The thermoelastic effect is the temperature change that results from stretching an elastic material or fiber.

The thermoelastic effect is the temperature change that results from stretching an elasticmaterial or fiber. The work done on the material is given byW˙ = force × rate of change of distance = A⋅ L⋅σ ⋅dε/dtwhere σ = stress = force/cross - sectional area =force/Aanddε/dt = rate of strain = (1/L)(dL/dt)In the situation being considered here, the thermodynamic properties such as the heatcapacity depend on the stress (just as for a gas the heat capacity depends on the pressure).a. Develop the energy and entropy balances for this one dimensional material,assuming that there is no additional work term other than the stretching work, andthat the volume of the material does not change on stretching (that is, the lengthchange is compensated for by a change in cross sectional area.