In short
The concrete maturity method estimates in-place strength from the temperature history of the concrete, using a strength-maturity relationship calibrated for the specific mix. ASTM C1074 defines two maturity functions: the temperature-time factor (Nurse-Saul) and equivalent age (Arrhenius). It gives an estimate, not a measurement, so it relies on correct calibration and verification before critical operations.
On this page
- What is the concrete maturity method?
- How does the Nurse-Saul temperature-time factor work?
- What is equivalent age (the Arrhenius function)?
- How are the datum temperature and activation energy chosen?
- What changes in hot climates?
- Where is the maturity method used on site?
- What are the limitations of the maturity method?
- How is the maturity method applied in practice?
- How SHM360 applies the maturity method
Concrete gains strength as cement hydrates, and hydration runs faster when the concrete is warm and slower when it is cold. The maturity method uses that relationship to estimate in-place strength from the temperature history of the concrete itself, rather than from specimens stored somewhere else on site. The procedure is standardised in ASTM C1074, Standard Practice for Estimating Concrete Strength by the Maturity Method (current edition C1074-19e1).
This guide explains the principle, the two maturity functions in ASTM C1074, how the datum temperature and activation energy are chosen, what changes in hot climates, and the limitations to understand before relying on maturity-based strength estimates for site decisions.
What is the concrete maturity method?
The maturity method is a way of estimating concrete strength by combining the measured temperature history of the concrete with a strength-maturity relationship established in advance for the same mix. Temperature sensors are cast into the element, a maturity index is calculated continuously, and the index is converted to an estimated strength using the calibration curve.
The underlying assumption is that two samples of the same mix that reach the same maturity index will have approximately the same strength, whatever combination of time and temperature got them there. For example, with a datum temperature of 0 °C, concrete held for 3 days at 30 °C and concrete held for 6 days at 15 °C both reach 90 °C·days, and the Nurse-Saul function treats them as equally mature.
The method has three components:
- A maturity function that converts temperature and time into a single maturity index.
- A strength-maturity relationship developed in the laboratory for the specific mix.
- Temperature measurement in the structure, at the locations that govern the decision being made, such as thin edges, top surfaces or areas exposed to cold or wind.
How does the Nurse-Saul temperature-time factor work?
The Nurse-Saul function expresses maturity as a temperature-time factor: the area under the temperature-time curve above a datum temperature, usually reported in °C·hours or °C·days. It assumes the rate of strength gain is a linear function of temperature.
In ASTM C1074 the temperature-time factor is calculated as:
M(t) = Σ (Tₐ − T₀) · Δt
where M(t) is the temperature-time factor at age t, Tₐ is the average concrete temperature during the time interval Δt, and T₀ is the datum temperature. When the concrete temperature falls below the datum temperature, that interval contributes nothing to maturity.
For example, concrete held at 20 °C for 24 hours with a datum temperature of 0 °C accumulates 480 °C·h. The same concrete held at 10 °C for 24 hours accumulates 240 °C·h, and will have gained noticeably less strength.
The Nurse-Saul function is easy to compute and understand, which is why it is widely used. Its weakness is the linear assumption: across a wide range of curing temperatures, and particularly at high temperatures, it can misrepresent how strongly temperature accelerates hydration.
What is equivalent age (the Arrhenius function)?
Equivalent age expresses maturity as the number of hours or days at a reference temperature that would produce the same maturity as the actual temperature history. It is based on the Arrhenius equation and treats the effect of temperature as exponential rather than linear.
ASTM C1074 gives the equivalent age as:
tₑ = Σ e^(−Q · (1/Tₐ − 1/Tₛ)) · Δt
where tₑ is the equivalent age at the reference temperature, Q is the activation energy divided by the gas constant (in kelvin), Tₐ is the average concrete temperature during the interval in kelvin, and Tₛ is the reference temperature in kelvin. Reference temperatures of 20 °C or 23 °C are commonly used.
The difference between the two functions grows with temperature. Converting both to hours at 20 °C (datum 0 °C for Nurse-Saul, Q = 5,000 K for equivalent age):
| 24 hours of curing at | Nurse-Saul, equivalent hours at 20 °C | Equivalent age, hours at 20 °C |
|---|---|---|
| 10 °C | 12 h | 13 h |
| 20 °C | 24 h | 24 h |
| 30 °C | 36 h | 42 h |
| 40 °C | 48 h | 71 h |
Calculated from the ASTM C1074 default parameters. Real values depend on the mix.
