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- W2771824211 abstract "Abstract The method's steps to estimate the Weibull shape ( β ) and scale ( η ) parameters, based only on the ratio of the maximal and minimal principal stresses ( σ 1 / σ 2 ) and on the designed reliability ( R ( t )) are given in Section 4.1 . The method's efficiency is based on the following facts: (1) The square root of σ 1 / σ 2 represents the base life on which the Weibull lifetimes are estimated (see Equation ). (2) The mean of the logarithms of the expected lifetimes ( g ( x )) is completely determined by the determinant of the analyzed stress matrix (see Equation ). (3) The Weibull distribution is a circle centered on the arithmetic mean ( μ ), and it covers the whole principal stresses' span (see Figure ). (4) σ 1 / σ 2 and g ( x ) completely determine the σ 1 i and σ 2 i values, which correspond to any lifetime in the Weibull analysis (see Equation ). And (5) σ 1 / σ 2 and η completely determine the minimal and maximal lifetime, which corresponds to any σ 1 i and σ 2 i values (see Equation ). Additionally, by using the addressed stress β and η parameters, when the stress is either constant or variable, the formulation to estimate the designed R ( t ) index is given. The steps to determine both the material's strength average ( μ M ) for a desired R ( t ) index and the R ( t ) index, which corresponds to a used μ M value, are given." @default.
- W2771824211 created "2017-12-22" @default.
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- W2771824211 date "2017-12-17" @default.
- W2771824211 modified "2023-10-02" @default.
- W2771824211 title "Weibull stress distribution for static mechanical stress and its stress/strength analysis" @default.
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- W2771824211 doi "https://doi.org/10.1002/qre.2251" @default.
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