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Longitudinal Fracture Analysis of Inhomogeneous Beams with a Continuously Varying Height

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Strength of Materials Aims and scope

Longitudinal fracture behavior of nonlinear elastic inhomogeneous beam configurations with a continuously varying height along its length is analyzed. The general solution of the strain energy release rate problem is obtained by considering the energy balance. Beam configurations with the longitudinal crack located arbitrarily along the height are analyzed. The beams exhibit smooth material inhomogeneity in the height direction. The solution derived is valid within the arbitrary law of continuous beam height variations. Longitudinal fracture in a simply supported nonlinear elastic inhomogeneous beam with a height that varies in a parabolic law is investigated by applying the general solution of the strain energy release rate problem. The J-integral approach is used to verify this solution. The effect of various geometrical and material parameters on the longitudinal fracture of the simply supported beam configuration is evaluated and discussed in detail.

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References

  1. A. Mortensen and S. Suresh, “Functionally graded metals and metal-ceramic composites: Part 1 Processing,” Int. Mater. Rev., 40, No. 6, 239–265 (1995).

    Article  CAS  Google Scholar 

  2. S. Suresh and A. Mortensen, Fundamentals of Functionally Graded Materials, IOM Communications Ltd, London (1998).

    Google Scholar 

  3. T. Hirai and L. Chen, “Recent and prospective development of functionally graded materials in Japan,” Mater. Sci. Forum, 308–311, 509–514 (1999).

    Article  Google Scholar 

  4. M. M. Gasik, “Functionally graded materials: bulk processing techniques,” Int. J. Mater. Prod. Tec., 39, No. 1, 20–29 (2010).

    Article  CAS  Google Scholar 

  5. M. M. Nemat-Allal, M. H. Ata, M. R. Bayoumi, and W. Khair-Eldeen, “Powder metallurgical fabrication and microstructural investigations of aluminum/steel functionally graded material,” Mater. Sci. Appl., 2, No. 12, 1708–1718 (2011).

    Google Scholar 

  6. S. K. Bohidar, R. Sharma, and P. R. Mishra, “Functionally graded materials: A critical review,” Int. J. Res., 1, No. 7, 289–301 (2014).

    Google Scholar 

  7. V. I. Rizov, “Fracture analysis of a three-dimensional functionally graded multilayered beam,” Strength Mater., 50, No. 3, 432–442 (2018).

    Article  Google Scholar 

  8. V. I. Rizov, “Delamination of multilayered functionally graded beams with material nonlinearity,” Int. J. Struct. Stab. Dy., 18, No. 04, 185–193 (2018).

    Article  Google Scholar 

  9. V. I. Rizov, “Non-linear elastic analysis of delamination in two-dimensional functionally graded multilayered beams,” Strength Fract. Complex., 11, No. 4, 319–335 (2018), https://doi.org/10.3233/SFC-180233.

    Article  Google Scholar 

  10. M. Kishkilov and R. Apostolov, Introduction in Theory of Plasticity, UACEG, Sofia (1984).

    Google Scholar 

  11. D. Broek, Elementary Engineering Fracture Mechanics, Springer (1986).

    Book  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria

    V. I. Rizov

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  1. V. I. Rizov
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Correspondence to V. I. Rizov.

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Translated from Problemy Prochnosti, No. 1, pp. 16 – 27, January – February, 2021.

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Rizov, V.I. Longitudinal Fracture Analysis of Inhomogeneous Beams with a Continuously Varying Height. Strength Mater 53, 11–22 (2021). https://doi.org/10.1007/s11223-021-00256-4

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  • DOI: https://doi.org/10.1007/s11223-021-00256-4

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