Question 7 of 7: Jominy Hardenability Test; Interpreting Four Heat Treatments on the TTT Diagram; Cryogenic Treatment
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
National Exam 04-BS-11, Properties of Materials — May 2019 sitting (the cover page and every page footer read “04-BS-11, May2019”). 3 hours, closed-book examination (Casio/Sharp calculator only). Notes on the paper state that candidates are to
attempt five, and only five, questions, with only the first five appearing in the answer book marked and
all questions of equal value. All seven questions are solved below for completeness.
Reference texts: Callister & Rethwisch, Materials Science and Engineering:
An Introduction, 9th ed. (crystal structure and Miller indices; tensile testing and true strain;
hardness testing; solid solutions and grain size; phase diagrams and the lever rule; dislocations and
cold work; polymer molecular weight and viscoelastic behaviour; TTT diagrams and heat treatment;
fracture/fatigue).
Page-1 data used below: atomic masses (g/mol) H 1.01, C 12.01,
Mo 95.94; $N_A=0.602\times10^{24}$ mol$^{-1}$; cold work $CW=(A_0-A_f)/A_0$; grain size
$N=2^{n-1}$. Fig 1 (Al–Si diagram), Fig 2 (cold work vs. properties, iron and copper) and
Fig 3 (isothermal diagram, 0.8% C steel) are printed in the paper; the values used below were read off them.
Question 7: Jominy Hardenability Test; Interpreting Four Heat Treatments on the TTT Diagram; Cryogenic Treatment (supplementary)
Note on numbering. The printed paper numbers the four cases (i), (ii), (ii), (iii),
repeating “(ii)”. They are answered below in printed order as cases (i)–(iv).
Given. Fig 3, 0.8% C eutectoid steel, austenitised at $800^{\circ}$C (above
$A_1=727^{\circ}$C, so fully austenitic). Read off the printed diagram (digitised): nose of the C-curves
at $\approx550^{\circ}$C, where transformation starts at $\approx0.75$ s and finishes at
$\approx4$ s. At $650^{\circ}$C: start $\approx1.5$ s, finish $\approx15$ s. At
$350^{\circ}$C: start $\approx24$ s, finish $\approx290$ s. At $300^{\circ}$C: start
$\approx85$ s, finish $\approx800$ s. $M_s$ line $\approx260^{\circ}$C (where the start curve
ends). $M_f\approx-50^{\circ}$C, i.e. below room temperature.
Find. (a) The Jominy test and what it tells you. (b) Microstructure and properties for
each of the four cases. (c) Why a liquid-nitrogen quench plus a 100°C anneal improves properties.
Approach
For each isothermal hold, compare the hold time with the start and finish curves at that temperature.
Past the finish curve means transformation is complete and the final quench changes nothing. Before the
start curve means the steel is still austenite, and the quench turns it to martensite. Between the two
means a mixture. Because $M_f$ lies below room temperature, any quench to room temperature leaves some
retained austenite in the martensite.
(a) The Jominy end-quench hardenability test. A standard round bar
($25.4$ mm/1 in diameter, $100$ mm/4 in long) is austenitised, then held vertically
and quenched from one end only by a controlled water jet. This gives a continuous, reproducible
range of cooling rates along the bar: fastest at the quenched end, slower with distance from it
(controlled by axial heat conduction). A flat is then ground along the bar and Rockwell C hardness is
measured at fixed intervals from the quenched end, giving a hardenability curve (HRC
against distance). Useful information: it measures hardenability, meaning how deep and at
how slow a cooling rate martensite still forms, as a property of the steel, independent of part geometry
or quench medium. Steels can be compared and specified by it (H-band steels). Using published charts that
relate Jominy distance to the cooling rate at the surface, mid-radius and centre of round bars quenched in
water or oil, it also predicts the as-quenched hardness profile of a real part.
(b)(i) 350°C, held 750 s, then quenched. At $350^{\circ}$C the transformation
starts at $\approx24$ s and is finished by $\approx290$ s, so the 750 s hold goes well past
the finish curve and the austenite transforms completely at $350^{\circ}$C. The final
quench has no austenite left to act on. Microstructure: $100\%$ bainite (fine
acicular ferrite + cementite, formed near the upper/lower-bainite boundary). Properties: high
strength and hardness (roughly mid-40s HRC) with good toughness and ductility. It is harder than any
pearlite and much tougher than untempered martensite, with no tempering needed (this is austempering).
