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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Computational Analysis Of Modeling Error For The Coupling Of Particle And Continuum Models By The Arlequin Method
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Computational Analysis Of Modeling Error For The Coupling Of Particle And Continuum Models By The Arlequin Method

机译：粒子模型与连续体模型耦合的建模误差的Arlequin方法计算分析

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摘要

We propose in this paper a 1D model problem to study the convergence of surrogate approximations, using an atomistic-to-continuum coupling method, towards the solution of a full particle model. The 1D problem consists of a collection of springs that exhibits a local defect, materialized by a sudden change in the spring properties. The surrogate model is obtained by the Arlequin approach which introduces an overlap region in which the continuum and particle models are coupled together using Lagrange multipliers. The objective of the present work is to show, via numerical experiments, that the modeling error does indeed converge to zero as the distance of the overlap region from the defect and/or its size are increased.
机译：我们在本文中提出了一个一维模型问题，以使用原子-连续谱耦合方法研究替代近似逼近全粒子模型的收敛性。一维问题由一系列弹簧组成，这些弹簧表现出局部缺陷，通过弹簧特性的突然变化来实现。替代模型是通过Arlequin方法获得的，该方法引入了一个重叠区域，在该重叠区域中，连续谱和粒子模型使用拉格朗日乘数耦合在一起。本工作的目的是通过数值实验表明，随着重叠区域距缺陷的距离和/或其尺寸的增加，建模误差的确收敛为零。

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