Strain Formula

The Greek symbol epsilon (ε) represents the strain equation.

ε = Δx/x

Where,

Δx = Change in dimension

x = Original dimension

Derivation of Formula

The three-dimensional depiction of strain that occurs as [M⁰L⁰T⁰]

Here,

• M = Mass
• L = Length
• T = Time

As a result, the following formula for strain may be derived from the aforementioned formula or equation:

[M⁰L⁰T⁰] = M⁰L¹T⁰ × [M⁰L¹T⁰]⁻¹

The dimensional formula of length = [M⁰L¹T⁰]

Finally, the formula of strain is = Change in dimension/Original value of dimension

Also, Check

• Stress and Strain
• Stress Strain Curve
• Modulus of Elasticity

Deformation is the change of a body from a reference configuration to a current configuration in continuum mechanics. A configuration is a collection of all the locations of the body’s particles. External loads, intrinsic activity (e.g. muscular contraction), body forces (such as gravity or electromagnetic forces), or changes in temperature, moisture content, or chemical reactions, among other things, can produce deformation.

Strain is associated with deformation in terms of relative particle displacement in the body, excluding rigid-body movements. Depending on whether the strain field is defined with regard to the initial or final configuration of the body, and whether the metric tensor or its dual is considered, several equivalent options for the formulation of the strain field may be made.

A deformation field occurs in a continuous body as a result of a stress field caused by applied forces or changes in the body’s temperature field.