An inversion method for identification of elastoplastic properties for engineering materials from limited spherical indentation measurements


Hasanov A.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.15, ss.601-627, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/17415970600903899
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.601-627

Özet

In this article, a new method for determination of elastoplastic properties from an indentation loading curve is proposed. Mathematical model, based on deformation theory, leads to quasi- static elastoplastic contact problem, given by the monotonically increasing values alpha(i) > 0 of the indentation depth. The identification problem is formulated as an inverse problem of determining the stress-strain curve sigma(i) = sigma(i)(e(i)) from an experimentally given indentation curve P = P(alpha). The inversion method is based on the parameterization of the stress-strain curve, according to the discrete values of the indentation depth, and uses only a priori information as monotonicity of the unknown function sigma(i) = sigma(i)(e(i)). It is shown that the ill- conditionedness of the identification problems depends on the state discretization parameter Delta e(i). An algorithm of optimal selection of state discretization parameters is proposed as a new regularization scheme. Numerical examples with noise free and noisy data illustrate applicability and high accuracy of the proposed method.