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首页> 外文期刊>Applied Mathematical Modelling >Mathematical modelling and the study of the influence of initial stresses on the SIF and ERR at the crack tips in a plate-strip of orthotropic material
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Mathematical modelling and the study of the influence of initial stresses on the SIF and ERR at the crack tips in a plate-strip of orthotropic material

机译：正交异性材料板条裂纹尖端的初始应力对SIF和ERR的影响的数学建模和研究

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摘要

A plate-strip fabricated from the orthotropic material and containing a crack whose edges are parallel to the face planes of the plate is considered. It is assumed that the strip is stretched (or compressed) initially along the crack edges by uniformly distributed external normal forces acting on the simply supported ends of the plate-strip. After this initial stretching (or compression) the crack edges are loaded by additional uniformly distributed normal (opening) forces. As a result of the action of these additional forces the stress concentration characterized by the stress intensity factor (SIF) of mode I or by the energy release rate (ERR) of mixed mode arises at the crack tips. In this paper, the influence of the initial stresses on the SIF or ERR is modelled mathematically by the use of the three-dimensional linearized theory of elasticity. The aim of the present investigations is to study the effect of the mechanical-orthotropic properties of the plate-strip material on this influence by the use of the finite element method (FEM) modelling of the corresponding boundary-value problem.
机译：考虑一种由正交异性材料制成的板条，该板条的边缘平行于板的端面，且包含一条裂纹。假定首先通过作用在板带简单支撑端上的均匀分布的外法向力沿裂纹边缘拉伸（或压缩）钢带。在此初始拉伸（或压缩）之后，裂纹边缘将通过附加的均匀分布的法向（打开）力加载。由于这些附加力的作用，在裂纹尖端出现了以模式I的应力强度因子（SIF）或混合模式的能量释放速率（ERR）为特征的应力集中。在本文中，初始应力对SIF或ERR的影响是通过使用三维线性弹性理论在数学上建模的。本研究的目的是通过使用相应边界值问题的有限元方法（FEM）建模来研究带钢材料的正交各向异性特性对这种影响的影响。

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  • 来源
    《Applied Mathematical Modelling》 |2009年第9期|3682-3692|共11页
  • 作者

    S.D. Akbarov; A. Turan;

  • 作者单位

    Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus, 34349 Besiktas ,Istanbul, Turkey Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 370141 Baku, Azerbaijan;

    Yildiz Technical University, Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Davutpasa Campus No. 127,34210 Esenler, Istanbul, Turkey;

  • 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

    initial stresses; stress intensity factor; energy release rate; orthotropic material; crack;

    机译：初始压力;应力强度因子能量释放率;正交各向异性材料裂纹;

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