The stress–strain response of a Fe–17.5Mn–0.7C–2Al TWIP steel during cyclic loading has been investigated by means of tension–compression tests within the strain limits of 72%, 75% and 710%. In addition, the microstructural evolution during the 75% cyclic test has also been studied. The difference between the forward and reverse stress for each pre-strain has been analyzed at 0.2% offset strain...

We derive expressions for the lowest nonlinear elastic constants of amorphous solids in athermal conditions (up to third order), in terms of the interaction potential between the constituent particles. The effect of these constants cannot be disregarded when amorphous solids undergo instabilities such as plastic flow or fracture in the athermal limit; in such situations the elastic response inc...

The crossdie test, i.e. deepdrawing with cross shaped tools, is used in industry to asses the formability of the sheet material. The strain path of the material in this test is non-proportional. The effect of strain path changes can be modelled with the Teodosiu & Hu model. Therefore this model is applied to describe the Bauschinger and cross hardening effects present in the crossdie test to im...

An exactly solvable phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals is developed. The theory accounts for: an arbitrary number and arrangement of dislocation lines over a slip plane; the long-range elastic interactions between dislocation lines; the core structure of the dislocations resulting from a piecewise quadratic Peierls potential; t...

In this paper, the effect of autofrettage process parameters on the ultimate pressure that functionally graded spherical vessel can tolerate are investigated. FGM properties and autofrettage pressure are considered as important parameters. Assumptions are variation of properties of FGM in radial direction, the residual stress in the absence of Bauschinger effect with the operation of variable m...