具有不精确弯曲刚度表示的梁的后验误差估计

IF 0.8 Q2 MATHEMATICS

Journal of Applied Mathematics and Computational Mechanics Pub Date : 2023-06-01 DOI:10.17512/jamcm.2023.2.06

A. Torii, Paula M.A. Gracite, L. F. Miguel, R. Lopez

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引用次数: 0

摘要

在这项工作中，我们提出了具有不精确弯曲刚度表示的欧拉-伯努利梁理论的后验误差估计。这在实践中是一个重要的主题，因为具有非均匀弯曲刚度的梁经常使用具有恒定刚度的单元网格进行建模。通过两个算例验证了本文中得到的误差估计。这里给出的估计可以用于自适应网格细化。MSC 2010：74K10，65N15

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A posteriori error estimates for beams with inexact flexural stiffness representation

. In this work, we present a posteriori error estimates for the Euler-Bernoulli beam theory with inexact flexural stiffness representation. This is an important subject in practice because beams with non-uniform flexural stiffness are frequently modeled using a mesh of elements with constant stiffness. The error estimates obtained in this work are validated by means of two numerical examples. The estimates presented here can be employed for adaptive mesh refinement. MSC 2010: 74K10, 65N15

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来源期刊

Journal of Applied Mathematics and Computational Mechanics MATHEMATICS-

CiteScore

2.00

自引率

10.00%

发文量

审稿时长

25 weeks