A 3D finite element with planar symmetry for limit analysis computations

Riccardo Aceti; Antonio Capsoni; Leone Corradi

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A 3D finite element with planar symmetry for limit analysis computations

机译：具有平面对称性的3D有限元用于极限分析计算

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摘要

A formulation for finite element limit analysis of a certain class of 3D perfectly plastic solids governed by von Mises' plasticity condition is presented. A planar symmetry constraint for both geometry and displacement field is assumed to analyze plane problems where the variable nature of transverse dissipation must be considered. A mixed locking free and low distortion sensitive element is formulated on the basis of the natural approach. The solution procedure exploits the kinematic theorem of limit analysis, cast in the form of a minimum problem for a convex but non-smooth dissipation functional. Applications to a notched specimen and to a bolted joint are presented to stress the importance of transverse effects in some problems commonly modeled as purely 2D.

机译：提出了由冯·米塞斯（von Mises）可塑性条件控制的一类3D完美塑性固体有限元极限分析的公式。假定对几何形状和位移场均采用平面对称约束，以分析必须考虑横向耗散的可变性的平面问题。在自然方法的基础上制定了混合的无锁定且低变形的敏感元件。求解过程利用极限分析的运动定理，将其以最小问题的形式转换为凸但不平滑的耗散函数。介绍了在有缺口的试样和螺栓连接处的应用，以强调在通常以纯2D模型化的某些问题中横向效应的重要性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2005年第17期|p.1823-1838|共16页
作者
Riccardo Aceti; Antonio Capsoni; Leone Corradi;
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作者单位

Department of Structural Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy;

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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
中图分类自动化基础理论;工程基础科学;
关键词
finite elements; limit analysis; natural approach; locking free model; perfect plasticity;

机译：有限元;极限分析;自然方法;无锁模型;完美可塑性;

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A 3D finite element with planar symmetry for limit analysis computations

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