Stability And Convergence Of Mixed Methods For Elastic Rods Of Arbitrary Geometry

A.J.B. Santos; A.F.D. Loula; J.N.C. Guerreiro

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Stability And Convergence Of Mixed Methods For Elastic Rods Of Arbitrary Geometry

机译：任意几何弹性杆混合方法的稳定性和收敛性

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A Timoshenko's small-strain model for elastic rods with arbitrary geometry is analyzed using mixed finite element methods based on the Hellinger-Reissner principle. After presenting the mathematical model and commenting on some drawbacks of standard finite element approximations, a stabilized mixed formulation is derived by adding to the Galerkin formulation least squares residual of the equilibrium equations. Stability, uniform convergence and error estimates are proved and results of numerical experiments are presented illustrating the behavior of the finite element approximations, confirming the predicted rates of convergence and attesting the robustness of the stabilized mixed formulation.

机译：基于Hellinger-Reissner原理，使用混合有限元方法分析了Timoshenko的任意几何形状的弹性杆的小应变模型。在介绍了数学模型并对标准有限元近似法的一些缺点进行了评论之后，通过向Galerkin公式中添加平衡方程的最小二乘残差来导出稳定的混合公式。证明了稳定性，一致的收敛性和误差估计，并给出了数值实验的结果，这些结果说明了有限元逼近的行为，确认了预测的收敛速度并证明了稳定混合配方的鲁棒性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2009年第16期|1283-1297|共15页
作者
A.J.B. Santos; A.F.D. Loula; J.N.C. Guerreiro;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
timoshenko model; small-strain; elastic rods; mixed methods; cls stabilization; uniform convergence;

机译：timoshenko模型;小应变;弹性杆;混合法;cls稳定;均匀收敛;

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2. Richtmyer-Meshkov instability for elastic-plastic solids in converging geometries [J] . A. Lopez Ortega, M. Lombardini, P.T. Barton, Journal of the Mechanics and Physics of Solids . 2015,第mara期

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Stability And Convergence Of Mixed Methods For Elastic Rods Of Arbitrary Geometry

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