Is volume constant in elastic deformation?

In the linear elastic region Hooke’s law applies: σ = Eε. In the region of uniform plastic deformation, sample volume is conserved: Α0L0 = A1L1 .and a power law links stress and strain : σ = K εn , where K = Strength Coefficient n = Strain Hardening Exponent.

How the stress is related to the strain within the elastic limit discuss with the suitable law?

Summary. An object or material is elastic if it comes back to its original shape and size when the stress vanishes. In elastic deformations with stress values lower than the proportionality limit, stress is proportional to strain.

What does it mean when an object is said to be elastic?

elasticity, ability of a deformed material body to return to its original shape and size when the forces causing the deformation are removed. A body with this ability is said to behave (or respond) elastically.

What is elastic Behaviour in physics?

In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. The physical reasons for elastic behavior can be quite different for different materials.

Why does plastic deformation occur at constant volume?

The irreversible process of plastic deformation occurs whenever a shear stress exceeds a critical value and causes permanent changes in atomic positions. Plastic deformation will be assumed to occur at constant volume, as is generally the case for metals.

What happens to the object when the stress exceeds the elastic limit?

When stresses up to the elastic limit are removed, the material resumes its original size and shape. Stresses beyond the elastic limit cause a material to yield or flow. For most brittle materials, stresses beyond the elastic limit result in fracture with almost no plastic deformation.

Which of the following elastic constant exists for all states of matter?

The answer is Option B. The elastic characteristic that is found in all the three states of matter (solid, liquid and gas) is Bulk Modulus. Bulk Modulus refers to the tendency or volumetric elasticity of an object to get deformed in all directions when it is uniformly loaded in all the directions.

Are sound waves elastic or inelastic?

Sound wave, which does require a medium to travel and thus is an elastic wave. Additional information: Electro-Magnetic waves can travel through both empty space as well as gaseous medium. But their speed is highest in empty space which is 3,00,000 km/sec, whereas their speed reduces in liquid or gaseous medium.

What is a spring constant Bitesize?

Spring constant is a measure of the stiffness of a spring up to its limit of proportionality or elastic limit. For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles.

How do you find the elastic constant?

Related Questions More Answers Below. The general definition of elastic constant is as follows: E = stress/ strain. This includes both the modulii, young’s and bulk. In the former, we take longitudinal & in the latter, volume stress and strain respectively.

What is the relationship between elastic modulus and stress?

The proportionality constant in this relation is called the elastic modulus. In the linear limit of low stress values, the general relation between stress and strain is As we can see from dimensional analysis of this relation, the elastic modulus has the same physical unit as stress because strain is dimensionless.

How do you know if a material is elastic or not?

If the graph has very little straight portion, then the material is not elastic. Some materials have a poorly defined yield point. The ratio of tensile stress to tensile strain of a material in the elastic region of a stress-strain curve.

What is the size of the initial elastic region called?

The quantity σ0 in Eq. 7.6 is the size of the initial elastic region that is described as U (A, s) = σ0 in which s is the deviatoric part of the Cauchy stress σ, and A is a fourth-rank tensor that prescribes the initial anisotropy (transverse isotropy) ( Boehler, 1987 ).