6· s and Strength, 12 points) There are 4 different metallic bars - A, B, C (You

Question

6· s and Strength, 12 points) There are 4 different metallic bars - A, B, C (Young's modulu and D. The uni-axial mechanical tests were performed to obtain their Young's modulus and strength. Young's modulus (the degree of material stiffness) is defined as the slope of linear region, and material strength is typically defined as the stress value at which the non-linearity (plastic deformation) begins. The point of non-linearity beginning is marked as a black point in the figure According to the stress-strain curves below, (a) List the name of materials: from the (elastically) stiffest to the (elastically) most compliant 4 points) b) List the name of materials: from the strongest to the weakest (4 Points). (c)List the name of materials: from the highest to the lowest strain energy density at the onset of the plastic deformation. (4 Points

Explanation / Answer

(a) Stiffness A>D>B>C

Slope shows the stiffness

(b) Strength B>C>A>D

Elastic limit is maximum for B

(c) Strain energy density is the area under the curve

So, B>A>C>D

But, after the onset of plastic deformation, it would be in the order,

A>C>D>B

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