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考虑超急速传热过程中诱发的热冲击效应,基于L-S广义热弹性理论,建立了温度突变加热条件下热弹性响应的控制方程组。借助于Laplace正逆变换,在适当简化的条件下推导了一维超急速传热问题热弹性响应的解析表达式。通过对温度场、位移场及应力场的解析求解,给出了超急速传热过程中热波和热弹性波在弹性体内的传递规律,并指出在超急速传热条件下,由于热波和热弹性波的相互叠加作用削弱了热作用产生的热冲击效应。
Considering the thermal shock effect induced by hypersensitive heat transfer, the governing equations of thermo-elastic response under abrupt heating conditions are established based on L-S generalized thermoelasticity theory. With the help of Laplace inverse transformation, the analytical expression of thermoelastic response of one-dimensional hypersensitive heat transfer problem is deduced under appropriate simplified conditions. Through the analytical solution of the temperature field, the displacement field and the stress field, the laws of heat wave propagation and thermo-elastic wave propagation in the elastomer during the super-rapid heat transfer process are given. The results show that under the hyperthermic heat transfer condition, Thermoelastic wave superimposed on each other weakens the thermal shock effect caused by thermal effects.