American Journal of Applied Mathematics

Volume 12, Issue 3, June 2024

  • Research Article

    Modeling of the Complexity Propagation of Crack in a Ductile Material Under Complex Solicitation in Crack Tip: Introduction of a Matrix of Stress Intensity Factors of Bifurcation

    Pierre Marie Wakeu Pola*, Guy Edgar Ntamack, Fabien Kenmogne, Joseph Yves Jeff Effa, Stephane Tchuente

    Issue: Volume 12, Issue 3, June 2024
    Pages: 50-58
    Received: 28 February 2024
    Accepted: 27 March 2024
    Published: 17 May 2024
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    Abstract: In fracture and damage mechanics, modeling of crack propagation has always been a source of difficulties. Numerous works have been carried out on this case at the crack tip, introducing new parameters: the Stress Intensity Factor (K); which is the local Irwin parameter, and also the Rice integral (J), the Griffith's energizing method, in which J an... Show More
  • Research Article

    Evaluation of the Shortest Route Possible in Distribution of Fish Product in Western Kenya Region

    Vollince Kargung’s, Cleophas Kweyu, Titus Rotich*

    Issue: Volume 12, Issue 3, June 2024
    Pages: 59-65
    Received: 7 March 2024
    Accepted: 25 March 2024
    Published: 17 May 2024
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    Abstract: This comprehensive study delves deeply into the intricate process of optimizing fish product distribution routes in the expansive Western Kenya region, with an explicit focus on understanding and refining the operational strategies employed by Victory Farm Limited. Leveraging the Hungarian Method, celebrated for its unparalleled effectiveness in th... Show More
  • Research Article

    Lagrange Interpolation in Matrix Form for Numerical Differentiation and Integration

    Rui Wang*, Binh-Le Ly, Wei-Chau Xie, Mahesh Pandey

    Issue: Volume 12, Issue 3, June 2024
    Pages: 66-78
    Received: 15 April 2024
    Accepted: 6 May 2024
    Published: 19 June 2024
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    Abstract: Numerical differentiation has been widely applied in engineering practice due to its remarkable simplicity in the approximation of derivatives. Existing formulas rely on only three-point interpolation to compute derivatives when dealing with irregular sampling intervals. However, it is widely recognized that employing five-point interpolation yield... Show More