【摘要】 研究了无单元法中一些严重制约其发展的关键问题,诸如本质边界条件处理,太多的求逆矩阵运算等。借着有限覆盖技术,利用shepard插值及Taylor展开理论,构造出了新的形函数,解决了上述问题并分析了有关断裂及岩土工程问题。更多还原

【Abstract】 The reasonable inner core of Meshless Method (MM) was inherited. However, the theories of Meshless Method have been studied only for a short time, some questions, such as the treatment of essential boundary conditions and too expensive calculation of inverse matrix, restrict the development of meshless method seriously. The essential reasons, from which above questions originated, was studied. Then with the application of the theory of Shepard-interplanting and Taylor-expansion, a new shape function was constructed by means of limited covering technique, So the above questions were overcome successfully, and the problems about structural fracture and rock-soil engineering were analyzed.更多还原