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Novel mathematical approaches for analyzing time dependent creep deformations in reinforced metals

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Abstract

The objective of this paper is to present some novel insights for solving a second stage creep problem in metal matrix composites. First, a new analytical approach is developed for obtaining some unknowns in second stage creep of short fiber composites under an applied axial load. The unknowns are the radial, circumferential, axial, shear and equivalent stresses, which are determined by approximation of creep constitutive equations and using proper assumed displacement rates. A nonlinear differential equation is solved employing suitable and correct approximate assumptions. Then, the difference of the stress components utilizing creep constitutive equations and assumed displacement rates is determined. Finally, the axial stress behavior in matrix is predicted by linear and nonlinear boundary value approaches, as well as displacement rates in matrix. For the purpose of the analysis, the steady state creep behavior of matrix material is described by an exponential law. As an important application, factor of safety n will be determined for fibers in order to have a good composite design. Based on the results, the aforementioned methods such as general boundary value approaches can be used to simply determine the approximate behavior of unknowns. These analytical results are then verified by the results of FEM simulation and other available research works. Interestingly, good compatibilities are found among the original mathematical approaches, numerical modeling and also previous available results.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Vahid Monfared & Mehdi Mondali

  2. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran

    Ali Abedian

Authors
  1. Vahid Monfared
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  2. Mehdi Mondali
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  3. Ali Abedian
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Corresponding author

Correspondence to Mehdi Mondali.

Additional information

Recommended by Editor Jai Hak Park

Vahid Monfared received his M.Sc. in Mechanical Engineering from Sharif University of Technology, Tehran, Iran. He is currently a Ph.D student. His research interests are in composite materials, elasticity, plasticity, material behaviors and applied mathematics.

Mehdi Mondali received his B.Sc., M.Sc. and Ph.D. in Aerospace Engineering from Sharif University of Technology, Tehran, Iran. He is currently an assistant professor of aerospace engineering. His research interests are in composites, elasticity, material behaviors.

Ali Abedian is an associate professor of Aerospace Engineering at Sharif University of Technology (SUT), Tehran, Iran. He is working in the areas of composite materials and aging of metallic and composite structures.

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Monfared, V., Mondali, M. & Abedian, A. Novel mathematical approaches for analyzing time dependent creep deformations in reinforced metals. J Mech Sci Technol 27, 3277–3285 (2013). https://doi.org/10.1007/s12206-013-0850-z

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  • DOI: https://doi.org/10.1007/s12206-013-0850-z

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