含裂纹体结构分析中的再造核质点法(RKPM)

A structural analysis with crack problems by Reproducing Kernel Particle Methods

应用再造核质点法(RKPM)进行了结构裂纹计算问题的研究。将不连续处理技术-可视准则和衍射方法应用于RKPM来模拟裂纹附近场函数,实现二维和三维裂纹体的分析。避免了有限元方法中裂纹附近复杂的网格剖分工作。应用面向对象技术在计算程序中实现了二维和三维裂纹体的应力场计算分析,并且将结构离散工作和裂缝网格构造工作分离,从而提高计算效率。简单的算例表明应用RKPM方法在二维和三维含裂纹结构计算是有效的。

This paper is aimed at presenting a Reproducing Kernel Particle Method (RKPM) for structure analysis on a body with cracks modeled. Discontinuous approximations, visibility criterion and diffraction method are applied to the Reproducing Kernel Particle Method (RKPM) for construction of functions around the crack of a discontinuity in this paper. And the method allows for modeling of arbitrarily cracks without any fine meshing work around all cracks as in FEM. An Object-Oriented computation program has been achieved for stress analysis in 2D and 3D filed with crack modeled. In program design, the operation of solid body discretization is not depending on the construction process of crack surface mesh. The paper concludes with two simple examples demonstrating the computational efficiency of RKPM for discontinuous problems in 2D and 3D filed.