LI Jian-yu, PAN Shao-hua, LI Xing-si. Nonsmooth Model for Plastic Limit Analysis and Its Smoothing Algorithm[J]. Applied Mathematics and Mechanics, 2006, 27(8): 940-946.
Citation: LI Jian-yu, PAN Shao-hua, LI Xing-si. Nonsmooth Model for Plastic Limit Analysis and Its Smoothing Algorithm[J]. Applied Mathematics and Mechanics, 2006, 27(8): 940-946.

Nonsmooth Model for Plastic Limit Analysis and Its Smoothing Algorithm

  • Received Date: 2005-02-16
  • Rev Recd Date: 2006-03-18
  • Publish Date: 2006-08-15
  • By means of Lagrange duality theory of the convex program,a dual problem of Hill's maximum plastic work principle under Mises.yielding condition was derived and whereby a non-differentiable convex optimization model for the limit analysis were developed.With this model,it is not necessary to linearize the yielding condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subjected to linear constraints.Aimed at resolving the non-differentiability of Euclidean norms,a smoothing algorithm for the limit analysis of perfect-plastic continuum media was prposed.Its efficiency was demonstrated by computing the limit load factor and the collapse state for some plane stress and plain strain problems.
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