瞬态热应力问题的组合杂交有限元方法  

Combined Hybrid Finite Element Method Applied in Transient Thermal Stress Problem

作　　者：张玲[1] 聂玉峰[1] Zhang Ling;Nie Yufeng(School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi’an 710129, China)

机构地区：[1]西北工业大学理学院,西安710129

出　　处：《航空工程进展》2017年第4期367-374,共8页Advances in Aeronautical Science and Engineering

基　　金：国家自然科学基金(11471262;11501450);西北工业大学博士论文创新基金(CX201524)

摘　　要：求解瞬态热应力问题的杂交元方法面临Ladyshenskaya-Babuska-Brezzi(LBB)条件的检查,其稳定性难以保证,从而提出瞬态热应力问题的组合杂交有限元方法。建立瞬态热应力问题的基于区域分解的组合杂交变分原理及其有限元离散;通过数值算例验证求解瞬态热应力问题的组合杂交元的数值性能。结果表明:在大宽厚比网格下,八节点六面体组合杂交元(CHH(0-1))可以获得与二十节点六面体元(B20)精度相当的位移计算结果和更好的应力计算结果。The stability of hybrid finite element method of transient thermal stress problem is hard to be guaranteed because of the difficulty of satisfying the ladyshenskaya babuska brezzi(LBB)conditions,accordingly,the combined hybrid finite element method of transient thermal stress problem is proposed.Combinative variation principle and the corresponding finite element discretization of transient thermal stress problem is constructed on the basis of domain decomposition technique.The numerical performance of combined hybrid element for solving transient thermal stress problem is verified by numerical experiments.The numerical results indicate that combined hybrid element with8nodes(CHH(01))can give almost the same computing accuracy of displacement and better computing accuracy of stress compared with cuboid element with20nodes(B20).

关 键 词：瞬态 热应力问题 组合变分原理 稳定性 组合杂交元 大宽厚比 应力精度 

分 类 号：O242.21[理学—计算数学]