【摘要】 采用稳态热传导问题的杂交有限元列式构造了奇异热流密度场单元,利用该单元可以高效、准确地计算热流密度场强度因子.在该杂交有限元的列式中,假设热流密度场由前期提出的一维有限元方法计算得到的特征解推导而来.一系列的数值算例表明,采用奇异热流密度场单元,仅需要很稀疏的有限元网格就可以得到非常精确的结果,说明所提出的方法是有效而可靠的.更多还原

【Abstract】 In this paper,singular heat flux elements are developed from a hybrid finite-element variational function for static heat conduction problems.With the developed element,the heat flux intensity factor can be effectively and correctly predicted.The assumed heat flux field in the formulation of singular heat flux elements are based on the eigenpairs computed via the one-dimension finite-element procedure presented before.A series of numerical examples indicates that the proposed singular heat flux elements help to find solutions with a high accuracy through coarse meshes,and that the proposed method is effective and reliable.更多还原