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Elasticity (Physics)

Monday, November 26, 2012 | Unknown


*       Elasticity is a branch of physics which studies the properties of elastic materials. A material is said to be elastic if it deforms under stress (e.g., external forces). Thus, elasticity is a physical property of materials which return to their original shape and size after the stress that caused their deformation is no longer applied.
Each object having character to be elastic and inelastic which divided into:
  • Perfectly Elastic Body: 
A body which regains its original configuration immediately and completely after the removal of deforming force from it, is called perfectly elastic body. Quartz and phosphor bronze are the examples of nearly perfectly elastic bodies.
  • Perfectly Inelastic / Plastic Body: 
A body which does not regain its original configuration at all on the removal of deforming force, however small the deforming force may be is a perfectly plastic body. Liquid glasses an example of perfectly plastic body.

When experience force, there some condition happen. Changes in the shape and size of the object depends  the direction and the location of external forces is given. There are several type of deformation depend on the characteristic of object’s elasticity , such as stress (stress) and strain (strain).


Stress
Stress indicates the force that causes change in object’s shape. Stress can be defined quotient between tensile force (F) experienced body cross-sectional area (A). 

Basically there are two types:
  1. Tensile stress: If there is an increase in the length or extension of the body in the direction of the body in the direction of force applied.
  2. Compression stress: If there is decrease in length of the wire or compression of the body due to force applied




   Strain
*      Strain is a measure of how far The object changes its shape. Stress  is applied to the object from the outside, while the strain is the response of object against stress. In the elastic region, the magnitude stress proportional to the strain.





*      Elasticity Modulus
The coefficient that relates a particular type of stress to the strain that results is called a modulus(plural, moduli).
Elastic Modulus=Stress/Strain
 In a very real sense it is a comparison of what is done to a solid object (a force is applied) and how that object responds (it deforms to some extent)
Elastic modulus are properties of materials, not objects. There are three basic types of stress and three associated modulus
    A.      Young Modulus

Young’s Modulus measures the resistance of a solid to a change in its length. The description of the elastic properties of linear objects like wires, rods, columns which are either stretched or compressed, a convenient parameter is the ratio of the stress to the strain, a parameter called the Young's modulus of the material. Young's modulus can be used to predict the elongation or compression of an object as long as the stress is less than the yield strength of the material. 
   B.      Shear Modulus
Shear Modulus  measures the resistance to motion of the planes of a solid sliding past each other. The shear modulus describes the material's response to shearing strains (like cutting it with dull scissors).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). 
         C.    Bulk Modulus
Bulk Modulus which measures the resistance of solids or liquids to changes in their volume
The bulk elastic properties of a material determine how much it will compress under a given amount of external pressure. The ratio of the change in pressure to the fractional volume compression is called the bulk modulus of the material.


*       Hooke’s Law
 Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load applied to it. Many materials obey this law as long as the load does not exceed the material's elastic limit. Materials for which Hooke's law is a useful approximation are known as linear-elastic or "Hookean" materials. Hookean materials is a necessarily broad term that may include the work of muscular layers of the heart. Hooke’s law does have its limits though. If a force is too great, the elastic limit will be exceeded. After the elastic limit is an area called the plastic region. The object may be stretched further in this area, however it will not returned to its original shape and will be permanently distorted. Eventually, the object will reach its breaking point. If the force applied is within the elastic limit, the object will return to its original shape.
Hooke's law in simple terms says that stress is directly proportional to strain. Mathematically, Hooke's law states that
                                            F= -kx
where
x = the displacement of the spring's end from its equilibrium position (a distance in SI units: metres);
F = the restoring force exerted by the spring on that end (in SI units: N or kg·m/s2)
k = a constant called the rate or spring constant (in SI units: N/m or kg/s2).


When this holds, the behavior is said to be linear. If shown on a graph, the line should show a direct variation. There is a negative sign on the right hand side of the equation because the restoring force always acts in the opposite direction of the displacement (for example, when a spring is stretched to the left, it pulls back to the right)


*       The elastic limit
The elastic limit of a substance is defined as the maximum stress that can be applied to the substance before it becomes permanently deformed. It is possible to exceed the elastic limit of a substance by applying sufficiently large stress, as seen in in the figure

Initially a stress strain curve is a straight line. As the stress increases, however the curve is no longer a straight line.When the stress exceeds the elastic limit the object is permanently distorted and it does not return to its original shape after the stress is removed.








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3 comments:

Unknown said...

materi elastisitas disampaikan secara jelas dan lengkap. Hal-hal yang dibahas seperti modulus elastisitas, tegangan, regangan dan beberapa yang lain. Ada beberapa bagian yang ditandai dengan garis bawah, apakah itu bertujuan untuk menandai hal-hal yang penting atau tidak sengaja dibuat.

Unknown said...

Terima Kasih, garis bawah itu dikarenakan ada beberapa materi yang saya ambil dari Wikipedia, tetapi selebihnya saya kombinasikan dengan pemahaman saya :)

Nurfitria Widya Pratiwi said...

thank you for those reference about elasticity
you wrote it thickly and completely

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