The modulus of elasticity is an important mechanical property that describes the ability of a material to deform elastically in response to an external force. However, this term is sometimes expressed in different ways, depending on the context. One common synonym is Young's modulus, which refers specifically to the ratio of stress to strain under tensile loading. Another related term is shear modulus, which describes how a material resists deformation under shear stress. Other possible synonyms for the modulus of elasticity might include elastic modulus, stiffness coefficient, or simply elasticity. As with any technical term, the precise meaning of these synonyms can vary depending on the field of study or application.