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Theoretically based hydrostatic stress analysis in short fiber composites for second stage creep using Legendre polynomials by micromechanics model and golden functions

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Abstract

In this research work, hydrostatic stress behavior of creeping composite is predicted using Legendre polynomials (special functions), governing and basic equations, micromechanics model and golden functions. Prediction of the creep hydrostatic stress behavior is experimentally complicated and intricate and sometimes is impossible. Significant applications of the present model are in the fields of plasticity and elasticity analyses, nanocomposites, turbine blades and disks design. The present analytical method can prevent from difficulties arising from the experimental and finite element methods. Also, the regions under the creep rupture and debonding are predicted by finite element method. Finally, because of using the analytic, controller and golden functions, good and reasonable agreements are found among FEM, experimental method and present analytical method results.

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  1. Young Researchers and Elite Club, Zanjan Branch, Islamic Azad University, Zanjan, Iran

    Vahid Monfared

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Monfared, V. Theoretically based hydrostatic stress analysis in short fiber composites for second stage creep using Legendre polynomials by micromechanics model and golden functions. Arch Appl Mech 88, 2017–2030 (2018). https://doi.org/10.1007/s00419-018-1432-4

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  • DOI: https://doi.org/10.1007/s00419-018-1432-4

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