# Relation Between Young Modulus Bulk Modulus And Poisson Ratio Pdf

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- Bulk modulus
- Young's modulus
- Relation between Young Modulus, Bulk Modulus, Modulus of Rigidity and Poisson’s Ratio

## Bulk modulus

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Main characteristics of cutting tool materials. Lever and its types with examples. Guidelines for solving friction problems in mechanics. Rolling resistance or rolling friction. Wedge friction and self-locking in engineering mechanics. Concept of force system in engineering mechanics.

Difference between fan and blowers. Basics of centrifugal compressor. Recent Updates. Let us assume that we have following details as mentioned here. Now we will secure here the final dimensions of the cube in order to secure the final volume of the cube and finally we will determine the bulk modulus of elasticity. Let us consider first one side of cube i. As we have already discussed that three mutually perpendicular tensile stresses of similar intensity are acting over the cube.

Let us determine here the effect of tensile stress over the dimensions of the cube. Now we will have to think slightly here to discuss the effect on length of the cube under three mutually perpendicular tensile stresses of similar intensity. Now we will ignore the product of small quantities in order to easy understanding.

Volumetric strain in the specified cube here will be determined as displayed here. Bulk modulus of elasticity will be defined as the ratio of volumetric stress or hydro static stress to volumetric strain and therefore we will write here as mentioned here. As we have already seen above that. Do you have any suggestions or any amendment required in this post? Please write in comment box. Metal cutting tool definition and classification Single point cutting tool nomenclature Difference between rake angle and clearance angle of cutting tool Main characteristics of cutting tool materials Lever and its types with examples Guidelines for solving friction problems in mechanics Rolling resistance or rolling friction Wedge friction and self-locking in engineering mechanics Concept of force system in engineering mechanics Difference between fan and blowers Basics of centrifugal compressor.

Strength of material, By R. Image Courtesy: Google. We will see another important topic i. Thermal stresses in composite bars , in the category of strength of material, in our next post. Negative impact of 3D printing.

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## Young's modulus

Stress and strain may be described as follows in the case of a metal bar under tension. If a metal bar of cross-sectional area A is pulled by a force F at each end, the bar stretches from its original length L 0 to a new length L n. Simultaneously the cross section decreases. Strain is dimensionless. The value for steel is about three times greater, which means that it takes three times as much force to stretch a steel bar the same amount as a similarly shaped aluminum bar.

## Relation between Young Modulus, Bulk Modulus, Modulus of Rigidity and Poisson’s Ratio

An elastic modulus also known as modulus of elasticity is a quantity that measures an object or substance's resistance to being deformed elastically i. The elastic modulus of an object is defined as the slope of its stress—strain curve in the elastic deformation region: [1] A stiffer material will have a higher elastic modulus. An elastic modulus has the form:. Specifying how stress and strain are to be measured, including directions, allows for many types of elastic moduli to be defined. The three primary ones are:.

When a sample of material is stretched in one direction it tends to get thinner in the lateral direction - and if a sample is compressed in one direction it tends to get thicker in the lateral direction. Strain is defined as "deformation of a solid due to stress". An aluminum bar with length 10 m and radius mm 10 -3 m is stretched 5 mm 5 10 -3 m. The radial contraction in lateral direction can be calculated by combining eq.

*The estimation of the in situ stresses is very crucial in oil and gas industry applications. Prior knowledge of the in situ stresses is essential in the design of hydraulic fracturing operations in conventional and unconventional reservoirs. The fracture propagation and fracture mapping are strong functions of the values and directions of the in situ stresses.*

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