The Concept of Hysteresis in Materials: A Study on Bouncy Balls and Tires
Hysteresis, a phenomenon where a material's behavior is dependent on its previous state, can be observed in various forms of materials. In this study, we will explore hysteresis in two common materials: bouncy balls and tires.
The Bouncy Ball Analogy
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When we drop both bouncy balls and kick balls from the same height, we notice that the bouncy ball's bounce is significantly higher than the kick ball's. This means that the bouncy ball releases more energy after being compressed while hitting the ground than the kick ball. The reason for this lies in the concept of hysteresis. Hysteresis refers to the amount of energy lost by a material as it returns to its original state. In the case of the bouncy ball, it is able to release more energy due to its low hysteresis. On the other hand, the kick ball has a higher hysteresis, resulting in less energy being released.
A similar concept can be applied to tires. If you drop an old tire with a worn-out compound and compare it to a new tire with a fresh compound, you'll notice that the bouncy behavior of the new tire is significantly different from the old one. The new tire is able to deform without losing too much energy, whereas the old tire loses a lot of energy and mainly transforms into heat.
Tire Compounds: A Case Study
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The difference in hysteresis between old and new tires can be attributed to the type of compound used. A new tire typically has a high-quality compound that is designed to maintain its shape without losing too much energy, while an old tire with a worn-out compound loses more energy and transforms into heat.
For example, if you apply a very slow deformation to the new tire, it will deform whereas when you try to deform it at a higher speed, it will bounce back. This is due to the low hysteresis of the new compound. On the other hand, if you apply a high-speed deformation to the old tire, it will break and lose its shape.
The Importance of Frequency in Tire Behavior
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The frequency of deformation plays a crucial role in determining the behavior of tires. The majority of rolling resistance occurs as a result of the tire deforming as it comes into contact with the ground. However, this deformation is not instantaneous; it occurs at specific frequencies depending on how fast the tire is rotating.
A tire rotating at 100 km/h will deform about 15 times per second, which corresponds to an oscillation frequency of around 15 Hertz. This low-frequency range is where rolling resistance is most significant. On the other hand, the tread needs to react quickly to the unevenness of the road in order to maintain grip, and this occurs at a much higher frequency.
The Role of Silica in Tire Compounds
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Before the introduction of silica into tire compounds, it was difficult to choose between a compound with high energy losses but high grip or one with low energy losses across all frequencies but less grip. However, the addition of silica has changed this paradigm. Silica compounds have low energy losses in the low-frequency range, meaning low rolling resistance, but high energy losses in the high-frequency range, resulting in more grip.
This allows us to separate the behavior of the compound depending on the speed and frequency of deformation. For example, if you set the speed of deformation to a low value, you'll see that the tire behaves similarly to one with high hysteresis, whereas at higher speeds, it exhibits characteristics similar to those with low hysteresis.
Conclusion
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In conclusion, the concept of hysteresis plays a crucial role in understanding the behavior of materials like bouncy balls and tires. By controlling the frequency of deformation and selecting the right type of compound, we can manipulate the hysteresis of these materials to achieve desired outcomes. The introduction of silica into tire compounds has revolutionized the industry by allowing us to separate the behavior of the compound depending on the speed and frequency of deformation.
The Eco-Marathon and Shell
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As part of our study, we had the opportunity to visit the Shell Eco-marathon and participate in a manufacturing plant dedicated solely to producing ultra-low rolling resistance tires used by participating teams. It was an incredible experience that showcased the significant progress made in tire technology.
A special thank you goes out to Shell for sponsoring this video and bringing us to the Eco-marathon. Congratulations to this year's category winners!