Modulus of Elasticity

In general, the Elastic modulusThe complex modulus (elastic component), storage modulus, or G’, is the “real” part of the samples the overall complex modulus. This elastic component indicates the solid like, or in phase, response of the sample being measurement. elastic modulus is the measure of an object’s or substance’s resistance to being deformed elastically when stress is applied. 

The modulus of elasticity is a specific material constant; it does not theoretically depend on the sample’s geometry.

The elastic modulus of an object is defined as the slope of its stress-strain curve in the elastic deformation region. A stiffer material will be characterized by a higher elastic modulus.


Definition of the Elastic Modulus

The elastic modulus is defined as:

where stress is the force causing the deformation divided by the area to which the force is applied and strain is the ratio of the change in some parameter caused by the deformation to the original value of the parameter. If stress is measured in Pa (pascal), then ‒ since strain is a dimensionless measure ‒ the units of λ will also be in Pa.