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Numerical solution for the thermally insulated cracks in bonded dissimilar materials using hypersingular integral equations

机译：超周上整体方程的粘结异种材料中热绝缘裂缝的数值解

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摘要

The new system of hypersingular integral equations (HSIEs) for the thermally insulated inclined cracks and thermally insulated circular arc cracks subjected to remote shear stress in bonded dissimilar materials was formulated by using the modified complex potentials (MCPs) function method with the continuity conditions of the resultant force, displacement and heat conduction functions. This new system of HSIEs is derived from the elasticity problem and heat conduction problem by using crack opening displacement (COD) function and temperature jump along the crack faces. The appropriate quadrature formulas were used to solve numerically the new system of HSIEs for the unknown COD function and the known traction along the crack as the right hand term. Numerical solutions for the value of nondimensional stress intensity factors (SIFs) at all the cracks tips are illustrated. The comparison of nondimensional SIFs for the cracks with and without thermal is also illustrated.
机译：通过使用改进的复合电位（MCP）功能方法，配制了对粘结异种材料的远程剪切应力进行远程剪切应力的热绝缘倾斜裂缝和热绝缘圆弧裂纹的新系统通过使用改性的复合电位（MCP）功能方法，具有连续性条件得到的力，位移和导热功能。这种新的HSIE系统通过使用裂缝开口位移（COD）功能和沿着裂纹面跳跃来源的弹性问题和导热问题。适当的正交公式用于在数值上求解未知鳕鱼功能的新系统，以及沿着裂缝作为右手术语的已知牵引力。说明了所有裂缝提示的非尺寸应力强度因子（SIFS）值的数值解。还示出了对具有和不热的裂缝的非潜能SIFS的比较。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第3期|358-373|共16页
  • 作者

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

  • 作者单位

    Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia Melaka Hang Tuah Jaya Durian Tunggal Melaka 76100 Malaysia;

    Mathematics Department Faculty of Science Universiti Putra Malaysia Serdang Selangor 43400 Malaysia Laboratory of Computational Sciences and Mathematical Physics Institute for Mathematical Research Universiti Putra Malaysia Serdang Selangor 43400 Malaysia;

    Mathematics Department Faculty of Science Universiti Putra Malaysia Serdang Selangor 43400 Malaysia Laboratory of Computational Sciences and Mathematical Physics Institute for Mathematical Research Universiti Putra Malaysia Serdang Selangor 43400 Malaysia;

    Faculty of Ocean Engineering Technology and Informatics Universiti Malaysia Terengganu Kuala Terengganu 21030 Malaysia;

  • 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

    Stress intensity factor; Thermally insulated cracks; Bonded dissimilar materials; Hypersingular integral equation;

    机译：压力强度因子;热绝缘裂缝;保税异常材料;超周上整体方程;

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