Modelling of work hardening and stress saturation in FCC metals

A dislocation-based model for high temperature cyclic viscoplasticity of 9–12Cr steels

“…Thus, the contribution to the flow stress from the dislocation network using the approach of [19,49], extended to the continuum level using the Taylor factor, is defined as:…”

“…Thus, the evolution equation is defined as [21,22]: (18) where m cl is the climb mobility rate of dislocations. From the Taylor , and equation (11), the density of immobile dislocations at lath walls is: (19) with a subsequent rate evolution given by: …”

“…Fig. 17 shows the effect of initial lath width, δ, on the stress-strain response at 400 °C and 600 °C, respectively, for the 600 th cycle, where the initial dislocation density is defined using equation (19). A significant effect of up to 21 % on cyclic strength (stress range) is predicted at the lower temperature of 400 °C.…”

“…Due to the complex nature of the evolution of the microstructure of 9-12Cr steels [5,6], a multi-scale modelling approach is required. One of the key requirements for A number of material models based on the physical mechanisms of creep have been developed [16][17][18][19] and applied to 9-12Cr steels [20][21][22][23][24][25][26]. Material models, e.g.…”

Quench-induced precipitates in Al–Si alloys: Calorimetric determination of solute content and characterisation of microstructure

“…[4][5][6]). While stress-strain curves of pure aluminium and alloys with very low solute content can already be predicted over a wide range of temperatures and strain rates [7,8], influences of additional microstructural elements such as solutes and second-phase particles need further investigation.…”