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Thermodynamical and self-consistent approach to inelastic ferromagnetic polycrystals

Mićunović M.

Archives of Mechanics

2006

Vol. 58, nr 4-5

393-430

Geometric and kinematic aspects of intragranular as well as intergranular plastic deformation of ferromagnetic polycrystals are discussed. Elastic strain is covered by the effective field homogenization method inside a representative volume element (RVE). By applying this method, an effective magnetostriction 4-tensor is determined. The evolution equation formed by tensor representation having incremental form is postulated to model inelastic metals. The rate-dependence takes place by means of stress rate-dependent value of the initial yield stress. Concept of the M. Zorawski deformation geometry is extended on the basis of constrained micro- and free macrorotations in intermediate reference configuration. This has as a consequence that the evolution equation for plastic spin of RVE is an outcome of the evolution equation for plastic stretching. The macroscopic evolution equation is based on Vakulenko's concept of thermodynamic time. A tensor representation for magnetomechanical interaction is proposed and susceptibility coefficients for iron are calibrated.

Plastic wave propagation in Hopkinson bar - revisited

Mićunović M., Baltov A.

Archives of Mechanics

2002

Vol. 54, nr 5-6

577-602

The subject of this paper is an analysis of the experimental Hopkinson bar technique when such a device consists of a short tensile or shearing specimen surrounded by two very long elastic bars [1]. Unlike the commonly applied by-pass analysis which attempts to draw conclusions from the behaviour of elastic bars, we attempt to take into account real plastic waves inside the specimen with several hundreds of reflections. A quasi rate-independent as well as a more general, rate-dependent tensor function model for AISI 316H calibrated in [19] are applied. Some special slightly perturbed elastic incident and reflected waves in elastic bars served to simulate the starting solutions. The numerical results have shown a good agreement with experimentally observed homogeneous strain state throughout the specimen during the process. Lindholm's procedure for finding specimen stress and strain by such a by-pass procedure is criticized.