relation between young modulus bulk modulus and poisson ratio pdf

Relation between young modulus bulk modulus and poisson ratio pdf

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Different Elastic Constants and Their Relationships

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity eta is

Elastic modulus

Hayes, M. September 1, September ; 65 3 : —

Different Elastic Constants and Their Relationships

The derived SI unit of shear modulus is the pascal Pa , although it is usually expressed in gigapascals GPa or in thousand pounds per square inch ksi. The shear modulus is one of several quantities for measuring the stiffness of materials. All of them arise in the generalized Hooke's law :. The shear modulus is concerned with the deformation of a solid when it experiences a force parallel to one of its surfaces while its opposite face experiences an opposing force such as friction. In the case of an object shaped like a rectangular prism, it will deform into a parallelepiped. Anisotropic materials such as wood , paper and also essentially all single crystals exhibit differing material response to stress or strain when tested in different directions. In this case, one may need to use the full tensor-expression of the elastic constants, rather than a single scalar value.

You must find out and read the following quite useful engineering articles and these are as mentioned below. Metal cutting tools i. 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.

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity eta is

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. For most common materials the Poisson's ratio is in the range 0 - 0. Typical Poisson's Ratios for some common materials are indicated below.

Elastic 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.

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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. Other applications such as drilling require the knowledge of the in situ stresses to avoid the wellbore instability problems.

DERIVE RELATION BETWEEN YOUNG'S MODULUS BULK MODULUS AND POISSON RATIO

It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. For a fluid , only the bulk modulus is meaningful.

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Старик посмотрел на него с явным недоумением. - У вас какие-то проблемы. Беккер чуть нахмурился: старик говорил по-английски безукоризненно. Он поспешил избавиться от покровительственного тона. - Извините, что я вас побеспокоил, но скажите: вы, случайно, не были сегодня на площади Испании. Глаза старика сузились. - Вы из муниципалитета.

ГЛАВА 65 Бринкерхофф мерил шагами кабинет Мидж Милкен. - Никому не позволено действовать в обход фильтров. - Ошибаешься, - возразила.  - Я только что говорила с Джаббой. Он сказал, что в прошлом году сам установил переключатель. Личный помощник директора отказывался верить ее словам.

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Человек неумолимо приближался по крутой дорожке. Вокруг Беккера не было ничего, кроме стен. По сторонам, правда, находились железные ворота, но звать на помощь уже поздно.

3 comments

  • Christian R. 17.11.2020 at 08:45

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  • Marthe R. 18.11.2020 at 09:04

    Young's Modulus And Bulk Modulus relation · K is the Bulk modulus. · Y is Young's modulus. · μ is the Poisson's ratio.

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