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A numerical model for calculation of stress intensity factors in particle-reinforced metal–matrix composites

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Abstract

A two-dimensional finite element model was developed to study effects of particle diameter, mechanical properties of the fiber and matrix materials and loading conditions (Mode 1 and Mixed-Mode). A theoretical model was proposed to calculate the stress intensity factor for an interface crack in Particle-Reinforced Metal–Matrix Composites. The displacement Correlation Method was used to calculate the stress intensity factors K 1 and K 2. In the present model the fiber and matrix materials were modeled in linear elastic conditions. The interface crack was considered between the fiber and matrix, without the presence of the interphase. Obtained results show that the key role on the stress intensity factors played by the relative elastic properties of the fiber and matrix. The results also show that K 1 and absolute K 2 values increase for both Mode 1 and mixed-mode loading condition once Young’s modulus of the fiber material increases. The values of K 1 and K 2 stress intensity factors decrease when the fiber volume fraction increases for Mode 1 loading.

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References

  • Aghdam, M.M., Falahatgar, S.R.: Micromechanical modeling of interface damage of metal matrix composites subjected to transverse loading. Compos. Struct. 66, 415–420 (2004)

    Article  Google Scholar 

  • Aslantas, K.: A different approach for calculation of stress intensity factors in continuous fiber reinforced metal matrix composites. Int. J. Solids Struct. 40, 7475–7481 (2003)

    Article  MATH  Google Scholar 

  • Aslantas, K., Tasgetiren, S.: Debonding between coating and substrate due to rolling–sliding contact. Mater. Des. 23, 571–576 (2002)

    Google Scholar 

  • Chan, S.K., Tuba, I.S., Wilson, W.K.: On the finite element method in linear fracture mechanics. Eng. Fract. Mech. 2, 1–17 (1970)

    Article  Google Scholar 

  • Chen, X., Liu, Y.: Multiple-cell modelling of fiber reinforced composites with the presence of interphases using the boundary element method. Comput. Mater. Sci. 21, 86–94 (2001)

    Article  Google Scholar 

  • Cisilino, A.P., Ortiz, J.E.: Three-dimensional boundary element assessment of a fiber/matrix interface crack under transverse loading. Comput. Struct. 83, 856–869 (2005)

    Article  Google Scholar 

  • Erdogan, F., Sih, G.C.: On the crack extension in plates under plane loading and transverse shear. J. Basic Eng. 85, 519–527 (1963)

    Google Scholar 

  • Jincheng, W., Gencang, Y.: The energy dissipation of particle-reinforced metal-matrix composite with ductile interphase. Mater. Sci. Eng. A 303, 77–81 (2001)

    Article  Google Scholar 

  • Ju, J.W., Lee, H.K.: A micromechanical damage model for effective elastoplastic behaviour of partially debonded ductile matrix composites. Int. J. Solids Struct. 38, 6307–6332 (2001)

    Article  MATH  Google Scholar 

  • Legarth, B.N., Kuroda, M.: Particle debonding using different yield criteria. Eur. J. Mech. A/Solids 23, 737–751 (2004)

    Article  MATH  Google Scholar 

  • Liu, Y.F., Kagawa, Y.: The energy release rate for an interfacial debond crack in a fiber pull-out model. Compos. Sci. Technol. 60, 167–171 (2000)

    Article  Google Scholar 

  • Liu, Y., Xu, N.: Modeling of interface cracks in fiber-reinforced composites with the presence of interphases using the boundary element method. Mech. Mater. 32, 769–783 (2000)

    Article  MathSciNet  Google Scholar 

  • Meguid, S.A., Shagal, G., Paskaramoorthy, R.: On the local elastic–plastic behaviour of the interface in titanium/silicon carbide composites. Composites: Part A 33, 1629–1640 (2002)

    Article  Google Scholar 

  • Meguid, S.A., Sun, Y.: On the tensile and shear strength of nano-reinforced composite interfaces. Mater. Des. 25, 289–296 (2004)

    Google Scholar 

  • Meguid, S.A., Zhao, X.: The interface crack problem of bonded piezoelectric and elastic half-space under transient electromechanical loads. J. Appl. Mech. 69(3), 244–253 (2002)

    Article  MATH  Google Scholar 

  • Mishnaevsky, L., Derrien, K., Baptiste, D.: Effect of microstructure of particle reinforced composites on the damage evolution: probabilistic and numerical analysis. Compos. Sci. Technol. 64, 1805–1818 (2004)

    Article  Google Scholar 

  • Rice, J.R.: Elastic fracture mechanics concepts for interfacial cracks. J. Appl. Mech. 55, 98–103 (1988)

    Article  Google Scholar 

  • Sun, L.Z., Ju, J.W., Liu, H.T.: Elastoplastic modelling of metal matrix composites with evolutionary particle debonding. Mech. Mater. 35, 559–569 (2003)

    Article  Google Scholar 

  • Tan, C.L., Gao, Y.L.: Treatment of bimaterial interface crack problems using the boundary element method. Eng. Fract. Mech. 36, 919–932 (1990)

    Article  Google Scholar 

  • Zhong, Z., Meguid, S.A.: On the eigenstrain problem of a spherical inclusion with an imperfectly bonded interface. ASME J. Appl. Mech. 63, 877–883 (1996)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Education, University of Afyon Kocatepe, Afyon, Turkey

    Kubilay Aslantaş & Suleyman Tasgetiren

  2. Department of Mechanical Engineering, University of Pamukkale, Denizli, Turkey

    Emin Ergun

Authors
  1. Kubilay Aslantaş
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  2. Emin Ergun
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  3. Suleyman Tasgetiren
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Correspondence to Kubilay Aslantaş.

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Aslantaş, K., Ergun, E. & Tasgetiren, S. A numerical model for calculation of stress intensity factors in particle-reinforced metal–matrix composites. Int J Mech Mater Des 3, 201–208 (2006). https://doi.org/10.1007/s10999-007-9023-5

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  • DOI: https://doi.org/10.1007/s10999-007-9023-5

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