Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-23T04:20:22.507Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary value problems in plasticity theory*

Published online by Cambridge University Press:  17 April 2009

Ian F. Collins
Ian F. Collins
Affiliation:
Department of Theoretical and Applied Mechanics, University of Auckland, Auckland, New Zealand.
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Australian Mathematical Society Applied Mathematics Conference
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1982 , pp. 121 - 141
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Collins, I.F., “The algebraic-geometry of slip line fields with applications to boundary value problems”, Proc. Roy. Soc. London Ser. A 303 (1968), 317–338.Google Scholar
[2]Collins, I.F., “On an analogy between plane strain and plate bending solutions in rigid/perfect plasticity theory”, Intern. J. Solids and Structures 7 (1971), 1057–1073.Google Scholar
[3]Collins, I.F., “On the theory of rigid/perfectly plastic plates under uniformly distributed loads”, Acta Mech. 18 (1973), 223–254.CrossRefGoogle Scholar
[4]Collins, I.F., “boundary value problems in plane strain plasticity”, Mechanics of solids – The Rodney Hill 60th Anniversary Volume, 135–184 (Pergamon, London, New York, 1981).Google Scholar
[5]Dewhurst, P. and Collins, I.F., “A matrix technique for constructing slip-line field solutions to a class of plane strain plasticity problems”, Intern. J. Numer. Methods Engrg. 7 (1973), 357–378.CrossRefGoogle Scholar
[6]Ewing, D.J.F., “A series-method for constructing plastic slipline fields”, J. Mech. Phys. Solids 15 (1967), 105–114.CrossRefGoogle Scholar
[7]Fox, E.N., “Limit analysis for plates: a simple loading problem involving a complex exact solution”, Philos. Trans. Roy. Soc. London Ser. A 272 (1972), 463–492.Google Scholar
[8]Fox, E.N., “Limit analysis for plates: the exact solution for a clamped square plate of isotropic homogeneous material obeying the square yield criterion and loaded by uniform pressure”, Philos. Trans. Roy. Soc. London Ser. A 277 (1974–1975), 121–155.Google Scholar
[9]Garabedian, P.R., Partial differential equations (John Wiley & Sons, New York, London, 1964).Google Scholar
[10]Hill, R., The mathematical theory of plasticity (Clarendon, Oxford, 1950).Google Scholar
[11]Johnson, W., “Guest editorial”, J. Mech. Work. Techn. 5 (1981), 1–13.CrossRefGoogle Scholar
[12]Johnson, W., Sowerby, R. and Haddow, J.B., Plane-strain slipline fields: Theory and bibliography (Edward Arnold, London, 1970. Second edition, to appear).Google Scholar
[13]Massonet, Ch., “Complete solutions describing the limit state of reinforced concrete slabs”, Mag. Conor. Res. 19 (1967), 13–32.CrossRefGoogle Scholar
[14]Nye, J.F., “The flow of glaciers and ice-sheets as a problem in plasticity”, Proc. Roy. Soc. London Ser. A 207 (1951), 554–572.Google Scholar
[15]Paterson, W.S.B., The physics of glaciers, 2nd edition (Pergamon Press, Oxford, 1981).Google Scholar
[16]Schumann, Walter, “On limit analysis of plates”, Quart. Appl. Math. 16 (1958), 61–71.Google Scholar
[17]Wood, R.H., “A partial failure of limit analysis for slabs, and the consequences for future research”, Mag. Concr. Res. 21 (1969), 79–90.CrossRefGoogle Scholar