modulus was obtained

USAGE SUMMARY

The phrase "modulus was obtained" is correct and usable in written English.
It can be used in mathematical or scientific contexts to indicate that a modulus value has been calculated or derived. Example: "After performing the calculations, the modulus was obtained to be 5."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

32 human-written examples

Ductile UHMWPE with a high modulus was obtained.

Polymer

The complex modulus was obtained using a sinusoidal compressive load.

Construction and Building Materials

Further decrease in modulus was obtained with the addition of more PBS.

Mechanics of Advanced Materials and Modern Processes

Among all blends, at any given time, lower relaxation modulus was obtained with increase in waste engine oil content.

Journal of Cleaner Production

On both oxides, over a large frequency range, a significant increase in the impedance modulus was obtained.

Electrochimica Acta

From each curve a Young modulus was obtained using a mathematical model based on a nonlinear soft tissue model.

Journal of Biomechanics

Human-verified similar examples from authoritative sources

Similar Expressions

28 human-written examples

No significant difference in Young's modulus is obtained.

Solid State Ionics

The lowest value of both the field CBR and resilient modulus were obtained.

International Journal of Geo-Engineering

Curves of electrical modulus were obtained by DRS at frequency ω = 1 Hz.

Nanoscale Research Letters

In this way, hardness and Young's modulus are obtained as a continuous function of penetration depth.

Nanoscale Research Letters

In this case, approximate expressions for the effective elastic modulus are obtained by performing a computational homogenization approach.

Journal of the Mechanics and Physics of Solids

Expert writing Tips

Best practice

When using "modulus was obtained", specify the method or conditions under which the modulus was determined for clarity and reproducibility. For example: "The Young's modulus was obtained via tensile testing at room temperature."

Common error

Avoid using "modulus was obtained" without specifying the type of modulus (e.g., Young's, shear, bulk) or the experimental/computational method used to determine it. Lack of context reduces the clarity and scientific rigor of the statement.

Linguistic Context

The phrase "modulus was obtained" functions as a declarative statement, asserting that a modulus value has been determined or acquired. Ludwig AI supports this analysis with various examples, indicating its acceptance in scientific and technical writing.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "modulus was obtained" is a common and grammatically correct expression, primarily used in scientific and technical writing. According to Ludwig, the phrase is used to report a finding where a modulus value has been determined through calculation, experimentation, or analysis. It's crucial to specify the method used to determine the modulus for clarity and reproducibility. While versatile alternatives like "modulus was calculated" or "modulus was determined" exist, "modulus was obtained" remains a straightforward and accepted way to convey this information.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

modulus was determined

Replaces "obtained" with "determined", emphasizing the calculation or experimental process.

modulus was calculated

Replaces "obtained" with "calculated", specifically focusing on the mathematical aspect.

modulus was measured

Replaces "obtained" with "measured", indicating an experimental or observational approach.

modulus was derived

Replaces "obtained" with "derived", suggesting a more theoretical or inferential process.

modulus was found

Replaces "obtained" with "found", implying discovery through investigation.

modulus was ascertained

Substitutes "obtained" with "ascertained", highlighting the process of confirming the modulus with certainty.

modulus was assessed

Using "assessed" instead of "obtained", indicating the modulus was evaluated.

modulus was evaluated

Replaces "obtained" with "evaluated", pointing towards a comprehensive analysis to find the modulus.

modulus was acquired

Using "acquired" instead of "obtained", implying the modulus was gained through a process.

modulus was estimated

Replaces "obtained" with "estimated", which implies an approximate calculation.

FAQs

How is "modulus was obtained" typically used in scientific writing?

In scientific writing, "modulus was obtained" is typically used to describe how a material property (modulus) was determined through experiments, calculations, or simulations. The type of modulus and the method used should be specified for clarity.

What are some alternatives to saying "modulus was obtained"?

Alternatives include: "modulus was determined", "modulus was calculated", "modulus was measured", or "modulus was derived". The best alternative depends on the specific method used to find the modulus. For instance, "modulus was calculated" implies a mathematical process.

Is it necessary to specify the method when reporting that the "modulus was obtained"?

Yes, it is highly recommended. Specifying the method (e.g., tensile testing, nanoindentation, finite element analysis) adds crucial context and allows others to evaluate the reliability and validity of the result. For example: “The Young's modulus was obtained via nanoindentation”.

What does "modulus was obtained" imply in a materials science context?

In materials science, "modulus was obtained" implies that a material's stiffness or resistance to deformation was quantified. The phrase usually refers to experimental or computational methods used to determine the material's elastic properties.