K=E/(3*(1-2v))
K: Bulk modulus
E: young modulus
v: poison's ratio
on the other hand:
delta V/V=(1-2v)*delta L/L
relative change in Volume equals to: (1-2v) * relative change in length.
p -0.29,e-12.4e3mpa
between .15 and .20
The bulk modulus (K) is a material's resistance to uniform compression from all directions. If you have Young's Modulus (E) and Poisson's ratio (ν), the relationship is: K = E/(3*(1-2ν)) For E = 220 GPa and ν = 0.29, K = 174.603 GPa
Modulus of Compression is the ratio of stress to strain in an uniaxial compression action, while as, bulk modulus is the ratio of volumetric stress (hydrostatic pressure) to volumetric strain in hydrostatic loading. These two modulii are inter-related though and are written with the use of Poisson's ratio. 1/m = (3K-E)/6K 1/m = Poisson ratio K = Bulk Modulus E = Elastic Modulus Satisfied? - tell others, not satisfied? - tell me.
Yes, if the material is very thin in ther axis of compression. If it is not thin, as in compressing a long cyclinder, you do not need to know bulk modulus. If very thin it won't make a lot of difference if it a metal with usual poisson ratio of about 0.25, but will make difference for possion ratio higher, especially approaching 0.5, as in rubber. In the case of the long cyclinder stress = modulus xstrain In the case of the thin material stress = modulus x strain times the quantity (1-u)/ ((1+u)(1-2u)) where u = poisson ratio; the relation to bulk modulus for u is u =1/2 - E/6B where B = bulk modulus and E = elastic modulus
p -0.29,e-12.4e3mpa
In the equation for calculating shear modulus, the relationship between shear modulus (G), Poisson's ratio (), and Young's modulus (E) is given by the formula: G E / (2 (1 )). This equation shows that shear modulus is inversely proportional to Poisson's ratio.
In the Poisson's ratio formula, Poisson's ratio is directly related to Young's modulus. The formula is: Poisson's ratio (Lateral Strain / Longitudinal Strain) - (Transverse Stress / Longitudinal Stress) 1 / 2 (Young's Modulus / Shear Modulus). This shows that Poisson's ratio is inversely proportional to Young's modulus.
In the shear modulus formula, the shear modulus (G) is related to Young's modulus (E) through the equation G E / (2 (1 )), where is Poisson's ratio. This formula shows that the shear modulus is directly proportional to Young's modulus and inversely proportional to Poisson's ratio.
between .15 and .20
In materials science, the shear modulus, Poisson's ratio, and the shear modulus equation are related. The shear modulus represents a material's resistance to deformation under shear stress, while Poisson's ratio describes how a material deforms in response to stress. The shear modulus equation relates these two properties mathematically, helping to understand a material's behavior under shear stress.
since k=E/3(1-2n): where k=bulk modulus and n=poision's ratio it can be seen that value of poision's ratio can't be smaller than 0.5 in order to keep k be +ve.hence poision's ratio is 0.5
The ratio between stress and strain is called the modulus of elasticity or Young's modulus. It represents the stiffness or rigidity of a material and is a measure of how much a material deforms under stress.
The shear modulus and elastic modulus are related properties that describe a material's response to deformation. The shear modulus specifically measures a material's resistance to shearing forces, while the elastic modulus, also known as Young's modulus, measures a material's resistance to stretching or compression. In general, the shear modulus is related to the elastic modulus through the material's Poisson's ratio, which describes how a material deforms in response to stress.
Depends on the hardness of the formulation. Poisson's ratio depends mainly on the bulk modulus and slightly on the Youngs modulus at very low strains for the subject compound. If the Youngs modulus lies between 0.92 and 9.40MN/m², Poisson's ratio lies between 0.49930 and 0.49993.
The bulk modulus (K) is a material's resistance to uniform compression from all directions. If you have Young's Modulus (E) and Poisson's ratio (ν), the relationship is: K = E/(3*(1-2ν)) For E = 220 GPa and ν = 0.29, K = 174.603 GPa
Modulus of Compression is the ratio of stress to strain in an uniaxial compression action, while as, bulk modulus is the ratio of volumetric stress (hydrostatic pressure) to volumetric strain in hydrostatic loading. These two modulii are inter-related though and are written with the use of Poisson's ratio. 1/m = (3K-E)/6K 1/m = Poisson ratio K = Bulk Modulus E = Elastic Modulus Satisfied? - tell others, not satisfied? - tell me.