Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment

摘要

An inverse problem related to the determination of elastoplastic properties of a beam is considered within J_2 deformation theory. A new fast algorithm is proposed for the identification of elastoplastic properties of engineering materials. This algorithm is based on finding the three main parameters of the unknown curve g(ξ~2) (plasticity function), namely, the elasticity limit (ξ_0)~2, the modulus of rigidity G and the strain hardening exponent κ. The advantage of this algorithm is that only two values of measured output data are required for the reconstruction of the unknown function g(ξ~2). Note that all parameterization algorithms use numerous torsional experiments as necessary data for the determination of only some part of the unknown stress-strain curve. Numerical examples related to applicability and high accuracy of the proposed approach are presented for the cases of noise free and noise data.