INTERMOLECULAR FORCE
In a solid, atoms and molecules are arranged in such a way that each molecule is acted upon by the forces due to the neighbouring molecules. These forces are known as intermolecular forces.
ELASTICITY
- The property of the body to regain its original configuration (length, volume or shape) when the deforming forces are removed, is called elasticity.
- The change in the shape or size of a body when external forces act on it is determined by the forces between its atoms or molecules. These short range atomic forces are called elastic forces.
PERFECTLY ELASTIC BODY
A body which regains its original configuration immediately and completely after the removal of deforming force from it, is called a perfectly elastic body. Quartz and phospher bronze are examples of nearly perfectly elastic bodies.
PLASTICITY
The inability of a body to return to its original size and shape even on removal of the deforming force is called plasticity and such a body is called a plastic body.
STRESS
Stress is defined as the ratio of the internal force F, produced when the substance is deformed, to the area A over which this force acts. In equilibrium, this force is equal in magnitude to the externally applied force.
TYPES OF STRESS
(i) Normal stress: It is defined as the restoring force per unit area perpendicular to the surface of the body. Normal stress is of two types: tensile stress and compressive stress.
(ii) Tangential stress: When the elastic restoring force or deforming force acts parallel to the surface area, the stress is called tangential stress.
STRAIN
It is defined as the ratio of the change in size or shape to the original size or shape.
It has no dimensions, it is just a number.
TYPES OF STRAIN
(i) Longitudinal strain:
If the deforming force produces a change in length alone, the strain produced in the body is called longitudinal strain or tensile strain. It is given as:
(ii) Volumetric strain:
If the deforming force produces a change in volume alone, the strain produced in the body is called volumetric strain. It is given as:
(iii) Shear strain:
The maximum stress to which the body can regain its original status on the removal of the deforming force is called elastic limit.
HOOKE'S LAW
Hooke’s law states that, within elastic limits, the ratio of stress to the corresponding strain produced is a constant. This constant is called the modulus of elasticity. Thus
STRESS STRAIN CURVE
Stress strain curves are useful to understand the tensile strength of a given material.
YOUNG'S MODULUS
For a solid, in the form of a wire or a thin rod, Young’s modulus of elasticity within elastic limit is defined as the ratio of longitudinal stress to longitudinal strain. It is given as:
BULK MODULUS
- Within the elastic limit the bulk modulus is defined as the ratio of longitudinal stress and volumetric strain.
- It is given as:
- – ve indicates that the volume variation and pressure variation always negate each other.
- Reciprocal of bulk modulus is commonly referred to as the “compressibility”.
- It is defined as the fractional change in volume per unit change in pressure.
SHEAR MODULUS OR MODULUS OF RIGIDITY
It is defined as the ratio of the tangential stress to the shear strain.
Modulus of rigidity is given by
POISSON'S RATIO
- The ratio of change in diameter (ΔD) to the original diameter (D) is called lateral strain.
- The ratio of change in length (Δl) to the original length (l) is called longitudinal strain.
- The ratio of lateral strain to the longitudinal strain is called Poisson’s ratio.
ELASTIC FATIGUE
It is the property of an elastic body by virtue of which its behaviour becomes less elastic under the action of repeated alternating deforming forces.
RELATIONS BETWEEN ELASTIC MODULI
- For isotropic materials (i.e., materials having the same properties in all directions), only two of the three elastic constants are independent.
- For example, Young’s modulus can be expressed in terms of the bulk and shear moduli.
BREAKING STRESS
The ultimate tensile strength of a material is the stress required to break a wire or a rod by pulling on it. The breaking stress of the material is the maximum stress which a material can withstand. Beyond this point breakage occurs.