What is modular elasticity?

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it is a material property, that describes its stiffness and is therefore one of the most important properties of solid  materials ( we can define it as the ratio of the applied stress to the change in shape of an elastic body).

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The Modulus of Elasticity (also known as the elastic modulus, the tensile modulus, or Young's modulus) is a number that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a force is applied to it. The elastic modulus of an object is defined as the slope of its stress-strain curve in the elastic deformation region