弹性异质介质的离散建模

IF 1.9 4区 工程技术 Q3 MECHANICS
Q. Zhang , J. Eliáš , K. Nagai , J.E. Bolander
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引用次数: 0

摘要

离散模型在模拟准脆性材料的断裂方面具有优势,部分原因是它们可以简单地表示裂纹和其他形式的位移不连续性。然而,作为断裂模拟基础的应力分析却因难以模拟泊松效应和弹性行为的其他方面而变得复杂。Voronoi 单元网格模型是基于粒子的网格模型的一种形式,对其进行弹性应力分析的能力进行了评估。研究发现,在基于粒子的晶格模型中表示泊松效应的传统方法会产生空间相关的应力振荡,乍一看,这种振荡模仿了材料异质性的影响。相关长度取决于离散化尺寸。另外,还可以通过随机分配材料属性,将材料异质性引入弹性均匀网格模型,而与网格尺寸和几何形状无关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Discrete modeling of elastic heterogeneous media

Discrete models provide advantages in simulating fracture in quasi-brittle materials due, in part, to their simplicity in representing cracking and other forms of displacement discontinuity. However, the stress analyses that form the basis for fracture simulation are complicated by difficulties in modeling the Poisson effect and other aspects of elastic behavior. The capabilities of Voronoi-cell lattice models, which are a form of particle-based lattice model, for elastic stress analysis are evaluated. It is found that the conventional means for representing the Poisson effect in particle-based lattice models result in spatially correlated stress oscillations that, at first glance, mimic the effects of material heterogeneity. The correlation length is dependent on discretization size. Alternatively, material heterogeneity can be introduced into elastically uniform lattice models via random assignments of material properties, independent of mesh size and geometry.

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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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