Near the calibration temperature the two functions agree. At 30–40 °C, which is normal for concrete placed in the Gulf, they diverge strongly. That is why equivalent age usually gives a better fit where concrete cures over a wide temperature range, for example in mass concrete or hot-weather pours.
| Aspect | Temperature-time factor (Nurse-Saul) | Equivalent age (Arrhenius) |
|---|---|---|
| Output unit | °C·h or °C·days | Hours or days at a reference temperature |
| Temperature effect | Linear above a datum temperature | Exponential, governed by activation energy |
| Mix-specific parameter | Datum temperature T₀ | Activation energy term Q |
| Strengths | Simple, intuitive, widely used | More realistic across wide temperature ranges |
| Typical use | Moderate curing temperatures, routine slabs and walls | Hot or cold conditions, mass concrete, blended binders |
How are the datum temperature and activation energy chosen?
The datum temperature and activation energy describe how sensitive a particular mix is to temperature. ASTM C1074 allows both to be determined experimentally for the mix, and gives default values for use when they are not.
The experimental procedure in the standard uses mortar cubes cured at several constant temperatures and tested at increasing ages, so that the rate constant for strength development can be found at each temperature. The datum temperature or activation energy is then derived from how that rate constant changes with temperature.
Where testing is not carried out, ASTM C1074 suggests a datum temperature of 0 °C and a Q value of 5,000 K for concrete made with ASTM Type I cement (broadly comparable to CEM I) and no admixtures, cured within about 0 °C to 40 °C. Mixes containing fly ash, slag (GGBS), silica fume, accelerators or retarders can have noticeably different temperature sensitivity, so defaults should be used with care for those binders.
An error in these parameters matters most when field temperatures differ significantly from the laboratory calibration temperature. If the site concrete cures at a similar temperature to the calibration specimens, the choice of function and parameters has less influence on the estimate.
What changes in hot climates?
In the UAE, Saudi Arabia and the wider Gulf, fresh concrete is often placed at 30 °C or more, and element temperatures can rise well above that during hydration. Three points follow.
- The defaults are at their limit. The ASTM C1074 default values assume curing between about 0 °C and 40 °C, a Type I cement and no admixtures. Gulf mixes often use GGBS or fly ash with retarders and cure above 40 °C, so determining Q or T₀ for the actual mix is worth the laboratory time.
- Calibrate near site temperatures. Where possible, cure the calibration specimens at a temperature close to what the element will see, so that parameter errors have less effect.
- Watch the crossover effect. High early-age temperature accelerates early strength but can lower later-age strength (see limitations below). Estimates for decisions taken at later ages deserve extra verification after hot placement.
Hot-weather concreting practice is covered by ACI 305R and, in the region, by the relevant project specification and local codes. See our guides to hot-weather concreting in the UAE and GCC and mass concrete temperature differential.
Where is the maturity method used on site?
The maturity method is used wherever a construction decision depends on the in-place strength reaching a threshold. It is especially useful when that decision is time-sensitive and temperature conditions are variable.
- Formwork and shoring removal in slabs, walls and columns.
- Post-tensioning stressing, where the tendon designer specifies a minimum concrete strength before transfer.
- Opening pavements and slabs to traffic or construction loads.
- Hot- and cold-weather concreting, to confirm protection and curing periods and strength before exposure, in line with guidance such as ACI 305R and ACI 306R.
- Precast production, to schedule de-moulding and handling.
The method does not replace acceptance testing. Conformity of concrete is normally judged on standard-cured specimens made and tested to standards such as ASTM C31/C39 or EN 12390, as required by the project specification and by standards such as ACI 301 or EN 206.
What are the limitations of the maturity method?
The maturity method is only as reliable as its calibration and its assumptions. It estimates strength for the mix that was calibrated, assuming the concrete has enough moisture to keep hydrating.
- Mix-specific. The strength-maturity curve applies only to the calibrated mix. Changes in cement source, supplementary cementitious materials, admixtures or water-cement ratio can invalidate it.
- Batch variations are invisible. A truck delivered with extra water has the same temperature history as a correct one but a lower strength. Temperature data alone cannot detect this.
- Crossover effect. Concrete cured at high temperature at early ages often reaches a lower long-term strength than the same concrete cured cooler. Maturity functions do not capture this, so estimates at later ages may be unconservative after hot early curing.
