分数阶热弹理论下温度依赖材料特性问题研究

Study on Temperature Dependent Material Properties under Fractional Order Thermoelastic Theory

基于Youssef提出的分数阶广义热弹理论,研究材料特性随温度变化的含有球腔无限大体边界受热冲击的动态响应。借助拉普拉斯变换及其数值反变换技术,得到了模型的无量纲温度,位移以及应力的变化趋势。结果表明:当材料特性参数随温度变化时,热波传播距离在减小,无量纲温度、位移以及应力受到显著影响。

Based on the fractional generalized thermoelastic theory proposed by Youssef,the author will study on the material properties'dynamic response of infinite boundary roughly heat shock including ball cavity along with temperature changes.Then,the author will take the Laplace transformation and numerical inverse transformation technology to solve the problem and get the model's dimensionless temperature,displacement and stress variation trend.As shown in the distribution diagram,the thermal wave propagation distance will be decreased when material property parameters change with temperature,meanwhile,the dimensionless temperature,displacement and stress are significantly affected.