There is a certain relationship between the thickness of the carbon fiber plate and its hardness, but this relationship is not a simple linear correspondence. The following is a detailed analysis of the relationship between the thickness and hardness of carbon fiber boards:

Board thickness: the thickness of carbon fiber board usually ranges from 0.5mm to 10mm, which is determined according to the application requirements. Different thicknesses have different application scenarios and characteristics in different fields. Thinner carbon fiber boards may be used in applications that require light weight and high rigidity, while thicker carbon fiber boards may be used in applications that require higher strength and impact resistance.

Stiffness: The stiffness of a carbon fiber sheet depends primarily on the hardness of the carbon fibers and how the fibers are laminated to the resin matrix. The hardness of carbon fibers is typically between 200-500 GPa, which makes carbon fiber panels very hard.

However, the degree of stiffness is not determined by thickness alone. For example, even if two carbon fiber boards have different thicknesses, they may have similar hardnesses as long as they have the same fiber arrangement, resin matrix selection, and fiber-to-matrix bonding.

Relationship between thickness and hardness: In general, thicker carbon fiber boards may exhibit higher overall strength and impact resistance due to the fact that there are more layers of carbon fibers stacked on top of each other. However, this does not necessarily mean that thicker carbon fiber boards are necessarily tougher, as the degree of toughness is also affected by other factors. On the other hand, thinner carbon fiber panels, while they may not be as strong overall as thicker panels, they may be more rigid and lighter in weight, making them suitable for applications with stringent weight requirements.

In summary: There is not a simple linear relationship between the thickness of a carbon fiber sheet and its toughness. When selecting a carbon fiber panel, the thickness, hardness, weight, stiffness, and other performance parameters of the panel need to be considered in the context of the specific application.

In general, thicker carbon fiber panels may have higher strength and impact resistance, while thinner panels may have higher stiffness and lighter weight. However, the exact choice needs to be weighed and decided based on the actual application scenario.