板材一阶剪切变形理论的渐近精确无锁定有限元实现

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2024-04-19 DOI:10.1016/j.compstruc.2024.107387

K.C. Le , H.-G. Bui

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引用次数: 0

摘要

研究了线弹性均质板在重标定坐标和旋转角度下的渐近精确一阶剪切变形理论。这样就可以开发出渐近精确且无剪切锁定的有限元实现方法。作为应用，对圆形和矩形板进行了数值模拟，结果表明分析解与基于二维理论和三维弹性理论的数值解完全一致。

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Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.