Is there a formula that relates Young's Modulus as a function of temperature? From Wikipedia, there is this formula in section 3.3:
https://en.wikipedia.org/wiki/Young%27s_modulus
I tried my best to understand the formula, but I am still lost when I try to apply it. If any one can explain the formula to me or know off the top of their heads another formula that relates Young's Modulus to temperature, that would be amazing.
Specifically, I am designing a MEMS resonator and I wanted to see how the resonance frequency of my structure will change based on ambient temperature. to my understanding, Young's Modulus and density of polysilicon are the main factors that will contribute to a shifting in resonance frequency. Thus, I am trying to find Young's Modulus for polysilicon of lattice [110]. The standard Young's Modulus for polysilicon[110] is 170 GPa and density of 2330 kg/m^3 at a temperature of 25 deg Celsius I THINK.
Any help would be greatly appreciated.