Hysteresivity

Hysteresivity is a term used in the field of Materials Science and Engineering to describe the energy loss in a system undergoing a cyclic process. It is a dimensionless quantity that is defined as the ratio of the energy lost in a cycle to the total energy of the cycle.

Definition

In a cyclic process, such as a mechanical deformation or an electrical signal, energy is input into the system, and some of this energy is lost due to various mechanisms such as friction or electrical resistance. The ratio of the energy lost to the total energy input is known as the hysteresivity. It is a measure of the inefficiency of the system, and is often used in the design and analysis of materials and devices.

Calculation

The hysteresivity is calculated by integrating the power loss over a cycle and dividing by the total energy of the cycle. This can be done using the formula:

H = ∫ P dt / ∫ E dt

where P is the power loss, E is the total energy, and dt is the time increment.

Applications

Hysteresivity is used in many fields of engineering and materials science. For example, in Mechanical Engineering, it is used to analyze the efficiency of mechanical systems and to design materials with specific properties. In Electrical Engineering, it is used to analyze the efficiency of electrical systems and to design devices such as transformers and inductors.

See also

• Hysteresis
• Materials Science
• Mechanical Engineering
• Electrical Engineering

References

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