- Moisture is assumed. If the concrete dries out through poor curing, hydration slows and actual strength falls behind the maturity estimate.
- Sensor location matters. The estimate applies to the point where the sensor is. Edges, corners and top surfaces are usually cooler than the core and should be monitored when they govern.
For these reasons, ASTM C1074 calls for the in-place strength estimate to be supported by other tests before critical operations such as formwork removal or post-tensioning. Examples include in-place tests such as pullout (ASTM C900), penetration resistance (ASTM C803) or cast-in-place cylinders (ASTM C873), or early-age tests of field-cured specimens. The project specification and the responsible engineer decide what verification is needed.
How is the maturity method applied in practice?
In practice, applying the maturity method is a sequence: calibrate the mix, place sensors, monitor, and verify before acting. Most of the effort sits in the calibration and in agreeing the thresholds with the engineer before the pour.
| Step | What happens |
|---|---|
| 1. Choose the maturity function | Nurse-Saul or equivalent age, with datum temperature or activation energy recorded. |
| 2. Calibrate the mix | Build the strength-maturity curve from laboratory specimens of the project mix. |
| 3. Agree thresholds | The engineer or specification sets the strength required for each operation. |
| 4. Place sensors | Install probes at the governing locations before the pour and record their positions. |
| 5. Monitor | Calculate maturity continuously from logged temperatures and convert it to estimated strength. |
| 6. Verify and act | Confirm with the verification tests required by the project, then proceed. |
| 7. Re-check the curve | Validate the curve against site results and recalibrate if the mix or materials change. |
For the sensors that record this temperature history on site, see concrete temperature and strength sensors.
How SHM360 applies the maturity method
SHM360 follows the ASTM C1074 procedure described above. SHM360-Probe digital temperature probes (±0.5 °C accuracy, 0.1 °C resolution) are tied to the reinforcement and connected to an SHM360-Node, an LTE logger with three probe channels plus ambient temperature, which stores readings locally and uploads them when signal is available. Each probe's position is marked on a 3D model of the element, so the estimate is tied to a known location such as an edge, a top surface or the core.

Once the mix is calibrated, the SHM360 web app converts the temperature history into estimated in-place strength, with live charts, threshold alerts, PDF reports and CSV export. The calibration parameters used are shown in every report, so the calculation can be reproduced. Verification before critical operations remains the decision of the project engineer.
Planning a pour where strength timing matters? Send us the mix and the decision you need to make, and we will suggest sensor positions and a calibration plan.
Frequently asked questions
What does the maturity method measure?
It measures concrete temperature over time and converts that history into a maturity index. Strength is then estimated from a strength-maturity curve established beforehand for the same mix, so the method estimates strength rather than measuring it directly.
Which datum temperature should I use for the Nurse-Saul function?
ASTM C1074 allows the datum temperature to be determined experimentally for the mix. Where it is not, the standard suggests 0 °C for concrete made with Type I cement and no admixtures cured between 0 °C and 40 °C; other binders and admixtures can justify a different value.
Is the Nurse-Saul or the Arrhenius function more accurate?
The equivalent age (Arrhenius) function generally represents the effect of temperature on hydration more realistically across a wide temperature range, which matters most in hot climates. The Nurse-Saul function is simpler and works well where curing temperatures stay within a moderate range.
How accurate is the maturity method?
Accuracy depends mainly on the calibration: how well the laboratory curve represents the concrete actually delivered, how well the datum temperature or activation energy suits the mix, and whether the sensor sits at the governing location. This is why ASTM C1074 calls for supporting tests before critical operations.
Do I need a new calibration for every mix?
Yes. The strength-maturity curve is valid only for the mix it was developed for. A change of cement source, supplementary materials, admixtures or water-cement ratio needs a new or re-checked curve.
Can the maturity method replace acceptance cylinders?
No. Acceptance of concrete is normally based on standard-cured specimens tested to standards such as ASTM C39 or EN 12390-3. The maturity method is used for construction decisions such as formwork removal, stressing and opening to load.
Does the maturity method work if the concrete dries out?
Not reliably. The method assumes enough moisture is available for cement hydration, so poorly cured concrete can have a lower strength than the maturity index predicts.
This article is general technical information, not project advice. Your project specification, the applicable standards and the engineer of record govern.



