elastic modulus vs modulus of elasticity

elastic modulus and modulus of elasticity both are nouns.

Word	Noun	Adjective	Verb	Adverb
elastic modulus	Yes	No	No	No
modulus of elasticity	Yes	No	No	No

As nouns, elastic modulus and modulus of elasticity are synonyms defined as:

elastic modulus and modulus of elasticity: (physics) the ratio of the applied stress to the change in shape of an elastic body

Other synonyms of elastic modulus include coefficient of elasticity.

elastic modulus (noun)	modulus of elasticity (noun)
(physics) the ratio of the applied stress to the change in shape of an elastic body	(physics) the ratio of the applied stress to the change in shape of an elastic body