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首页> 外文期刊>Applied Mathematical Modelling >A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
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A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures

机译：包含机械降解的粘弹性粘塑性本构模型：有限应变下的单轴瞬态有限元公式化及其在空间桁架结构中的应用

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摘要

This article presents a one-dimensional finite element formulation for the transient analysis of geometrically nonlinear trusses associated to viscoelastic viscoplastic materials including mechanical degradation. The proposed formulation aims at problems involving inertial loads and high strain rate deformations, and accounts for velocities, accelerations and rate-dependent effects. The kinematic description adopts an updated Lagrangian approach, whereas the dynamic equilibrium equations are solved using the Newmark algorithm coupled to an incremental-iterative Newton-Raphson procedure. The viscoelastic and viscoplastic behaviors are accounted for the generalized Kelvin-Voigt and Perzyna models, and material degradation is considered using Continuum Damage Mechanics. The evolution equations are integrated using an implicit scheme, including derivation of the analytical tangent stiffness and algorithmic material tangent operator. Numerical examples illustrate application of the proposed formulation to the analysis of polymeric truss structures undergoing snap-through.
机译：本文提出了一种一维有限元公式，用于瞬态分析与包括机械降解在内的粘弹性粘塑性材料相关的几何非线性桁架。所提出的公式针对的是涉及惯性载荷和高应变率变形的问题，并考虑了速度，加速度和与速率有关的影响。运动学描述采用了更新的拉格朗日方法，而动态平衡方程是使用结合增量迭代牛顿-拉夫森程序的纽马克算法求解的。粘弹性和粘塑性行为被解释为广义的Kelvin-Voigt和Perzyna模型，并且使用连续损伤力学考虑了材料降解。使用隐式方案集成了演化方程，包括解析切线刚度的推导和算法材料切线算符。数值示例说明了所提出的配方在经历搭接的聚合物桁架结构分析中的应用。

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  • 来源
    《Applied Mathematical Modelling》 |2015年第6期|1725-1739|共15页
  • 作者

    T.A. Carniel; P.A. Munoz-Rojas; M. Vaz Jr.;

  • 作者单位

    Department of Mechanical Engineering, State University of Santa Catarina, Campus Universitario, 89219-710 Joinville, Brazil;

    Department of Mechanical Engineering, State University of Santa Catarina, Campus Universitario, 89219-710 Joinville, Brazil;

    Department of Mechanical Engineering, State University of Santa Catarina, Campus Universitario, 89219-710 Joinville, Brazil;

  • 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

    Viscoelasticity; Viscoplasticity; Damage; Nonlinear transient analysis;

    机译：粘弹性;粘塑性;损伤;非线性瞬态分析;

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