AN INVERSE PROBLEM RELATED TO THE DETERMINATION OF ELASTOPLASTIC PROPERTIES OF A CYLINDRICAL BAR


MAMEDOV A.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.30, ss.23-32, 1995 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 1
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1016/0020-7462(94)00029-a
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Sayfa Sayıları: ss.23-32

Özet

The problem of determining the elastoplastic properties of a cylindrical bar from the experimentally given relation between torsional moments M and torsion angles a is investigated. This problem leads to the inverse coefficient problem for the non-linear differential equation of the second order. The coefficient dependence of the following non-linear direct problem solution is studied. Reformulating the inverse problem as a minimization problem for a certain functional, the existence theorem for the considered inverse problem is presented. A numerical algorithm and examples related to direct and inverse problems are considered.