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Automatic digital-numerical integrated analysis by the image-based meshless method

机译:基于图像的啮合方法自动数值数值综合分析

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The paper takes advantage of the digital images exported from the digital visualization models of geotechnical engineering and the meshless method based on Shepard function and Partition of Unity (MSPU) to develop a new solution for the automatic digital-numerical integrated analysis. The proposed method fully utilizes the information of pixels to substitute geometric models with digital images, which avoids complex and time-consuming computational geometry in conventional pre-processing procedure. A regular and structured mesh is adopted to cover the digital image and the central points of the rectangular elements are taken as the interpolation nodes to discrete the analysis domain. The paper introduces in detail the formulation of the corresponding MSPU interpolation, the treatments of interfaces between materials and the imposition of the displacement boundary conditions. The method possesses the merits of concise formulation, simple numerical implementation and high automation. The proposed method can reduce the high requirements to computational mechanics and professional numerical modeling skills for geotechnical engineers, and provide a new convenient means for automatic numerical analysis based on digital information model. Numerical examples including representative elastic problems and slope stability analysis indicate the high accuracy and wide prospect of the proposed method.
机译:本文利用了从岩土工程数字可视化模型导出的数字图像,基于Shepard函数和Unity(MSPU)分区的无网格方法,为自动数值数值数值分析开发新的解决方案。所提出的方法充分利用像素的信息来用数字图像替代几何模型,这避免了传统预处理过程中的复杂和耗时的计算几何形状。采用常规和结构化网格覆盖数字图像,矩形元件的中心点被视为插值节点以分离分析域。本文详细介绍了相应的MSPU插值的配方,材料之间的界面处理和施加位移边界条件。该方法具有简洁配方,简单数值实施和高自动化的优点。该方法可以将高要求降低到岩土工程师的计算力学和专业数值建模技巧,并为基于数字信息模型的自动数值分析提供了一种新的方便手段。包括代表性弹性问题和坡度稳定性分析的数值示例表示所提出的方法的高精度和广阔前景。

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