What is the relationship of modulus and temperature?

In summary, the behavior of modulus with increasing temperature varies for different types of materials. For low molecular weight materials, the modulus decreases rapidly with temperature. High molecular weight amorphous materials have a secondary plateau region called the rubbery plateau, where polymer entanglement prevents chain slippage. The modulus then decreases rapidly again in the viscous flow region. Semicrystalline polymers have a similar behavior, but the modulus in the secondary plateau is usually higher due to the restriction of crystalline regions. When the crystalline region melts at Tm, the modulus drops in the viscous flow region. This behavior is also observed in the bulk modulus.
  • #1
pipibaby
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the reasons:
1. For low molecular weight materials, modulus drops rapidly with increasing temperature.

2. For High molecular weight amorphous materials, modulus drops to a secondary plateau region called the rubbery plateau (polymer entanglement prevents chain slippage). With further increase temperature, the modulus drops rapidly again. This point makes the viscous flow region.

3. For Semicrystalline polymers, the behavior is similar to high-molecular weight amorphous polymers, except that the modulus in the secondary plateau is normally higher because of
the restriction of crystalline regions for movement. At Tm, the crystalline region melts and the modulus drops in the viscous-flow region.
 
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  • #2
Do you mean the bulk modulus?
 

1. What is the definition of modulus?

Modulus, also known as Young's modulus or elastic modulus, is a measure of a material's stiffness or resistance to deformation under stress.

2. How does temperature affect modulus?

In general, as temperature increases, the modulus of a material decreases. This is because at higher temperatures, the atoms in the material have more energy and are able to move around more easily, making the material less stiff and more prone to deformation.

3. What is the relationship between modulus and temperature?

The relationship between modulus and temperature is an inverse one. As temperature increases, modulus decreases and vice versa.

4. Can the relationship between modulus and temperature be described by a mathematical equation?

Yes, the relationship between modulus and temperature can be described by the equation: E = E0 (1 - αΔT), where E is the modulus at a given temperature, E0 is the initial modulus at a reference temperature, α is the coefficient of thermal expansion, and ΔT is the change in temperature.

5. How does the relationship between modulus and temperature differ among different materials?

The relationship between modulus and temperature can vary greatly among different materials. Some materials, such as metals, have a relatively small change in modulus with temperature, while others, such as polymers, may experience significant changes in modulus with temperature.

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