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首页> 外文期刊>Engineering Computations >Meshfree method analysis of Biot's consolidation using the node-based smoothed point interpolation method (NS-PIM)
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Meshfree method analysis of Biot's consolidation using the node-based smoothed point interpolation method (NS-PIM)

机译：基于节点的平滑点插值方法（NS-PIM）对Biot固结进行无网格方法分析

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Purpose - The purpose of the article is to extend the node-based smoothed point interpolation method (NS-PIM) for soil consolidation analysis based on the Biot's theory.Design/methodology/approach - The shape functions for displacements and pore pressures are constructed using the PIM separately, leading to the Kronecker delta property and easy implementation of essential boundary conditions. Then, a benchmark problem of 2D consolidation under ramp load is solved to investigate the validity of this application. Meanwhile, convergence features of different solutions are studied. Furthermore, the incompressible and impermeable condition under instant load is investigated. The results calculated by the NS-PIM solution with different orders of shape functions are compared. Finally a 2D consolidation problem in construction period is solved. An error estimation method is applied to check the mesh quality.Findings - The results of the NS-PIM solution show good agreement with those certified results. Useful convergence features are found when comparing the results of the NS-PIM and the FEM solutions. A simple method is introduced to estimate the errors of the model with rough grids. The convergence features and error estimation method can be applied to check the mesh quality and get accurate results. More stable results can be obtained using the NS-PIM solution with lower order of pore pressure shape functions under the incompressible and impermeable condition.Research limitations/implications - It cannot be denied that the calculation of NS-PIM solution takes more time than that of the FEM solution, and more work needs to be carried out to optimize the NS-PIM solution. Also, in further study, the feasibility of more complicated and practical engineering problems can still be probed in the NS-PIM solution.Practical implications - This paper introduced a method for the consolidation analysis on the situation of construction loads (ramp load) using the NS-PIM which is quite indispensable in many foundation problems. Also, more stable results can be obtained using the NS-PIM solution with lower order of pore pressure shape functions than that with same order of shape functions.Originality/value - This study first focuses on the situation of construction loads (ramp load) in the NS-PIM consolidation analysis which is quite indispensable in many foundation problems. An error estimation method is introduced to evaluate the mesh quality and get accurate values based on the convergence features of the FEM and NS-PIM solutions. Then, the incompressible and impermeable condition under instant load is investigated, and the analysis show that the NS-PIM with lower order of pore pressure shape functions can get stable results in such conditions.
机译：目的-本文的目的是基于Biot理论扩展用于土壤固结分析的基于节点的平滑点插值方法（NS-PIM）。设计/方法/方法-使用位移和孔隙压力的形状函数来构造单独使用PIM，从而获得了Kronecker三角洲的属性，并且易于实现基本边界条件。然后，解决了斜坡载荷下二维固结的基准问题，以研究此应用程序的有效性。同时，研究了不同解的收敛特性。此外，研究了瞬时载荷下的不可压缩和不可渗透条件。比较了使用不同阶数形状函数的NS-PIM解决方案计算的结果。最终解决了施工期的二维固结问题。结果-NS-PIM解决方案的结果与那些经过认证的结果吻合良好。比较NS-PIM和FEM解决方案的结果时，会发现有用的收敛功能。引入了一种简单的方法来估计带有粗糙网格的模型的误差。收敛性特征和误差估计方法可用于检查网格质量并获得准确的结果。在不可压缩和不可渗透的条件下，使用具有较低阶孔隙压力形状函数的NS-PIM解决方案可以获得更稳定的结果。研究局限/含义-不可否认，NS-PIM解决方案的计算要比计算出的时间长FEM解决方案，还需要开展更多工作来优化NS-PIM解决方案。另外，在进一步的研究中，仍然可以在NS-PIM解决方案中探究更复杂和实际的工程问题的可行性。实际意义-本文介绍了一种使用工程施工荷载（斜坡荷载）情况进行固结分析的方法。 NS-PIM在许多基础问题中是必不可少的。同样，使用NS-PIM解决方案，与具有相同阶数的形状函数相比，使用较低阶的孔隙压力形函数即可获得更稳定的结果。原始数据/值-本研究首先关注建筑荷载（斜坡荷载）的情况NS-PIM合并分析在许多基础问题中都是必不可少的。引入了一种误差估计方法，以基于FEM和NS-PIM解决方案的收敛特性来评估网格质量并获得准确的值。然后，研究了瞬时载荷下的不可压缩和不可渗透条件，分析表明，具有较低阶孔压形状函数的NS-PIM在这种条件下可以获得稳定的结果。

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