# Classical Properties of Matter - Elasticity

Graduation-level Study - Physics

This book is intended for being used as a textbook or reference book at the level of first-year graduation-level Physics or engineering. The objective is to provide a set of comprehensive materials that would help the student to grasp the concepts. The prerequisite for this book is pre-university Mathematics and Physics.

#### Table Of Contents

1

##### Introduction to Elasticity

If a system of forces, in equilibrium, acts on a non-rigid body, the body changes its shape or size or both. This can be written as “the body undergoes a deformation” or “a deformation is produced in the body” or “the body is deformed”.

Last updated on: Aug 18, 2021

2

##### Hooke's Law

Strain is the relative change in dimension of a solid (this is also viable to liquid and gas in specific cases) with respect to the original dimension. Strain is accompanied by the change in shape or size or both.

Last updated on: Sep 2, 2021

3

##### Moduli of Elasticity

Young's Modulus is defined as the ratio of the normal stress to the longitudinal strain produced, which is accompanied by a lateral change.

Last updated on: Sep 2, 2021

4

##### Relation between Shear Strain, tensile strain and Compressive Strain

A tangential force F acts on the upper face of a cube while lower face is fixed. As a result, the upper face is displaced and describes an angle Q which is the angle of shear.

Last updated on: Sep 2, 2021

5

##### Relation between Elastic Constants

Suppose a system of tensile forces of magnitude F acts on each face of the above unit cube perpendicularly. So, the tensile stress acting on each face of the cube = F (only magnitude is considered)

Last updated on: Sep 2, 2021

6

##### Torsion of A cylinder

Torsion of a cylinder means the twist of the cylinder at its one end when the other is fixed. Suppose the upper end of a cylinder is fixed and the lower is twisted by a force having magnitude F which is made to act circumferentially.

Last updated on: Sep 2, 2021