A Mixed Boundary Value Problem for a Finite Isotropic Wedge Under Antiplane Deformation

Authors

  • Bright Adinchezo Adimoha Abia State University, Uturu, Abia State, Nigeria.
  • James Nwawuike Nnadi Abia State University, Uturu, Abia State, Nigeria.
  • Bright Okore Osu Abia State University, Uturu, Abia State, Nigeria.
  • Franca Amaka Nwafor Gregory University, Uturu, Nigeria

Keywords:

Antiplane Deformation, Mixed Boundary, Mellin Transform, Stress Singularity, Stress Intensity Factor

Abstract

Communication in Physical Sciences, 2024, 11(4): 928 - 935

Authors: Bright Adinchezo Adimoha, James Nwawuike Nnadi, Bright Okore Osu and Franca Amaka Nwafor

Received: 19 July 2024/Accepted: 20 October 2024

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Author Biographies

Bright Adinchezo Adimoha , Abia State University, Uturu, Abia State, Nigeria.

Department of Mathematics

James Nwawuike Nnadi, Abia State University, Uturu, Abia State, Nigeria.

Department of Mathematics

Bright Okore Osu, Abia State University, Uturu, Abia State, Nigeria.

Department of Mathematics

Franca Amaka Nwafor, Gregory University, Uturu, Nigeria

Department of Mathematics

References

Adimoha, B. A., Nnadi, J. N., Emenogu, G. N., & Osu, B. O. (2024). On the analysis of the displacements in a finite isotropic wedge under antiplane shear deformation. International Journal of Computer Science and Mathematical Theory (IJCSMT), 10(6). (Accepted for publication). E-ISSN: 2545-5699, P-ISSN: 2695-1924. DOI: 10.56201/IJCSMT.

Chen, C. H., Wang, C. L., & Ke, C. C. (2009). Analysis of composite finite wedges under antiplane shear. International Journal of Mechanical Sciences, 51, pp. 583-597.

Kargarnovin, M. H., Shahani, A. R., & Fariborz, S. J. (1997). Analysis of an isotropic finite wedge under antiplane deformation. International Journal of Solids and Structures, 37, 1, pp. 113-128.

Lin, J., & Ma, W. (2004). Theoretical full–field analysis of dissimilar isotropic composite annular wedges under antiplane deformations. International Journal of Solids and Structures, 41, pp. 6041-6080.

Shahani, A. R. (2005). Some problems in the antiplane shear deformation of bi-material wedges. International Journal of Solids and Structures, 42, pp. 3093-3113.

Shahani, A. R., & Ghadiri, M. (2009). Analysis of bonded finite wedges with an interfacial crack under antiplane shear loading. Journal of Mechanical Engineering Sciences, 223(Part C), 2213-2223. Proceedings of the Institute of Mechanical Engineering.

Tranter, C. J. (1948). The use of Mellin transform in finding the stress distribution in an infinite wedge. Quarterly Journal of Mechanics and Applied Mathematics, 1, 125-130.

Published

2024-10-06