The relationship between stiffness and modulus of elasticity in materials is that they are directly proportional. This means that as the modulus of elasticity of a material increases, its stiffness also increases. Stiffness refers to how much a material resists deformation under an applied force, while modulus of elasticity measures the material's ability to return to its original shape after being deformed. Therefore, a higher modulus of elasticity indicates a stiffer material.
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