Here is what I found about the stiffness of Sapphire, albeit on a website for a company that sells things made of sapphire for industrial use:
"Sapphire is one of the hardest materials on earth. Mechanical hardness is typically measured using the Mohs scale: glass generally has a Mohs score between 6 and 7, and hardened steel which comes in at 8 Mohs. Sapphire has a Mohs hardness value of 9, placing it just below diamond which has a hardness of 10 Mohs.
Furthermore, sapphire is very stiff. Its Young’s modulus is 435 GPa, making it 6 times stiffer than quartz, so it can’t be stretched or deformed easily.
These properties make sapphire one of the strongest and most durable materials on the planet."