无网格伽辽金法求解轴对称问题  

SOLVING AXISYMMETRIC PROBLEMS VIA EFGM

作　　者：韩治[1] 杨海天[1] 王斌[1] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《工程力学》2005年第5期64-68,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10172024);重点基金项目(10032030);973项目(G1999032805);教育部重点基金[99149];教育部骨干教师资助计划[2000-65];辽宁省中青年学术带头人基金

摘　　要：将无网格技术用于求解轴对称问题,通过加权余量法导出了无网格伽辽金法计算公式,考虑了不同介质的影响,编制了相应的计算程序,并对钢筋对混凝土管性能的影响进行了弹性和粘弹性的计算分析,与其它解相比,得到令人满意的数值结果。在粘弹性问题求解过程中,采用一种时间域自适应精细算法,给出了的径向位移与环向应力误差收敛速率曲线。An EFGM （Element Free Galerkin Method） based algorithm is developed to solve axisymmetric problems in this paper. Formulation is established via a conventional weighted residual technique. Numerical examples of reinforced concrete pipes are studied to validate the proposed approach. Both elastic and visco-elastic cases are taken into account. For the case of viscoelasticity, a self-adaptive precise algorithm in the time domain is employed. Satisfactory results are obtained in terms of convergence rates of displacement and stress, agreeing with other solutions.

关 键 词：无网格伽辽金法 轴对称 弹/粘弹性 混凝土管 收敛速率 

分 类 号：O345[理学—固体力学]