical programming applications to engineering plastic analysis , Appl, Mech. Rev . 35 ( 12 ) ( 1982 ).
  • W. Fenchel On conjugate convex functions , Canad. J. Math . I p73–77 p( 1949 ).
  • J. J. Moreau Fonctionelles sous-differentiables , C.R. Acad. Sc. Paris 257A p4117–4119 p( 1963 ).
  • J. J. Moreau La notion de sur-potential et les liaisons unilaterales en elastostatique , C.R. Acad. Sc. Paris 267A p954–957 p( 1968 ).
  • R. T. Rockafellar Convex Analysis , Princeton Mathematical Series , Vol. 28 , Princeton U.P ., 1970 .
  • D. Duvaut and J. L. Lions Inequalities in Mechanics and Physics , Springer-Verlag , Berlin , 1976 .
  • J. J. Moreau On unilateral constraints, friction and plasticity. New Variational techniques in mathematical physics , CIME 173 – 322 , Ed. Cremonese , Roma , 1974 .
  • P. D. Panagiotopoulos Convex analysis and unilateral static problems , Ing. Archiv 45 p 55–68 p( 1976 ).
  • P. D. Panagiotopoulos Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions , Birkhauser Verlag , Basel , 1985 .
  • K. Washizu Variational methods in elasticity and plasticity , Pergamon Press , Oxford , 1968 .
  • E. Hellinger Die Allgemeinen Ansatze der Mechanik der Kontinua , Enzyklopädie der Mathematischen Wissenschaften , 44 ( 1914 ).
  • E. Reissner Note on the method of complementary energy , J. Math. Phys . 27 p159–160 p( 1948 ).
  • COMMUNICATED BY S. KALISZKY

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.