用软颗粒程序(SPARC)和有限元法模拟剪切带。

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS GEM-International Journal on Geomathematics Pub Date : 2017-01-01 Epub Date: 2017-01-02 DOI:10.1007/s13137-016-0091-2
Barbara Schneider-Muntau, Chien-Hsun Chen, S M Iman Bathaeian
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引用次数: 12

摘要

本文的目的是采用两种解决连续介质力学问题的方法,即无网格“软颗粒”法和基于网格的有限元法,对双轴试验中剪切带的发展、厚度和方向进行数值研究。软粒子编码(Soft PArticle Code, SPARC)是一种基于强公式的直接搭配数值方法,它采用一阶多项式基来求偏微分方程的空间导数。本文采用了一种新的非线性本构模型——粘土的正压力学模型。采用软颗粒程序和有限元方法对双轴试验进行了模拟,包括均匀和非均匀局部变形。通过早期的实验、理论和数值研究,对剪切带的倾角和厚度进行了评估和分析。通过对仿真结果的比较,说明了SPARC方法相对于有限元方法的优点和局限性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Simulation of shear bands with Soft PARticle Code (SPARC) and FE.

The aim of this paper is to numerically investigate the development, thickness and orientation of shear bands, in biaxial test with two approaches towards solving problems of continuum mechanics, namely the meshless "Soft PARticle" method and the mesh based Finite Element method. Soft PArticle Code (SPARC) is a straightforward collocation numerical method based on strong formulation, in which a first order polynomial basis is adopted for the evaluation of spatial derivatives in partial differential equations. A novel nonlinear constitutive model- barodesy for clay, is adopted in this study. The biaxial test, which involves homogeneous, and later inhomogeneous localized deformation is simulated using the Soft PArticle Code and the Finite Element method. The inclination and thickness of the shear bands are evaluated and analysed with the earlier experimental, theoretical and numerical investigations. Furthermore, simulation results are compared and presented to demonstrate the advantages and limitations of SPARC in comparison to FE method.

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来源期刊
GEM-International Journal on Geomathematics
GEM-International Journal on Geomathematics MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
3.50
自引率
0.00%
发文量
18
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