MIXED-ENHANCED FINITE ELEMENT FORMULATIONS

机译：混合增强有限元公式

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We present a summary for development of finite element methods based on a full mixed formulation in which displacements, strains and stresses are approximated. Specifically, we construct the general mixed statement for geometrically linear problems and examine the implications of two mixed element classes, namely the enhanced assumed strain and the mixed-enhanced formulations. The consequences of each formulation with respect to the general mixed problem are discussed and compared. Some alternatives for constructing the strain and stress interpolations are presented. Numerical examples are given to demonstrate the effectiveness of the mixed-enhanced methods presented.

机译：我们提出了一个基于完全混合公式的有限元方法开发的摘要，其中位移，应变和应力都是近似值。具体来说，我们构造了几何线性问题的一般混合陈述，并研究了两种混合元素类别的含义，即增强的假定应变和混合增强的公式。讨论并比较了每种配方对一般混合问题的影响。提出了一些构造应变和应力插值的方法。数值例子说明了所提出的混合增强方法的有效性。

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来源
《International Conference on Trends in Computational Structural Mechanics May 20-23, 2001 Schloss Hofen, Lake Constance》|2001年|p.36-56|共21页
会议地点 Schloss Hofen(AT)
作者
R.L. Taylor; E.P. Kasper;
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作者单位

Civil Environmental Engineering University of California at Berkeley Berkeley, CA 94720-1710, USA;

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会议组织
原文格式 PDF
正文语种 eng
中图分类建筑科学;
关键词
mixed finite element methods; enhanced and mixed-enhanced assumed strains;

机译：混合有限元方法;增强和混合增强假定应变;

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专利

1. A mixed-enhanced formulation for tetrahedral finite elements [J] . Robert L. Taylor International Journal for Numerical Methods in Engineering . 2000,第1a3期

机译：四面体有限元的混合增强公式
2. Mixed-enhanced formulation for finite deformation axisymmetric-torsion [J] . E. P. Kasper, R. L. Taylor International Journal for Numerical Methods in Engineering . 2004,第1期

机译：有限变形轴对称扭转的混合增强公式
3. An analysis of some mixed-enhanced finite element for plane linear elasticity [J] . F. Auricchio, L. Beirao da Veiga, C. Lovadina, Computer Methods in Applied Mechanics and Engineering . 2005,第27a29期

机译：平面线性弹性的某些混合增强有限元分析
4. MIXED-ENHANCED FINITE ELEMENT FORMULATIONS [C] . R.L. Taylor, E.P. Kasper International conference on trends in computational structural mechanics . 2001

机译：混合增强有限元制剂
5. A stabilized mixed finite element formulation for finite strain deformation. [D] . Cisloiu, Roxana. 2006

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6. Material-Oriented Shape Functions for FGM Plate Finite Element Formulation [O] . Wojciech Gilewski, Jan Pełczyński 2020

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7. An atomic finite element model for biodegradable polymers. Part 1. Formulation of the finite elements [O] . Gleadall, Andrew, Pan, Jingzhe, Ding, Lifeng, 2015

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8. An Investigation of the Method of Finite Elements with Accuracy Comparisons to the Method of Finite Differences for Solution of the Transient Heat Conduction Equation Using Optimum Implicit Formulations. [R] . geneczko,joseph c. 1978

机译：用最优隐式公式求解瞬态热传导方程有限差分法精度有限元法的研究。

MIXED-ENHANCED FINITE ELEMENT FORMULATIONS

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