# How Does Temperature Affect the Elasticity of Materials?

• ssj5harsh
In summary, when the temperature of a substance increases, the strain also increases. This results in a decrease in the substance's modulus of elasticity. This means that substances with a higher modulus of elasticity will become less elastic at higher temperatures. There may be some useful information on the topic of temperature's effect on elasticity in creep testing results at elevated temperatures.
ssj5harsh
I would like to know the effect of temperature on the elasticity of substances. I have searched on the internet and have not found anything.
My current line of thinking goes thus:
Modulus= Stress/strain

Strain = increase in length / original length

For higher temperature, increase in length would be more, hence strain would be more. Consequently, modulus of elasticity would decrease(Since stress is kept constant). Substances with higher modulus of elasticity are more elastic. Hence increase in temperature should decrease elasticity.

Any help or links on the topic would be greatly appreciated.

In general you are correct. That is why for most materials you will find lower allowable stresses at elevated temperatures (for example pipes and flanges).

You may want to look for creep testing results at elevated temperatures. It may be of some use for you.

You are correct in your thinking that temperature can affect the elasticity of substances. In general, as temperature increases, the elasticity of a substance decreases. This is because at higher temperatures, the molecules of the substance have more energy and are able to move more freely, causing a decrease in the strength of the bonds between them. This decrease in bond strength leads to a decrease in the substance's ability to resist deformation, resulting in a decrease in elasticity.

There are several factors that can influence the exact effect of temperature on elasticity, such as the type of substance, its composition, and the specific temperature range being considered. However, in general, the relationship between temperature and elasticity can be described as an inverse one.

Here are a few resources that may be helpful in further understanding the relationship between temperature and elasticity:

- This article from the American Institute of Physics discusses the effects of temperature on the elasticity of materials in more depth: https://www.aip.org/sites/default/files/history/files/elastic.pdf
- This video from Khan Academy explains the concept of elasticity and how it is affected by temperature: https://www.khanacademy.org/science/physics/work-and-energy/hooke-s-law/v/temperature-and-elasticity
- This research paper explores the effects of temperature on the elasticity of various materials: https://www.sciencedirect.com/science/article/abs/pii/S1359645414000485

I hope these resources help to answer your question and provide a better understanding of the relationship between temperature and elasticity.

## 1. What is the relationship between temperature and elasticity?

The relationship between temperature and elasticity is an inverse one. As temperature increases, the elasticity of a material decreases. This means that a material becomes more flexible and less stiff as it is heated.

## 2. How does temperature affect the elasticity of different materials?

Different materials have different responses to changes in temperature. Some materials, such as metals, have a decrease in elasticity as temperature increases. However, other materials, such as rubber, have an increase in elasticity as temperature increases.

## 3. What is the temperature coefficient of elasticity?

The temperature coefficient of elasticity is a measure of how much the elasticity of a material changes with temperature. It is often represented by the symbol α and is expressed in units of inverse temperature (1/K).

## 4. How does temperature affect the Young's modulus of a material?

Young's modulus is a measure of a material's stiffness, and it is directly affected by temperature. As temperature increases, the Young's modulus of a material decreases, meaning it becomes less stiff and more flexible.

## 5. Can temperature changes cause permanent deformation in materials?

Yes, temperature changes can cause permanent deformation in materials. This is because as the temperature increases, the atoms in a material vibrate more, causing them to move out of their regular positions and potentially causing the material to permanently deform.

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