中文摘要：

采用具有离散点插值特性的重构核粒子法形函数，较精确地重构弹性体变形的位移试函数，再与弹性力学的最小势能原理相结合，形成新的分析弹性力学平面问题的插值型重构核粒子法．由于插值型重构核粒子法形函数具有点插值特性和不低于核函数的高阶光滑性，因而既克服了多数无网格方法处理本质边界条件的困难，也保证了较高的数值精度．与早期的无网格方法相比，本方法具有精度高、解题规模较小、可直接施加边界条件等优点．通过对典型弹性力学问题数值模拟，验证了所提方法的有效性和正确性．

英文摘要：

The displacement trial function is reconstructed by reproducing kernel particle shape function method with interpolation property on discrete points, then combining the principle of minimum potential energy of elasticity, the new interpolating reproducing kernel particle method to analyze the plane problem of elasticity is obtained. Because interpolation reproducing kernel particle shape function has a point interpolation property and no less than the high-order smoothness of kernel function, the difficulty for most of meshless methods to be used to deal with the essential boundary conditions is already overcome, and the high numerical accuracy is assured as well. Compared with the early meshless methods, this method has a high accuracy and a small scale of solving problem and it can be directly applied to boundary conditions. Numerical results for some typical examples of elasticity prove the proposed method to be valid.