摘要
针对功能梯度材料(FGMs)的二维瞬态热传导问题,提出了一种有效的降维精细积分法.通过空间坐标的分步离散,将原二维问题的精细积分转化为一系列一维问题的精细积分,解决了直接精细积分算法所面临的传递矩阵规模过大的问题,从而大幅度降低了计算量和存储量.算例表明了本文方法的有效性.
An efficient algorithm(Decrement-dimensional Precise Time Integration method,DPTI) of two-dimensional transient heat conduction equation is presented for Functionally Graded Materials(FGMs) based on the Precise Time Integration method (PTI). DPTI realizes the matrix storage optimization, and thus,solves the problem of large-scale coefficient matrix H, encountered by PTI, when calculating the transfer matrix T. DPTI also make full use of the similarity of the equation after decreased dimension to reduce the computation time greatly which achieve the optimization of the computational efficiency. The numerical examples are presented to demonstrate the effectiveness and reliability of the proposed method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2010年第4期406-410,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金项目(10672194)
中俄NSFC-RFBR协议项目
中山大学逸仙创新人材培养计划SY2009(39000-3126200)资助
关键词
功能梯度材料
瞬态热传导方程
精细积分法
传递矩阵
降维精细积分法
functionally graded materials,transient heat conduction equation, precise time integration method, transfer matrix, decrement-dimensional precise time integration method