摘要
利用界面元良好的相容性,引入过渡界面元的概念,实现了界面元与有限元二种数值计算方法的结合,并提出了一种界面元-有限元-无限元混合模型。这种混合模型既可以发挥界面元计算精度高、适用于不连续变形等优点,又能够充分利用有限元的计算效率和无限元方便处理无限域介质的特点,较为和谐地解决了计算精度和计算效率的矛盾。数值算例表明,本文所建立的混合模型的有效性,揭示此类混合模型具有广阔的工程应用前景。
Based on the model of rigid-spring element suitable for homogeneous elastic problem, which was developed by Japanese professor Kawai, the interface stress element model (ISEM) for solving the problem of discontinuous media mechanics has been established. Compared with the traditional finite element method (FEM), The ISEM is more accurate and applicable. But on the other hand, the total number of freedom degree of ISEM in dealing with three-dimensional problems is higher than that of FEM, which often brings about the negative effects on efficiency of calculation and the handling of infinite body or semi-infinite body. Therefore, it is necessary to establish a mixed model by gathering the advantages of ISEM, FEM and IEM (infinite element method) together. By making use of the good compatibility of ISEM and introducing the concept of transitional interface element, this paper combines the counting methods of ISEM and FEM, and proposes a mixed model of ISEM-FEM-IEM which can solve, to a large extent, the contradictions between accuracy and efficiency of calculation. The examples prove the applicability and adaptability of this model to engineering.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2005年第1期8-12,共5页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金重大项目(594936003)资助项目.
关键词
刚体-弹簧元
界面应力元
有限元
无限元
混合模型
不连续介质力学
Calculations
Elasticity
Finite element method
Interfaces (materials)
Rigidity
Stresses
Three dimensional
