Part 2 Flashcards
What is cyclic saturation?
The shear stress/ shear strain are no longer altered
well annealed FCC single crystals (suitably oriented for single slip) are put through cyclic strains under fully reversed loading –> rapid hardening
What is the cyclic stress-strain curve?
Experiments with different plastic strains put together
Describe the different areas of the cyclic stress-strain curve BRIEFLY
A: low values of plastic shear strain, work hardening
B:Plateau (shear stress independent of shear strain)
C: Increase in shear stress
Why is there a
plateau?
1) The very formation of the PSBs appears to be closely related to the occurrence of the plateau.
2. )The plateau occurs when there’s an equilibrium between dislocation multiplication and annihilation.
Describe PSBs
PSB) forms through the bulk of the material, reappears at the same sites after polishing. PSBs are softer than the surrounding matrix (easier to deform without increasing the stress). Fatigue cracks are initiated along PSBs.
What is the reason for dislocation multiplication?
Dislocation multiplication is due to bowing out off edge dislocations between the walls.
What is the reason for dislocation annihilation?
Dislocation annihilation is due to climbing of edge dislocations of opposite signs.
What distinguishes cyclic loading? (7)
- higher dislocation density in cyclic loading
- no rotation of slip plane/direction towards tensile axis
- PSBs with wall structure made of edge dislocations
- plateau will occur (resolved shear stress independent of shear strain)
- high density of point defect clusters due to short range interactions among dislocations.
- surface roughness: extrusions and intrusion
- larger influence of strain rate and temperature under cyclic loading
What distinguishes monotonic loading? (3)
- rotation of slip plane/direction towards tensile axis
- surface roughness: staircase
- no PSBs, no plateau
Is strain hardening faster in cyclic or monotonic loading?
monotonic tension occurs much faster than that under cyclic loading (because you load and unload for cyclic)
Name the different dislocation structures that arise from cyclic loading of FCC single crystals
Veins
Walls/ladder
Cell
Labyrinth
In which area are veins present?
A
What are veins?
Networks of dislocation dipoles
What are dislocation dipoles?
When pos. and neg. dislocations attracts,the dislocations will be “trapped”, creating a dislocation dipole.
Only edge dislocations will form these dipoles since screw dislocations easily can cross slip and annihilate (if stacking fault energy is high enough).
Describe what happens first in region A
Dislocation forms on the primary glide plane
Approx. equal nbrs of positive and negative edge dislocations
How are veins separated?
Separated by almost dislocation free channels
What are walls mainly made of?
edge dislocations with its normal in the direction of the primary Burgers vector
How much of the volume in PSB is made of walls of edge dislocation?
10%
How much of the volume in matrix is made of veins of edge dislocation?
50%
Where does the transformation from veins to PSBs start?
center of the veins (dislocation-poor area)
Each vein transforms to two walls.
Where do cells form?
region C
Where do labyrinths form?
B-C
Why are cells/labyrinths formed?
At higher plastic shear strains > 2*10^-3 increase in secondary slip occurs
secondary slips starts in PSB/matrix interface and expands → “fills” the PSB
When does secondary hardening occur?
After 10^6cycles all PSBs have formed into cell structure = beginning of secondary hardening (region C)
Why is the cyclical behavior different for polycrystalline materials when compared
with single crystals?
grains in the middle are put through stresses/strains
Where can the mechanisms for cyclic damage in single crystals be applied in polycrystalline metals? Under what condition?
for the deformation in near surface grains
IF high purity
Have PSBs been found in polycrystalline metals?
Yes (and labyrinths + cells)
Name two general differences distinguishing polycrystalline FCC metals from single crystals oriented for single slip
1) Grains in a polycrystalline metal have many slip orientations
2) The incompatibility of elastic and plastic deformation between grains promotes local loading and multiple slip.
What happens for fine-grained FCC metals?
multiple slip deformation resembling the response of single crystals oriented for multiple slip.
What happens for coarse-grained FCC metals?
resembles that of single-slip oriented monocrystals with low strain hardening or a mild plateau.
Explain the Bauschinger effect
After a certain amount of plastic deformation, in tension or compression, the yield stress is lowered if the loading direction is reversed.
Why is the Bauschinger effect important to keep in mind?
to development models for complex cyclic deformation, understanding of work hardening and for rationalizing fatigue effects such as stress relaxation and cyclic creep
What happens in the material during the Bauschinger effect?
change in dislocation structure due to change in loading direction.
In polycrystalline materials
dislocation walls and subgrain boundaries forms during forward straining, dissolves under reversed loading
What is shakedown?
1.cyclic loads which build up residual stresses for example in ball bearings and railway rails
–> deformation entirely elastic –> no net accumilation of plastic strain = shakedown
Which materials are often subjected to shakedown?
Ductile metals
Elastic shakedown?
development of residual stresses results in a steady state that is purely elastic.
Plastic shakedown?
close cycle of alternating plasticity without accumulation of plastic strains, ratchetting or incremental collapse.
What is shakedown limit?
The limit value for the applied load for shakedown to occur
What happens if the shakedown limit i exceeded?
plastic strain continuous to accumulate in each cycle. This is commonly called ratchetting, cyclic creep or incremental collapse.
Why does surface roughening occur during fatigue?
cyclic straining of the materials with high purity leads to different amount of net slip on different glide planes.
The irreversibility of the shear displacement results in ‘roughening’ of the surface seen as microscopic hills and valleys.
Why do intrusions/extrusions occur?
irreversibility of the shear displacement
Describe protrusions (2 properties)
- Protrusions grow slower than extrusions
- The height of the protrusion increases in proportion to the width.
Why does the volume increase?
Screw dislocations of opposite sign annihilates through cross slip whereas edge dislocations form dipoles.
If close enough they annihilate and form a vacancy or an interstitial.
The vacancy generation is responsible for the swelling of the material which produces protrusions and extrusions in fatigue.
Why does the occurrence of surface roughening initiate cracks?Two mechanisms.
Notches (intrusons)
In the PSB/matrix interface there are abrupt gradients in density and distribution of dislocations. Preferable site for fatigue crack nucleation.
crack nucleation and early growth appear in the PSB (along the ladder structure)