(b)(ii) 650°C, held 500 s, then quenched. At $650^{\circ}$C the
transformation starts at $\approx1.5$ s and finishes at $\approx15$ s, so it is
complete long before 500 s and the final quench changes nothing.
Microstructure: $100\%$ pearlite, fairly coarse because it formed with only
$77^{\circ}$C of undercooling below $A_1$, where diffusion is fast and the lamellae are widely spaced.
Properties: the softest and most ductile of the four cases (roughly 15–20 HRC), with
modest strength.
(b)(iii) 300°C, held 10 s, then quenched to room temperature. At
$300^{\circ}$C the start curve is not reached until $\approx85$ s, so after 10 s no
transformation has begun. The steel is still austenite (it was quenched past the nose too quickly
for pearlite to form). On quenching through $M_s\approx260^{\circ}$C to room temperature it transforms
athermally to martensite. Because $M_f\approx-50^{\circ}$C is below room temperature,
some retained austenite is left as well. Properties: the hardest and strongest
condition (about 60+ HRC for 0.8% C), but brittle, with very low ductility and toughness and high
residual stresses. Unusable without tempering. (This hold is effectively a marquench: the part
equalises in temperature above $M_s$ before martensite forms, which reduces distortion and cracking.)
(b)(iv) As (iii), then reheated to 400°C for 3600 s and cooled slowly. The
first stage gives the martensite + retained austenite of case (iii). The reheat is a
tempering treatment, not a path on the isothermal diagram (that diagram applies only to
austenite cooled from above $A_1$). During 1 h at $400^{\circ}$C the martensite decomposes into
tempered martensite: fine cementite particles in a ferrite matrix. The quenching stresses
are relieved, and the retained austenite also decomposes (to bainite/ferrite + carbide). Slow cooling
afterwards causes no further change. Properties: hardness drops from the as-quenched level to
roughly 45–50 HRC, while toughness and ductility improve greatly. This is the classic
quench-and-temper combination of high strength with usable toughness, and far more serviceable than
case (iii).
(c) Liquid-nitrogen quench plus 100°C anneal. On Fig 3, $M_f$
($\approx-50^{\circ}$C) is below room temperature, so the martensite reaction stops before it is
complete when the part reaches room temperature. The untransformed part remains as retained
austenite, which is soft and metastable. It lowers hardness and wear resistance, and it can
transform later in service (under stress or with time), causing dimensional instability
and fresh brittle martensite exactly where it is not wanted. Quenching further in liquid nitrogen
($-196^{\circ}$C, well below $M_f$) drives the martensite reaction to completion and converts most of the
retained austenite. The new martensite is highly stressed and brittle. The following low-temperature
anneal at $100^{\circ}$C is a mild stress-relief/temper: it relaxes the transformation stresses and
starts fine transition-carbide precipitation, without the softening a normal temper would cause. Net
result: higher and more uniform hardness, better wear resistance and dimensional stability, and less
brittleness. (This is standard practice for gauges, bearings and tool steels.)
[Figure not reproduced: Fig. Q7 — the printed Fig 3 isothermal diagram, redrawn from its digitised start (solid) and finish (dashed) curves, with heat-treatment paths (i)–(iii). Path (iv) is case (iii) followed by a tempering reheat and is not an isothermal-transformation path. See the official exam paper.]
Case
Microstructure
Properties
(i) 350°C, 750 s
100% bainite (complete: finish ≈ 290 s)
strong, hard, tough
(ii) 650°C, 500 s
100% coarse pearlite (complete: finish ≈ 15 s)
softest, most ductile
(iii) 300°C, 10 s
martensite + retained austenite (start ≈ 85 s not reached)
hardest, brittle
(iv) (iii) + 400°C, 3600 s
tempered martensite
high strength with good toughness
(c) LN₂ + 100°C
retained austenite → martensite, then stress-relieved