4. ELASTICITY AND RELATED CONCEPT

1.3  Elasticity and Related Concepts
1. Elasticity: Is the ability of a solid material to return to its original shape and size after the removal of external forces that caused its deformation. This property allows materials to resist permanent shape changes and recover their initial form when the applied stress is removed.
2. Deforming Forces: These forces alter a body's shape, size, or configuration by causing deformation.
3.  Restoring Force: A restoring force is an internal force exerted by a deformed body that acts in the opposite direction of deformation, striving to return the body to its equilibrium state.
4.   Elastic Body: An elastic body is one that regains its original shape and dimensions after the removal of deforming forces. Common examples include a soccer ball, rubber band, and spring.


1.4.1  Stress
When a deforming force acts perpendicular (normal) to the surface of a body, it generates normal stress. This type of stress can be further classified into:
When a deforming force acts parallel (tangentially) to the surface of a body, it produces tangential stress, also known as shear stress. This type of stress leads to a change in the shape of the body without altering its volume.


1.4.3 Strain
Longitudinal Strain: If the deforming force produces a change in length only, the strain produced is called longitudinal or tensile strain. It is defined as the ratio of change in length to the original length.

Stress is defined as the restoring force per unit area of a material.

Stress = F/A

Unit of stress is N/m2 or Pascal Stress is of two types:

1.4.2 Types of Stress

1. Normal Stress:

 a. Tensile Stress (when the force pulls the body apart, increasing its length)

·b. Compressive Stress (when the force pushes the body inward, reducing its length)

2. Tangential Stress (Shear Stress):

Strain is defined as the ratio of change in configuration to the original configuration, when a deforming force is applied to a body.

Strain is of three types:

i.  Longitudinal Strain: If the deforming force produces a change in length only, the strain produced is called longitudinal or tensile strain. It is defined as the ratio of change in length to the original length.


ii. Volumetric strain: It is defined as the ratio of the change in volume to the original volume


iii.    Shearing strain: It is defined as the ratio of lateral displacement of a surface under the tangential force to the perpendicular distance between surfaces.

Strain is a ratio of two similar physical quantities, it has no units and dimensions.