Plastic flow characteristics and physically‐based constitutive modelling of commercially pure vanadium

2011 ◽  
Vol 15 (sup1) ◽  
pp. s15-s17
Author(s):  
W‐G Guo ◽  
J Su ◽  
X‐Q Zhang
1962 ◽  
Vol 84 (4) ◽  
pp. 502-508 ◽  
Author(s):  
Y. Bocharov ◽  
S. Kobayashi ◽  
E. G. Thomsen

Coining with a superimposed vibrational load of 800 lb and with a relatively low frequency of 130 cps was investigated. The materials were commercially pure lead and aluminum which were chosen to give an indication of the coinability during hot-working and cold-working, respectively. All blanks had a constant diameter d0 = 1 in. and three initial thicknesses h0 to give ratios h0/d0, of 0.250, 0.125, and 0.0625. The definition or degree of coining and surface finish was examined when coining these materials with three punches which were provided with different grooves of equal width. The shapes of the grooves had the following cross section: square, triangular, and semicircular. It was found that superimposed vibration upon static loading reduces the peak pressure required for the same degree of coining (measure of definition) significantly for dry lead, but to a lesser degree for dry aluminum. The improvements for h0/d0 = 0.0625 were 30 to 35 per cent for lead and 5 to 7 per cent for aluminum. It was also found that unlubricated specimens give a better surface finish and that the tendency to form folds, as is observed at times with lubricated blanks, at the point of coring, apparently is eliminated.


1966 ◽  
Vol 1 (5) ◽  
pp. 439-446 ◽  
Author(s):  
A N Bramley ◽  
P B Mellor

Work-hardening characteristics for sheet steel and aluminium have been obtained experimentally over a range of strain rates from 10−4 to 102/s. Use of the diaphragm test enables work-hardening characteristics to be obtained to much higher plastic strains than is possible in uniaxial tension. Results for killed steel show that the slope of the work-hardening characteristics decreases with increase in strain rate. Tentative extrapolation of the results suggests that if similar tests could be carried out at a strain rate of 104 then the work hardening characteristic would be that of an ideally plastic solid. In the case of aluminium the above phenomenon is not so marked and it is not possible to make even a tentative extrapolation to higher strain rates.


2020 ◽  
Author(s):  
◽  
Foo P. Tan

This work is focused on the development of constitutive models for elastoplastic-fracture behaviour in scenarios characterised by large deformation ranging from laboratory to geolog-ical length scale. Both seepage and geomechanical fields are considered, with the assumption of isothermal field.The standard Drucker-Prager model is enhanced by applying π-plane correction factor, and the use of hardening properties which depends on the evolution of effective plastic strain. Non-associative potential plastic flow function is used to derive the plastic flow vector. To ensure finite energy dissipation during softening, regularisation technique based on fracture energy approach is adopted. The resulting modified Drucker-Prager model is combined with rotating crack model (which relies on Rankine failure criterion) to develop an elastoplastic-fracture framework by considering multi-step stress update procedures. The advantage of multi-step stress update is that the framework allows the use of any elastoplastic model without any major change in the code. Performance of this set of constitutive models is assessed by studying several simulation examples, including bearing capacity of strip footing, crack propagation in a specimen with pre-existing inclined fault, influence of size effect on borehole instability, influence of pore pressure on thrust fault formation, and hydraulic fracture due to fluid injection. Overall, the numerical results show good agreement with available analytical solutions or experimental findings.For basin-scale problem, SR4 model is used due to its capability to capture the evolution of pre-consolidation pressure pc, that is not considered in Drucker-Prager model. In this case, the goal is to simulate basin-scale gravitational deformation in a prograding delta due to fluid overpressure in shale layer with synkinematic sedimentation. With the aid of adaptive remeshing algorithm, the result successfully produces distinct fault patterns across the prograding delta in terms of plastic strain distribution. In particular, three different zones are observed: extensional, transition, and compressional zone. The extensional zone is characterised by basinward-dipping normal faults, whereas the compressional zone is characterised by basinward-verging fore-thrust faults.Overall, the simulation results illustrate the potential that the developed constitutive models under the integrated flow-geomechanical modelling framework could offer to future analysis of more complex geological evolution.


Sign in / Sign up

Export Citation Format

Share Document