S1 File -

In this manuscript, the dynamic response of a long cylinder subjected to an asymmetric thermal shock is investigated within the framework of generalized micropolar thermoelasticity. The displacement and micro-rotation are assumed to vanish at the surface. Laplace transformation techniques are used to solve the problem. The solution is obtained in the transformed field using an innovative direct approach. Furthermore, we obtain the inverse transformations using a numerical method based on Fourier expansion. The obtained results are carefully presented through graphical representations and discussed extensively across different relaxation time values. It is evident that the relaxation time parameter significantly influences all the distributions. The displacement distributions are always continuous, whereas all other functions, including temperature variation, stress distribution, and micro-rotation, exhibit discontinuity at the wave front. The results obtained hold significant importance in various technological applications and in the manufacturing of mechanical components.

本文基于广义微极热弹性理论（generalized micropolar thermoelasticity）框架，研究了受非对称热冲击作用的长圆柱的动力响应。假定圆柱表面处位移与微旋转量均为零。采用拉普拉斯变换（Laplace transformation）技术求解该问题，通过创新性直接方法在变换域中获得了解答。此外，我们采用基于傅里叶展开（Fourier expansion）的数值方法得到了逆变换解。所得结果通过图形化表征进行了细致呈现，并针对不同松弛时间参数值展开了充分讨论。显而易见，松弛时间参数对所有场量分布均具有显著影响。位移分布始终保持连续，而温度变化、应力分布及微旋转量等其余函数均在波阵面处存在间断性。所得结果在各类工程应用及机械构件制造领域均具有重要应用价值。