【摘要】 根据分数阶广义热弹性理论,研究了与温度相关的球形空腔无限大体受到的热冲击动态响应、弹性模量和热传导率为温度的线性函数。基于分数阶热弹性理论的控制方程式通过拉普拉斯变换进行求解,得到了无量纲的温度、位移、环向应力和径向应力的分布规律。重点分析温度相关参数对所考虑物理量的影响。分析结果表明:分数阶参数对所涉及到的物理量都有不同程度的影响,温度相关参数对各物理量的幅值都有不同程度的降低影响。更多还原

【Abstract】 According to fractional order generalized thermal elastic theory,thermal shock dynamic response applied to spherical cavity which is related to temperature was analyzed.Elasticity modulus and pyroconductivity are linear function of temperature.Control equation based on fractional order thermal elastic theory is solved by Laplace transform to get distribution rule of temperature without dimensional,displacement,circumferential stress and radial stress.The result shows that fractional order parameter has different influence on related physical quantity,the amplitude of parameter related to temperature for each physical quantity have a different degree of reduction.更多还原