基于自然元法和精细积分法的功能梯度材料瞬态热传导问题求解  

Transient heat conduction solution to functionally graded materials based on natural element method and precise integration method

作　　者：李庆华[1] 陈莘莘[1] 薛志清[1] 曹晖[1] 

机构地区：[1]湖南工业大学土木工程学院,湖南株洲412007

出　　处：《计算机辅助工程》2011年第3期25-28,共4页Computer Aided Engineering

摘　　要：为促进无网格法分析技术在热传导分析中的应用,提出空间离散采用自然单元法、时间离散采用精细积分法求解功能梯度材料瞬态热传导问题的数值计算方法.在计算过程中,取高斯点的材料参数模拟功能梯度材料特性的变化.温度场采用自然邻接点插值形函数进行离散插值.数值算例验证该数值算法的正确性和有效性.To promote the application of meshless method in heat conduction analysis,a numerical computation method is propsed for transient heat conduction analysis of functionally graded materials.In the method,the space domain is discretized by natural element method and time is discretized by precise integration method.In the computation,the variations of functionally graded material properties are simulated by employing material parameters at Gauss points.The natural neighbor interpolation shape function is used to discretize temperature field.A numerical example indicates the validity and effectiveness of the method.

关 键 词：功能梯度材料 热传导 自然单元法 精细积分法 

分 类 号：TB34[一般工业技术—材料科学与工程]