【作者】 田荣； 栾茂田； 杨庆；

【Author】 Tian Rong,Luan Maotian,Yang Qing (Department of Civil Engineering and State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024 China)

【机构】 大连理工大学土木工程系及海岸和近海工程国家重点实验室；

【摘要】 无单元方法所采用的滑动最小二乘法(又称为无网格技术)提供了只用点对求解域进行离散的数学工具。流形方法的有限覆盖技术为在统一的数学逼近空间内处理连续与非连续问题奠定了理论基础。因此,将这两种新兴的数值技术相结合,以实现在统一的理论框架下,仿真模拟结构与材料的连续变形、开裂、接触以及多体间的相互作用等复杂的耦合变形与渐进破坏过程。在介绍这一新方法的基本原理的基础上,通过具体算例说明了这两种技术结合的可行性和有效性。更多还原

【Abstract】 A finite-cover element-free method(FCEFM) is presented to solve both continuous and discontinuous deformation problems without meshing in a mathematically consistent framework.The method integrates the finite cover technique of manifold and the multiple weighted moving least square(MWMLS) approximation in a natural manner.Based on example analyses,it is shown that the proposed method is potentially capable to simulate complex problems involving initial small deformation,crack triggering and propagation,nonlinear contact of interfaces and multi-body interaction in geotechnical engineering.更多还原