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

Monfared, V ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-013-0850-z
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. FEM ; Mathematical approaches ; Metal matrix composites ; Second stage creep ; Analytical approach ; Analytical results ; Assumed displacements ; Creep constitutive equations ; Mathematical approach ; Nonlinear differential equation ; Short fiber composites ; Time-dependent creeps ; Constitutive equations ; Differential equations ; Finite element method ; Metallic matrix composites ; Safety factor ; Creep
  8. Source: Journal of Mechanical Science and Technology ; Volume 27, Issue 11 , 2013 , Pages 3277-3285 ; 1738494X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs12206-013-0850-z