摘要
介绍滑动最小二乘法的基本理论及无单元法的研究现状,总结应用无单元法模拟场问题的一般实现步骤,推导了无单元法模拟应力场、渗流场以及温度场等问题的整体平衡方程组,并介绍对边界约束条件、自由面迭代等问题的处理方法,阐述无单元法模拟裂纹开展的一般步骤,概括了无单元法解决实际工程问题时的优势以及不足之处,并提出有待于进一步研究的内容和方向。
An introduction is given to the basic principle of moving least square method （MLSM） and current situation of research on the element-free method （EFM）. The steps for EFM to realize field simulation are summarized, and the global equilibrium equations of EFM are derived for simulating the stress field, seepage field, and temperature field. Moreover, the methods to deal with the boundary constraint conditions, free surface iteration, and so on are introduced, and the steps for EFM to simulate crack propagation are also explained. Finally, the advantages and disadvantages of EFM in practical application are pointed out, and some problems needed for further study are proposed.
出处
《水利水电科技进展》
CSCD
北大核心
2006年第6期90-94,共5页
Advances in Science and Technology of Water Resources
基金
河海大学院士学科发展基金资助项目(HHYS003)
关键词
无单元法
滑动最小二乘法
变分原理
场问题
综述
element-free method （EFM）
moving least square method （MLSM）
variational principle
field problem
