Difference Between Strain Energy and Distortion Energy

Thekey differencebetween strain energy and distortion energy is thatstrain energy is related to the volumetric change in a system, whereas distortion energy is related to the change in the shape of a system。

The terms, strain energy and distortion energy are related to physical systems. We can define strain energy density at a point in a solid substance using two separate components: strain energy and distortion energy. Strain energy is related to the volumetric change of the system we are considering, while distortion energy is related to the change in shape.

内容

1.Overview and Key Difference
2.What is Strain Energy
3.What is Distortion Energy
4.Side by Side Comparison – Strain Energy vs Distortion Energy in Tabular Form
5.概括

What is Strain Energy?

Strain energy is the elastic potential energy a wire can gain during elongation with a stretching force. We can give the strain energy of linearly elastic materials as follows:

U = ½ Vσε

u是应变能量，σ为stressand ε isstrain。When considering the molecular strain in molecules, we can observe the strain energy being released when the constituent atoms are allowed to rearrange themselves during a chemical reaction. Here, the external work done on an elastic substance that causes it to undergo distortion from its unstressed state transforms into strain energy. Strain energy is a type ofpotential energy。我们可以观察到以elastic deformation, is recoverable but in the form of mechanical work.

Difference Between Strain Energy and Distortion Energy

Figure 01: Stress vs Strain diagram for a Ductile Material

For example, cyclopropane has a heat of combustion that is very high (higher than propane) for each additional methyl unit (CH2 unit). Therefore, compounds having unusually large strain energies include tetrahedranes, propellanes, cubane-like clusters, fenestranes, and cyclophanes.

What is Distortion Energy?

Distortion energy is a type of energy that is responsible for the change in the shape of a substance. It is one of the two components of strain energy density, whereas the other energy type is strain energy. We can give this relationship as follows:

Ud = Uo – Uh

Where Ud is the strain energy density, Uo is the strain energy and Uh is the distortion energy. We can use this equation to derive the final condition for failure depending on Von-mise theory.

We can describe distortion energy as a quantity that describes the increase in the free energy density of a substance such as a liquid or a crystal. This free energy change occurs due to the distortions from the substance’s uniformly aligned configuration. This term is also known as the弗兰克自由能，named after the scientist Frederick Charles Frank.

What is the Difference Between Strain Energy and Distortion Energy?

固体物质的应变能密度的两个组成部分：应变能和失真能。应变能是一种弹性势能，在用拉伸力伸长过程中，导线可以在伸长力时获得，而失真能是一种能量，负责物质形状的变化。应变能和失真能量之间的关键区别在于，应变能与系统中的体积变化有关，而失真能量与系统形状的变化有关。此外，应变能的方程为U =½Vσε，其中u为应变能，σ为应力，ε为应变。而失真能量的方程为ud = uo - uh，其中ud是应变能密度。

The following infographic summarizes the differences between strain energy and distortion energy in tabular form.

概括– Strain Energy vs Distortion Energy

There are two components of the strain energy density of a solid substance named strain energy and distortion energy. The key difference between strain energy and distortion energy is that strain energy is related to the volumetric change in a system whereas distortion energy is related to the change in the shape of a system.