热局部非平衡流体多孔弹性半平面问题的非线性研究  

Nonlinear Study on Fluid Porous Elastic Half-plane Based on Local Thermal Non-equilibrium

作　　者：朱媛媛[1] 王笑梅[1] ZHU Yuanyuan;WANG Xiaomei(The College of Information,Mechanical and Electrical Engineering,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海师范大学信息与机电工程学院,上海200234

出　　处：《郑州大学学报（工学版）》2020年第6期60-65,共6页Journal of Zhengzhou University（Engineering Science）

基　　金：上海市自然科学基金资助项目(17ZR1419800)。

摘　　要：在几何非线性和热局部非平衡条件下,对不可压流体饱和多孔热弹性半平面在表面温度载荷作用下的热动力学特性进行研究。首先基于多孔介质混合物理论给出了问题的动力学数学模型。然后提出了一种综合的数值计算方法来求解问题,该方法通过微分求积法和二阶后向差分格式在空间域和时间域离散数学模型,利用Newton-Raphson法求解非线性代数方程组,从而可得到问题的数值结果。研究表明,求解方法是有效可靠的,且具有计算量小、精度高等优点。最后,研究了流体饱和多孔热弹性半平面在表面温度载荷下的热力学特性,考察了材料参数和几何非线性对半平面动力学行为的影响。In the case of geometric nonlinearity and local thermal non-equilibrium,thermodynamic characteristics for an incompressible fluid-saturated porous thermo-elastic half-plane subjected to a surface temperature loading were studied.Firstly,the mathematical model of problem was established based on the Porous Media Theory.Then a synthetical numerical computation method was presented to simulate the numerical results of problem,in which,the differential quadrature method and the second-order backward difference scheme were applied to discretize mathematical model on the spatial and time domain,respectively.The Newton-Raphson iterative method was finally used to solve the nonlinear algebraic equations and to present the numerical results of the problem.The study pointed out that the solution method was effective and reliable.The advantages of the presented method,such as little calculated amount and high accuracy,could be proved.Finally,the thermodynamics characteristics for a fluid-saturated porous thermo-elastic half-plane subjected to the surface temperature loadings were studied,the effects of material parameters and geometric nonlinearity on the dynamic characteristics were considered in detail.

关 键 词：多孔介质混合物理论(PMT) 流体饱和多孔热弹性半平面 几何非线性 热局部非平衡 微分求积法(DQM) 热动力学特性 

分 类 号：TU311[建筑科学—结构工程]