Question

При каких деформациях справедлив (выполняется) закон гука?​

Answer 1

Ответ:

Только для упругих деформаций.

Тех тел, которые могут обратно принять свое начальное Положение.

Answer 2

The Law of Hooke and Deformations

The Law of Hooke, also known as Hooke's Law, states that the force required to deform an elastic material is directly proportional to the amount of deformation. This law is named after the English scientist Robert Hooke, who first formulated it in the 17th century.

According to Hooke's Law, the relationship between the force applied to an object and the resulting deformation can be expressed mathematically as:

F = k * x

Where: - F is the force applied to the object, - k is the spring constant or stiffness of the material, - x is the displacement or deformation of the object.

The Law of Hooke is valid for small deformations within the elastic limit of a material. In other words, it applies when the material returns to its original shape and size after the force is removed.

Deformations in which Hooke's Law is Valid

Hooke's Law is applicable to various types of deformations, including:

1. Tensile Deformation: Tensile deformation occurs when a material is stretched or elongated along its length. Hooke's Law is valid for this type of deformation as long as the material remains within its elastic limit.

2. Compressive Deformation: Compressive deformation occurs when a material is compressed or shortened along its length. Hooke's Law is also valid for this type of deformation within the elastic limit.

3. Shear Deformation: Shear deformation occurs when adjacent layers of a material slide past each other in a parallel manner. Hooke's Law is applicable to shear deformation as long as the material remains within its elastic limit.

It is important to note that Hooke's Law is an idealized representation of the behavior of materials and may not hold true for all materials or under extreme conditions. Some materials may exhibit non-linear behavior or undergo plastic deformation beyond their elastic limit.

Conclusion

The Law of Hooke, or Hooke's Law, is valid for various types of deformations, including tensile deformation, compressive deformation, and shear deformation, as long as the material remains within its elastic limit. This law states that the force required to deform an elastic material is directly proportional to the amount of deformation. However, it is important to consider that Hooke's Law is an idealized representation and may not hold true for all materials or under extreme conditions.