流体饱和多孔热弹性对称平面的动力学分析

doi:10.12066/j.issn.1007-2861.2264

上海大学学报(自然科学版) ›› 2022, Vol. 28 ›› Issue (1): 145-156.doi: 10.12066/j.issn.1007-2861.2264

流体饱和多孔热弹性对称平面的动力学分析

朱媛媛¹, 杨骁²(), 吴海涛¹

1.上海师范大学信息与机电工程学院, 上海 200234
2.上海大学力学与工程科学学院, 上海 200444

收稿日期:2020-02-18 出版日期:2022-02-28 发布日期:2020-10-19
通讯作者: 杨骁 E-mail:xyang@shu.edu.cn
作者简介:杨骁(1965—), 男, 教授, 博士生导师, 博士, 研究方向为建筑结构加固, 结构损伤识别. E-mail: xyang@shu.edu.cn
基金资助:
上海市自然科学基金资助项目(17ZR1419800)

Thermodynamic analysis of a fluid-saturated porous thermo-elastic symmetric plane

ZHU Yuanyuan¹, YANG Xiao²(), WU Haitao¹

1. The College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China
2. Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received:2020-02-18 Online:2022-02-28 Published:2020-10-19
Contact: YANG Xiao E-mail:xyang@shu.edu.cn

摘要/Abstract

摘要：

在几何非线性和热局部平衡条件下, 研究不可压流体饱和多孔热弹性半平面在受到表面温度载荷作用下的动力学特性. 首先, 基于多孔介质混合物理论, 考虑几何非线性的影响, 给出了问题的数学模型; 然后, 提出了一种综合数值计算方法, 该方法通过微分求积法和二阶后向差分格式分别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, 本方法是有效可靠的, 且具有计算量小、精度高等优点. 最后, 考虑了材料参数和几何非线性的影响研究了流体饱和多孔热弹性半平面在表面温度载荷作用下的热力学特性.

关键词: 多孔介质理论, 流体饱和多孔热弹性半平面, 几何非线性, 微分求积法, 热动力学

Abstract:

To address problems related to geometric nonlinearity and the local thermal equilibrium, the thermodynamic characteristics of an incompressible fluid-saturated porous thermo-elastic half-plane subjected to surface temperature loadings are studied. First, a mathematical model of the problem of geometric nonlinearity is established based on the porous media theory. Then, a synthetic numerical computation method is presented to simulate the numerical results of the problem. Here, the differential quadrature method and second-order backward difference scheme are applied to discretize the mathematical model in the spatial and time domains, respectively. In addition, the Newton-Raphson iterative method is used to solve nonlinear algebraic equations and to present the numerical results of the problem. The method presented in this study is proven to be effective and reliable, where its advantages include a small calculated amount and high accuracy. Finally, the thermodynamic characteristics of the fluid-saturated porous thermo-elastic half-plane subjected to surface temperature loadings are studied, and the effects of material parameters and geometric nonlinearity on the dynamic characteristics are considered in detail.

Key words: porous media theory, fluid-saturated porous thermo-elastic half-plane, geometric nonlinearity, differential quadrature method, thermodynamic

中图分类号:

TU311

朱媛媛, 杨骁, 吴海涛. 流体饱和多孔热弹性对称平面的动力学分析[J]. 上海大学学报(自然科学版), 2022, 28(1): 145-156.

ZHU Yuanyuan, YANG Xiao, WU Haitao. Thermodynamic analysis of a fluid-saturated porous thermo-elastic symmetric plane[J]. Journal of Shanghai University（Natural Science Edition）, 2022, 28(1): 145-156.

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流体饱和多孔热弹性对称平面的动力学分析

Thermodynamic analysis of a fluid-saturated porous thermo-elastic symmetric plane

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