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Hollomon–Jaffe parameter

Hollomon–Jaffe parameter is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hollomon–Jaffe parameter rather than just read about it. In short: The Hollomon–Jaffe parameter (HP), also generally known as the Larson–Miller parameter, describes the effect of a heat treatment at a temperature for a certain time. This parameter is especially used to describe the tempering of steels, so that it is also called tempering parameter.

Key takeaways

  • Hollomon–Jaffe parameter belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hollomon–Jaffe parameter to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hollomon–Jaffe parameter from memory before moving on to harder problems.

Reference excerpt

The Hollomon–Jaffe parameter (HP), also generally known as the Larson–Miller parameter, describes the effect of a heat treatment at a temperature for a certain time. This parameter is especially used to describe the tempering of steels, so that it is also called tempering parameter.

Effect The effect of the heat treatment depends on its temperature and its time. The same effect can be achieved with a low temperature and a long holding time, or with a higher temperature and a short holding time.

Formula In the Hollomon–Jaffe parameter, this exchangeability of time and temperature can be described by the following formula:

H p = ( 273.15 + T ) 1000 ⋅ ( C + log ⁡ ( t ) ) {\displaystyle H_{p}={\frac {(273.15+T)}{1000}}\cdot (C+\log(t))}

This formula is not consistent concerning the units; the parameters must be entered in a certain manner. T is in degrees Celsius. The argument of the logarithmic function has the unit hours. C is a parameter unique to the material used. The Hollomon parameter itself is unitless and realistic numeric values vary between 15 and 21.

H p = T ( C + log ⁡ ( t ) ) {\displaystyle H_{p}=T(C+\log(t))\,}

where T is in kilokelvins, t is in hours, and C is the same as above. Holloman and Jaffe determined the value of C experimentally by plotting hardness versus tempering time for a series of tempering temperatures of interest and interpolating the data to obtain the time necessary to yield a number of different hardness values. This work was based on six different heats of plain carbon steels with carbon contents varying from 0.35%–1.15%. The value of C was found to vary somewhat for different steels and decrease linearly with the carbon content of a steel grade. Holloman and Jaffe proposed that C = 19.5 for carbon and alloy steels with carbon contents of 0.25%–0.4%; and C = 15 for tool steels with carbon contents of 0.9%–1.2%.

See also Zener–Hollomon parameter

References

Worked examples

Example 1 — a first encounter with Hollomon–Jaffe parameter

Start with the simplest possible case. Write down what Hollomon–Jaffe parameter claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hollomon–Jaffe parameter before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hollomon–Jaffe parameter ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hollomon–Jaffe parameter

In research
Hollomon–Jaffe parameter appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hollomon–Jaffe parameter in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hollomon–Jaffe parameter is common in secondary-school and first-year university syllabi. It links to neighbouring topics Metal heat treatments, so understanding it makes those chapters shorter.
In everyday life
Look for Hollomon–Jaffe parameter outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Hollomon–Jaffe parameter in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hollomon–Jaffe parameter means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hollomon–Jaffe parameter out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hollomon–Jaffe parameter in simple terms?

The Hollomon–Jaffe parameter (HP), also generally known as the Larson–Miller parameter, describes the effect of a heat treatment at a temperature for a certain time. This parameter is especially used to describe the tempering of steels, so that it is also called tempering parameter.

Why does Hollomon–Jaffe parameter matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hollomon–Jaffe parameter?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hollomon–Jaffe parameter.

Tags

  • Metal heat treatments

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