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مجله بین المللی جامدات و سازه ها
جزئیات رویداد
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  • analysis and finite element simulations of the near-tip singular fields around a mode-3 stationary crack in plastically graded materials

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    • تاریخ ارائه: 1392/01/01
    • تاریخ انتشار در تی پی بین: 1392/01/01
    • تعداد بازدید: 835
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     the near-tip variable-separable singular series solution around a stationary crack embedded in plastically graded materials is derived and complementary modified-boundary-layer finite element simulations are performed. the stationary crack is subjected to an anti-plane shear (mode-3 or torsion) loading and the material nonlinearity is characterized by a power-law hardening model. the spatial variation of the material property (yield-stress) is allowed to be in any arbitrary direction around the crack and is characterized by another power-law form. the complementary modified-boundary-layer finite element simulations are performed using the newly developed nonlinear multiple-isoparametric finite element formulation. our full-field finite element simulations validate the existence of the variable-separable form of solution. our analysis and simulations predict that the most-singular term in the series solution remains unaffected by the inhomogeneity and its direction. the second-singular term of the series solution is however affected by the inhomogeneity and its direction. the second-term dominant region depends on the directionality of the inhomogeneity and is maximum for the x-gradation and minimum for the y-gradation. the contribution of the second-term is significant and hence a two-term based fracture mechanics methodology is required in designs using plastically graded materials.

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