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Original Articles

Elastoplastic analysis of structures under uncertainty: model and solution methods Footnote1

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Pages 353-365 | Published online: 15 May 2007

References

  • Bazaraa , M. S. and Shetty , C. M. 1979 . Nonlinear Programming-Theory and Algorithms , New York : Wiley .
  • Birge , J. R. 1994 . Quasi-Monte Carlo approaches to option pricing , Department of Industrial and Operations Engineering, University of Michigan . Technical Report 94-19 Revised June 1995
  • Birge , J. R. and Louveaux , F. V. 1997 . Stochastic Programming , New York : Springer-Verlag .
  • Birge , J. R. , Qi , L. and Wei , Z. 1997 . A variant of the Topkis-Veinott method for solving inequality constrained optimization problems , University of New South Wales . Technical Report, AMR 97/29
  • Cohn , M. Z. and Maier , G. , eds. 1979 . Engineering Plasticity by Mathematical Programming , New York : Pergamon Press .
  • Corradi , L. 1978 . On compatible finite element models for elastic plastic analysis . Meccanica , 13 : 133 – 150 .
  • Cottle , R. W. , Pang , J. S. and Stone , R. E. 1992 . The Linear Complementarity Problem , Academic Press .
  • Ferris , M. C and Mangasarian , O. L. 1991 . Parallel constraint distribution . SIAM Journal on Optimization , 1 : 487 – 500 .
  • Fischer , A. 1992 . A special Newton-type optimization method . Optimization , 24 : 269 – 284 .
  • Fletcher , R. 1987 . Practical Methods of Optimization , John Wiley .
  • Jiang , H. and Ralph , D. June 1997 . Global and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares , June , Department of Mathematics, The University of Melbourne .
  • Kiwiel , K. C. 1989 . A dual method for solving certain positive semi-definite quadratic programming problems . SIAM Journal on Scientific and Statistical Computing , 10 June : 175 – 186 .
  • Maier , G. 1970 . A matrix structural theory ofpiecewise linear elastoplasticity with interacting yield planes . Meccanica , 6 June : 54 – 66 .
  • Niederreiter , H. 1992 . Random Number Generation and Quasi-Monte Carlo Methods , Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics .
  • Pang , J. S. 1990 . Newton's methods for B-differentiable equations . Mathematics of Operations Research , 15 : 311 – 341 .
  • Pang , J. S. 1991 . A B-differentiable equation based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity, and variational inequality problems . Mathematical Programming , 51 : 101 – 131 .
  • Pang , J. S. and Qi , L. 1993 . Nonsmooth equations: motivation and algorithms . SIAM Journal on Optimization , 3 : 443 – 465 .
  • Pintér , J. 1989 . Deterministic approximations of probability inequalities . ZOR-Methods and Models of Operations Research, Series Theory , 33 : 219 – 239 .
  • Qi , L. 1993 . Convergence analysis of some algorithms for solving nonsmooth equations . Mathematics of Operations Research , 18 : 227 – 244 .
  • Qi , L. June 1997 . Regular almost smooth NCP and BVIP functions and globally and quadratically convergent generalized Newton methods for complementarity and variational inequality problems , June , University of New South Wales . Technical Report AMR 97/14
  • Sikorski , K. A. and Borkowski , A. 1986, 1990 . “ Ultimate load analysis by stochastic programming ” . In Mathematical Programming Methods in Structural Plasticity, CISM Courses and Lectures , Edited by: Lloyd Smith , D. 403 – 424 . New York : Udine, Springer-Verlag . Chapter 20
  • Spanier , J. and Maize , E. H. 1994 . Quasi-random methods for estimating integrals using relatively small samples . SIAM Review , 36 : 18 – 44 .
  • Szántai , T. 1986 . Evaluation of a special multivariate gamma distribution function . Mathematical Programming Study , 27 : 1 – 16 .
  • Tin-Loi , F. , Qi , L. , Wei , Z. and Womersley , R. S. 1996 . Stochastic ultimate load analysis: models and solution methods . Numerical Functional Analysis and Optimization , 17 ( 9&10 ) : 1029 – 1043 .

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