- #1
saravanan_n
- 12
- 0
please help on this formula how it has been arrived?
dA=A(1-m dL/L)^2-A
where m= Poisson's ratio
A=area of cross section
L=length
dA=A(1-m dL/L)^2-A
where m= Poisson's ratio
A=area of cross section
L=length
Poisson's Ratio is a material property that describes the relationship between a material's strain (deformation) in one direction and its strain in a perpendicular direction. It is important in science because it can help predict how a material will behave under stress and can also be used to determine the elastic modulus of a material.
Poisson's Ratio is calculated by dividing the negative lateral strain by the axial strain. The formula is ν = -εl/εa, where ν represents Poisson's Ratio, εl represents the lateral strain, and εa represents the axial strain.
Poisson's Ratio is a dimensionless quantity, meaning it does not have any units of measurement. It is simply a ratio of two strains.
Poisson's Ratio can range from -1 to 0.5, with most common materials falling between 0.25 and 0.35. A value of -1 indicates that the material has no lateral strain, while a value of 0.5 indicates the material has no axial strain.
Yes, Poisson's Ratio can be negative for certain materials. This indicates that the material experiences an increase in lateral strain when compressed, rather than a decrease. Materials with negative Poisson's Ratio are known as auxetic materials and are rare in nature.