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Could you show the derivation of elastic strain energy per unit volume?
Wiki User
∙ 12y ago
U= vol metric integral1/2(stress* strain)dxdydz
Wiki User
∙ 12y ago
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What is the molecules of an ideal gas?
Perfectly elastic collisions, point masses (no volume of individual molecules), no intermolecular attractions.
What causes rocks to undergo stress?
Stress is the force per area, which has the same units as pressure. An elastic material's response to stress is called the strain which is the change in its dimensions divided by its original dimension, such as a change in length divided by length, or change in volume divided by volume. It is a fundamental law that the stress is proportional to the strain, with the proportionality constant being the elastic modulus of the material, Young's modulus for change in length or the the compressibility for change in volume. For shear forces, the modulus is called the shear modulus and the strain is the deformation in the direction of the force divided by the distance from the fixed base that the forces is exerted.
Assumption of kinetic theory of gas?
The volume occupied by gas molecules is negligible when compared to volume occupied by the gas.The collisions between gas molecules-gas molecules and gas molecules-walls of the container are perfectly elastic.
Is the ratio of an objects mass to its volume called potential energy?
no
Does gas particles have volume?
According to the ideal gas law, the volume of individual gas particles is assumed to be zero. Of course, this isn't possible; all matter has volume. However, if we assume they have zero volume (along with collisions which are 100% elastic and statistically random motion) it makes the math a lot easier.
What are the derivation of volume of solid figures?
area
Is defined as ratio of uniform stress to volume strain?
is defined as ratio of uniform stress to volume strain
Show the derivation of the formula of the volume of a cube?
Volume=lbh in a cube,l=b=h therefore,volume=a^3
What is the derivation of the formulae of the volume of the cube?
The volume of a cube is V = x3. The derivative of this is (d/dV)x = 3x2.
What is the derivation of the formula of the volume of a cube?
The volume of a cube is V = x3. The derivative of this is (d/dV)x = 3x2.
How do you find modulus of resilience?
Resilience is the ability of a material to absorb energy when it is deformed elastically, and release that energy upon unloading. The modulus of resilience is defined as the maximum energy that can be absorbed per unit volume without creating a permanent distortion.It can be calculated by integrating the stress-strain curve from zero to the elastic limit. In uniaxial tension,whereUr is the modulus of resilience,σy is the yield strength,andE is the Young's modulus.
What is the derivation of the formula for volume and total surface area of a cylinder?
Volume = Пr2h Area = 2Пr2+2Пrh (where r=radius of base, h=height of cylinder)
Does the volume of beaker depend on the vapor pressure?
No. The volume remains the same unless the material from which it is made is flexible and elastic
What is proof Stress for Steel?
proof stress can be found by referring to the stress/strain curve at the point where strain is = 0.2% original volume (the material has grown 0.2% in volume) proof stress will be given as a measurement of energy (MPa,KPa etc.) as it specifically refers to the amount of energy required to stress the material to 0.2% its original volume.
Water is more elastic than air why?
water is more elastic because the change in volume is less in case of water.So it has greater restoring force.
What is volumetric strain?
Volumetric strain of a deformed body is defined as the ratio of the change in volume of the body to the deformation to its original volume. If V is the original volum and dV the change in volume occurred due to the deformation, the volumetric strain ev induced is given by ev =dV/V Consider a uniform rectangular bar of length l, breadth b and depth d as shown in figure. Its volume V is given by, This means that volumetric strain of a deformed body is the sum of the linear strains in three mutually perpendicular directions.
Which of the following is dimensionless quantity a. stress b. strain c. momentum d. force?
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
