固结问题无单元法解的影响因素分析

无单元法是求解比奥固结问题的一种新型数值方法。在采用罚函数法处理本质边界条件的基础上，推导出无单元伽辽金法解固结问题的系统方程。并着重讨论了计算域内结点分布方式、结点影响域的形状和大小、数值积分方案、惩罚因子等因素对结点位移、超孔隙水压力等的计算结果精度的影响。通过比较、分析，分别提供出相应的取值范围，或给出了参考性建议。

Analysis of influencing factors in solutions to consolidation problem using meshless method

Meshless method is a new type numerical method of solving the Biots consolidation problem. On the basis of treating the essential boundary conditions with penalty method, the system equations of consolidation problem with meshless method are developed. Then the factors which influence the accuracy of nodes displacements, excess pore water pressures including the mode of nodes arrangement in the calculation domain, the shape and size of the influencing domain, the numerical integral scheme and penalty parameter are discussed. By analysis and comparisons, the corresponding value scope or reference suggestion are provided.