Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations

Hamzah K. B.; Long N. M. A. Nik; Senu N.; Eshkuvatov Z. K.

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Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations

机译：超周整数方程的粘结异常材料中多裂缝的应力强度因子

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This paper deals with the multiple inclined or circular arc cracks in the upper half of bonded dissimilar materials subjected to shear stress. Using the complex variable function method, and with the help of the continuity conditions of the traction and displacement, the problem is formulated into the hypersingular integral equation (HSIE) with the crack opening displacement function as the unknown and the tractions along the crack as the right term. The obtained HSIE are solved numerically by utilising the appropriate quadrature formulas. Numerical results for multiple inclined or circular arc cracks problems in the upper half of bonded dissimilar materials are presented. It is found that the nondimensional stress intensity factors at the crack tips strongly depends on the elastic constants ratio, crack geometries, the distance between each crack and the distance between the crack and boundary. (C) 2019 Elsevier Inc. All rights reserved.

机译：本文涉及粘结的不同材料的上半部分的多个倾斜或圆弧裂缝，经受剪切应力。使用复杂的变量函数方法，以及借助于牵引和位移的连续性条件，用裂缝开口位移函数作为未知和沿着裂缝的术后的裂缝打开位移函数配制到过度的整体方程（Hsie）中的问题。右词。通过利用适当的正交公式来计算所获得的HSIE。呈现了粘合不同材料的上半部分的多个倾斜或圆弧裂缝问题的数值结果。结果发现，裂缝尖端的非尺寸应力强度因子强烈取决于弹性常数比，裂缝几何形状，每个裂缝之间的距离和裂缝和边界之间的距离。（c）2019 Elsevier Inc.保留所有权利。

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来源
《Applied Mathematical Modelling》 |2019年第9期|95-108|共14页
作者
Hamzah K. B.; Long N. M. A. Nik; Senu N.; Eshkuvatov Z. K.;
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作者单位

Univ Putra Malaysia Inst Math Res Lab Computat Sci & Math Phys Serdang 43400 Selangor Malaysia|Univ Tekn Malaysia Melaka Fak Teknol Kejuruteraan Mekan & Pembuatan Durian Tunggal 76100 Melaka Malaysia;

Univ Putra Malaysia Inst Math Res Lab Computat Sci & Math Phys Serdang 43400 Selangor Malaysia|Univ Putra Malaysia Fac Sci Math Dept Serdang 43400 Selangor Malaysia;

Univ Putra Malaysia Inst Math Res Lab Computat Sci & Math Phys Serdang 43400 Selangor Malaysia|Univ Putra Malaysia Fac Sci Math Dept Serdang 43400 Selangor Malaysia;

Univ Sains Islam Malaysia Fac Sci & Technol Negeri Sembilan 71800 Malaysia;

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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
关键词
Multiple cracks; Dissimilar materials; Hypersingular integral equation; Stress intensity factors;

机译：多个裂缝;不同的材料;过度的整体方程;应力强度因子;

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1. Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations [J] . Hamzah K. B., Long N. M. A. Nik, Senu N., Applied Mathematical Modelling . 2019,第SEPa期

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4. Relation Between Stress Intensity Factor of a Small Edge Interface Crack and intensity of Free-Edge Stress Singularity of Bonded Dissimilar Materials [C] . Seiji IOKA, Shiro KUBO International Conference on Fracture and Strength of Solids . 2004

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5. Stress Intensity Factors and Effective Spring Stiffness for Interfaces with Two and Three Dimensional Cracks at the Interface between Two Dissimilar Materials. [D] . Lekesiz, Huseyin. 2011

机译：两种异种材料之间的界面处具有二维和三维裂纹的界面的应力强度因子和有效弹簧刚度。
6. Modified homotopy perturbation method for solving hypersingular integral equations of the first kind [O] . Z. K. Eshkuvatov, F. S. Zulkarnain, N. M. A. Nik Long, -1

机译：求解第一类超奇异积分方程的改进的同伦摄动方法
7. Stress Intensity Factors for Crack Problems in Bonded Dissimilar Materials [O] . Khairum Hamzah, Nik Mohd Asri Nik Long, Norazak Senu, 2020

机译：粘结异种材料裂纹问题的应力强度因子

Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations

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