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An efficient three-field mixed finite element model for the linear analysis of composite beams with deformable shear connection

机译：一个有效的三场混合有限元模型，用于可变形剪力连接的组合梁的线性分析

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摘要

In this paper, we develop a new and efficient finite element for the linear static analysis of composite beams with deformable shear connection. We adopt a 3-field mixed approach, based on the Hu-Washizu principle, combined with the enhanced strain concept. Our proposal includes the possibility of systematically choosing interpolating functions of increasing order for certain generalized stresses and for the enhanced strains. Another distinctive feature of our approach is the fact that only three generalized stresses are directly approximated. As in many mixed formulations, the degrees of freedom associated with the approximation of generalized stresses and enhanced strains can be condensed out at the element level at negligible cost, leading to discrete systems involving only the displacement degrees of freedom. For benchmarking purposes, a conventional displacement-based conforming finite element is also briefly derived. Several illustrative examples demonstrate the mixed element's ability to perform very well on the coarsest of meshes - often consisting of a single finite element -, even when the material data exhibits a jump discontinuity in its interior, in sharp contrast with the displacement-based conforming element. This is particularly true when it comes to the estimation of generalized stresses, often the variables of most interest to designers.
机译：在本文中，我们开发了一种新型有效的有限元，用于可变形剪力连接的组合梁的线性静力分析。我们采用基于Hu-Washizu原理的三场混合方法，并结合了增强应变概念。我们的建议包括针对某些广义应力和增强应变系统地选择升序插值函数的可能性。我们的方法的另一个显着特点是，只有三个广义应力可以直接近似。与许多混合公式一样，与广义应力和增强应变近似相关的自由度可以在单元级别以可忽略的成本浓缩出来，从而导致仅包含位移自由度的离散系统。为了进行基准测试，还简要介绍了基于位移的常规有限元。几个说明性示例说明了混合元素在最粗糙的网格（通常由单个有限元素组成）上表现出色的能力，即使材料数据在其内部表现出跳跃不连续性，也与基于位移的贴合元素形成鲜明对比。当涉及到广义应力的估计时，尤其如此，通常是设计人员最感兴趣的变量。

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  • 来源
    《Composite Structures》 |2018年第5期|190-201|共12页
  • 作者

    Ferreira Miguel; Andrade Ansio; Providencia Paulo; Cabrera Fabian;

  • 作者单位

    Univ Lisbon, Inst Super Tecn, CERIS, P-1049001 Lisbon, Portugal;

    Univ Coimbra, Civil Engn Dept, INESC Coimbra, P-3030788 Coimbra, Portugal;

    Univ Coimbra, Civil Engn Dept, INESC Coimbra, P-3030788 Coimbra, Portugal;

    Univ Coimbra, Civil Engn Dept, INESC Coimbra, P-3030788 Coimbra, Portugal;

  • 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

    Composite beams; Three-field mixed elements;

    机译：组合梁;三场混合单元;

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