识别材料导热系数和导温系数的温度场逆分析

为了识别材料导热系数和导温系数，采用观测温度同时识别材料导热系数和比热容，在建立同时确定导热系数和比热容的肯态温度场逆分析数值计算模型的基础上，引入混沌优化方法求解该优化模型。以克服阻尼牛屯等方法求解该模型所遇到的困难，在瞬态温度场正问题求解中采用了精细积分方法以提高计算精度，算例验证了本文方法的有效性。

Inverse heat conduction problem for identifying thermal conductivity and thermal diffusivity simultaneously

In order to identify thermal conductivity and thermal diffusivity of the material, the thermal conductivity and the heat capacity of unit volume are identified simultaneously according to the measured temperature data based on an inverse computational model of unsteady heat conduction. A new nonlinear inversion algorithm named as chaotic optimization is introduced to solve the present computational model. The chaotic optimization method has the property of global convergence and can overcome the difficulty that exists in the damping Newton method to solve the inverse model. The precise integral method is used to solve the instantaneous heat transfer equations to improve solution precision. The efficiency of the present approach is examined with numerical examples.