Explicit Methods for the Computation of Structural Reliabilities in Stochastic Plastic Analysis


Kaymaz I., MARTI K.

Workshop on Coping with Uncertainty, Laxenburg, Avusturya, 13 - 16 Aralık 2004, cilt.581, ss.85-103, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 581
  • Doi Numarası: 10.1007/3-540-35262-7_5
  • Basıldığı Şehir: Laxenburg
  • Basıldığı Ülke: Avusturya
  • Sayfa Sayıları: ss.85-103
  • Atatürk Üniversitesi Adresli: Evet

Özet

Problems from plastic limit load or shakedown analysis and optimal plastic design are based on the convex yield criterion and the linear equilibrium equation for the generic stress (state) vector sigma. The state or performance function s*(y, x) is defined by the minimum value function of a convex or linear program based on the basic safety conditions of plasticity theory: A safe (stress) state exists then if and only if s* < 0, and a safe stress state cannot be guaranteed if and only if s* >= 0. Hence, the probability of survival can be represented by p(s) = P(s*(y(omega), x) < 0).