Temperature dependence of Youngs modulus

In this section, we will discuss the temperature dependence of Young s modulus in metals and ceramics polymer elasticity will be dealt with in chapter 8. 

At typical service temperatures, which are usually smaller than half the melting temperature Tm measured in kelvin (T 0.5 Tm, [T] = K), some rules-of-thumb can be stated for the temperature dependence of Young s modulus. In metals, the temperature dependence of Young s modulus Em is rather large  

m(0K) is Young s modulus at OK. Some experimentally determined values are shown in figure 2.15. The temperature dependence of Young s modulus of ceramics is smaller 51j  

Due to thermal expansion, the mean equilibrium position of the atom is at a position in the potential well where the slope of the force curve and thus the stiffness is smaller Young s modulus is reduced. 

This simple model relates thermal expansion and the reduction of the elastic modulus with increasing temperature. It is confirmed by the fact that metals have a larger temperatme dependence of Young s modulus than ceramics and also a larger coefficient of thermal expansion. 

---

Figure 3. Temperature dependences of Young modulus E and loss tangent tanS of the annealed CPE-1 fibers (t1sp=4.4).

---