核电水泵在热冲击下瞬态热效应的研究和分析──PartⅠ热弹性问题微分控制方程的建立和分析

The Research and Analysis on the Effect of the Transient Heating of the Nuclear Power Station Pump under Thermal Shock Part I: The Foundation And Analysis of the Differential Control Equation for the Thermoelashcity Problem

本章简要推导了基于连续介质力学理论而建立的热传导方程和热弹性运动方程２进而采用量纲分析法并结合所研究的核电水泵材料及所受热载的特点，着重对方程中的耦合项和动力项进行了定性讨论；最后，还以一半空间的热冲击问题作为算例，着重研究了在不同温度梯度下动态热应力的变化行为本文的结论为采用基于非耦合和拟静态处理而形成的三维时变有限元法对核电水泵进行瞬态热效应的数值分析提供了理论前提．

In this paper, a heat conduction equation and a dynamic thermoelastic equation are briefly deduced and established on the basis of continuous medium mechanics theory. On top of that, an qualitative discussion is emphatically centered around the couple term and the dynamic term of the equations by means of the dimensional analysis and by considering the combination of the characteristics of the materials of and thermal load effected on the nuclear power station pump under study.Finally, a half-space thermal shock problem is used as a computational example in the highlighted research on the varying behavior of the dynamic thermal stress on the temperature slope. The conclusion of the paper provides reliable justification for applying the numerical method (three-dimensional finite element method developed from non-coupled and quasi-static treatment)on the analysis of the transient heating effect in the nuclear Power station ipump.