摘要
有限覆盖无单元法是一种基于有限覆盖技术和无单元法的数值计算方法。有限覆盖技术是数值流形方法的基础,由于数值流形方法具有统一处理连续与非连续问题的能力,而无单元法的前处理比较简单。因此有限覆盖无单元法综合了数值流形方法与无单元方法的优点,能够更有效地处理非连续性问题。本文简要阐述了有限覆盖无单元法的基本理论,着重将这种方法应用于应力强度因子计算和裂纹扩展模拟问题。若干算例数值计算结果表明了这种方法的有效性。
Finitecoverbased elementfree method is a numerical method based on finitecover concept and elementfree method. Finitecover is fundamental technique in manifold method which can deal with both continuous and discontinuous problems in a universal form. The prior process of the elementfree method is relatively simple. Finitecoverbased elementfree method can integrates merits of both numerical manifold method and elementfree method. At the same time, it can overcome their individual shortcomings. This method can handle discontinuous problems in a fairly effective way and it is easily implemented. In this paper, fundamental theory of the finitecoverbased elementfree method developed by the authors is briefly presented. The proposed method is successfully applied in the computations of stress intensity factor and numerical simulations of crack expansion. The effectiveness of the present method is verified by some numerical examples.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2003年第5期527-531,共5页
Chinese Journal of Geotechnical Engineering
基金
国家自然科学基金资助项目(10172022)
教育部跨世纪优秀人才培养计划研究基金资助项目
关键词
岩土工程
有限覆盖无单元法
裂纹
数值分析
应力强度因子
finite-cover
element-free method
crack
stress intensity
numerical analysis
finite-cover-based element-free method
