中文摘要：

对X射线辐照圆柱壳体的平面应变热-力学效应进行数值模拟,需解决不规则四边形网格中的能量沉积计算问题。本文采用严格的积分方法对不规则四边形网格内的能量沉积进行了计算,得到了相对精确的能量沉积结果,同时还给出了3种简便算法,并将近似结果与精确解进行了对比。结果表明,中点积分法和平行四边形近似法既省时又具有高精度,能很好取代积分方法计算能量沉积,且中点积分法不受网格划分的限制,具有更好的普适性;余弦近似法虽更省时但误差较大,数值模拟中不宜采用。

英文摘要：

To simulate the plane strain thermo-mechanical effect of cylindrical shell radiated by X-ray,the problem about energy deposition calculation in irregular quadrilateral grids must be solved.In this paper,a strict integral method was adopted to calculate the energy deposition,and relatively accurate result was obtained.Then three convenient arithmetics were presented,by which three approximate numerical results were gotten.Comparing the approximate results with accurate result,the conclusions are obtained as follows： The midpoint integral and parallelogram approximation arithmetics both save computation time and have high precision,and they can replace the integral method to compute energy deposition very well;the midpoint integral arithmetic is of better applicability for it is not confined by the grid plot;the cosine approximation arithmetic generates too large error to be used in numerical simulation despite of saving more time.