What is the relationship between Young's Modulus and temperature?

In summary, the Young's Modulus (YM) of a material is directly related to its temperature, as temperature affects the bonding and arrangement of atoms within the material. The formula for calculating YM at a given temperature is YM(T) = YM(0) * (1 + αT), where YM(0) is the Young's Modulus at room temperature, α is the temperature coefficient of YM, and T is the temperature in degrees Celsius. The temperature coefficient of YM varies for different materials, with some materials exhibiting positive or negative temperature coefficients, while others have a constant YM regardless of temperature. The YM-T relationship can be influenced by factors such as material type, composition, and heating/cooling rates, and it is a crucial
  • #1
Tara66
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0
I know that as temperature increases the extension of a material under a specific load increases too, but what is the direct relationship in terms of numbers? I've searched high and low for an answer but have found none!

Thanks in advance for your help xx
 
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  • #2
Thermoelasticity is an advanced topic- in the realm of nonequilibrium thermodynamics and nonlinear field theories.

http://faculty.rmc.edu/dwoolard/public_html/Thermoelasticity.html [Broken]

http://www.dpa.unina.it/download/zip/cs_st_sp/lucidi%20Termoelast.pdf [Broken]

You may find easily accessible information in the second link, the PDF file.
 
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  • #3


The relationship between Young's Modulus (YM) and temperature is complex and can vary depending on the specific material being studied. Generally, as temperature increases, the YM of a material will decrease. This is due to the increased thermal energy causing the atoms in the material to vibrate more, which can disrupt the lattice structure and decrease the stiffness of the material.

The exact numerical relationship between YM and temperature cannot be determined without specific information about the material in question. However, there are certain trends that can be observed. For most materials, the decrease in YM with increasing temperature follows a linear or logarithmic relationship. This means that as temperature increases, the YM decreases at a constant rate or at a decreasing rate, respectively.

It is important to note that this relationship is not universal and can be affected by other factors such as the composition and microstructure of the material. Additionally, some materials may exhibit non-linear behavior, where the YM decreases rapidly at certain temperature ranges.

In order to determine the specific relationship between YM and temperature for a particular material, experimental data and calculations are necessary. This information can then be used to create a temperature-dependent YM curve, which can be used for predictive purposes in various applications.

I hope this helps to clarify the relationship between YM and temperature. If you have any further questions or would like more information, please do not hesitate to ask. Thank you.
 

1. How does YM relate to temperature?

The Young's Modulus (YM) of a material is a measure of its stiffness or ability to resist deformation. It is directly related to the temperature of the material, as temperature affects the bonding and arrangement of atoms within the material. As temperature increases, the YM of a material generally decreases, meaning it becomes less stiff and more prone to deformation.

2. What is the formula for calculating YM at a given temperature?

The formula for calculating YM at a given temperature is: YM(T) = YM(0) * (1 + αT), where YM(0) is the Young's Modulus at room temperature (usually 20°C), α is the temperature coefficient of YM, and T is the temperature in degrees Celsius.

3. How does YM change with temperature for different materials?

The temperature coefficient of YM varies for different materials, meaning that the relationship between YM and temperature can differ. For some materials, YM increases with temperature (positive temperature coefficient), while for others, it decreases (negative temperature coefficient). Some materials also have a constant YM regardless of temperature (zero temperature coefficient).

4. What factors can affect the YM-T relationship?

The YM-T relationship can be affected by a variety of factors, including the type of material, its composition and microstructure, and the presence of impurities or defects. Additionally, the rate at which temperature changes can also impact the YM-T relationship, as some materials may exhibit different behaviors at different heating or cooling rates.

5. How is YM-T relationship used in engineering and materials science?

The YM-T relationship is an important tool in engineering and materials science for understanding and predicting the behavior of materials under different temperature conditions. It is often used in the design and testing of structures, as well as in the development of new materials and alloys. Understanding the YM-T relationship can also help in the selection of materials for specific applications, as different materials may have different responses to temperature changes.

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