Thermoelastic Effect Caused by Longitudinal Collision of Two Bars

抄録

According to the one-dimensional elastic theory, it is well known that step waves of stress and strain propagate when two semi-infinite bars collide with each other. However, to describe precisely, the adiabatic deformation causes a thermal deviation along the bars. Consequently, the heat flow thus produced has an effect on the stress and strain waves. In this paper, the problem is formulated as a coupled transient phenomenon using the one-dimensional equation of motion, the thermal stress-strain relations and the equation of heat flow. The strain and temperature distributions are obtained. It is found that the wave front propagates with velocity c₀=√(E<SUB)T/ρ> (E_T: isothermal Young's modulus). the strain is observed even in the region ahead of the wave front, and the magnitude of the strain behind the wave front is nearly constant but a little smaller compared with that of the ordinary elastic theory.