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Young modulus of perfect eleastic body?

Updated: 8/17/2019
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for a perfect elastic body the stress strain graph is always linear, meaning stress is always proportional to the strain through a constant i.e., the young's modulus of elasticity which is proportional to the slope of the linear property of the stress strain graph. if a body is ideally plastic it means to have infinite linear line from the centre of the stress strain graph. A linear line like this could have any slope=tan θ. this linear line could have any angle meaning any slope can values between 1 and 0 implying that young's modulus could be any value.

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Q: Young modulus of perfect eleastic body?
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Young’s Modulus (also referred to as the Elastic Modulus or Tensile Modulus), is a measure of mechanical properties of linear elastic solids like rods, wires, and such. Other numbers measure the elastic properties of a material, like Bulk modulus and shear modulus, but the value of Young’s Modulus is most commonly used. This is because it gives us information about the tensile elasticity of a material (ability to deform along an axis). Young’s modulus describes the relationship between stress (force per unit area) and strain (proportional deformation in an object). The Young’s modulus is named after the British scientist Thomas Young. A solid object deforms when a particular load is applied to it. The body regains its original shape when the pressure is removed if the object is elastic. Many materials are not linear and elastic beyond a small amount of deformation. The constant Young’s modulus applies only to linear elastic substances.


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