# Finding the elastic modulus of a metal in a mixed phase

• joemmonster
In summary, the question asks how to extract the elastic modulus of copper when it is plated onto aluminum, given the thickness of both metals, the combined modulus, and the modulus of copper. The only relevant equation is the Young's modulus equation, but it is difficult to apply in this situation. A possible solution could involve conducting a tensile test on the two metals, treating it similarly to rebar in a concrete beam. However, this may be challenging due to the desired parameter being the Young's modulus of copper rather than the combined modulus.
joemmonster

## Homework Statement

If a metal is adhered to a surface of another metal, let's say copper is plated onto aluminum, how can the elastic modulus of copper can be extracted given only the data of the thickness of the copper and aluminum, the young's modulus of the combined metal and the modulus of the copper.

## Homework Equations

Young's modulus equation is the only thing i can think of which is E = Stress/Strain

## The Attempt at a Solution

Tried to plug in the values by breaking down the stress into F/A = (F/L*W) in which W is the thickness of copper and aluminum but the moduli left untouched.

Looking at your example, copper plated onto aluminum, I think you are hoping for too much. A plated film is not going to have significant influence on the mechanical properties of an aluminum bar.

Now if the plated film and the aluminum base are of comparable thickness, you might envision a tensile test that would give some information. Presumably, the two films would both suffer identical strain in the tensile test, so you could treat this the same way that rebar in a concrete beam is treated. It will be a bit awkward since the thing you want to discover is the Young's modulus for the copper, but it should be possible.

## 1. What is the elastic modulus of a metal in a mixed phase?

The elastic modulus, also known as Young's modulus, is a measure of a material's stiffness or resistance to deformation. In the case of a metal in a mixed phase, the elastic modulus refers to the stiffness of the material when it is in a combination of different phases, such as solid and liquid.

## 2. Why is it important to find the elastic modulus of a metal in a mixed phase?

Knowing the elastic modulus of a metal in a mixed phase is important in understanding the mechanical behavior of the material. It can help in designing and engineering components that are made of this material, as well as predicting how it will respond to different forces and stresses.

## 3. How is the elastic modulus of a metal in a mixed phase determined?

The elastic modulus of a metal in a mixed phase is typically determined through experimental testing. This involves subjecting the material to controlled forces and measuring its deformation. The resulting data can be used to calculate the elastic modulus using the appropriate equations.

## 4. Can the elastic modulus of a metal in a mixed phase change?

Yes, the elastic modulus of a metal in a mixed phase can change depending on various factors such as temperature, pressure, and composition. These factors can alter the arrangement of the material's atoms and affect its stiffness and other mechanical properties.

## 5. How does the elastic modulus of a metal in a mixed phase compare to that of a pure metal?

The elastic modulus of a metal in a mixed phase may be different from that of a pure metal due to the presence of other phases in the material. In some cases, the elastic modulus of a mixed phase metal may be lower than that of a pure metal, as the different phases can affect its stiffness. However, this can also depend on the specific composition and structure of the mixed phase metal.

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