An interpolating boundary element-free method (IBEFM) for elasticity problems

作者：Ren HongPing; Cheng YuMin^*; Zhang Wu

来源：Science China Physics,Mechanics & Astronomy, 2010, 53(4): 758-766.

DOI：10.1007/s11433-010-0159-1

• moving least-squares (MLS) approximation
• interpolating moving least-squares (IMLS) method
• boundary integral equation
• meshless method
• boundary element-free method (BEFM)
• interpolating boundary element-free method (IBEFM)
• elasticity problem

The paper begins by discussing the interpolating moving least-squares (IMLS) method. Then the formulae of the IMLS method obtained by Lancaster are revised. On the basis of the boundary element-free method (BEFM), combining the boundary integral equation method with the IMLS method improved in this paper, the interpolating boundary element-free method (IBEFM) for two-dimensional elasticity problems is presented, and the corresponding formulae of the IBEFM for two-dimensional elasticity problems are obtained. In the IMLS method in this paper, the shape function satisfies the property of Kronecker delta function, and then in the IBEFM the boundary conditions can be applied directly and easily. The IBEFM is a direct meshless boundary integral equation method in which the basic unknown quantity is the real solution to the nodal variables. Thus it gives a greater computational precision. Numerical examples are presented to demonstrate the method.

• 出版日期2010-4
• 单位上海大学