【摘要】：基于分?jǐn)?shù)階導(dǎo)數(shù)理論,建立了冪函數(shù)經(jīng)驗(yàn)蠕變模型與分?jǐn)?shù)階導(dǎo)數(shù)Abel黏壺蠕變模型之間的關(guān)系,明確了冪函數(shù)各參數(shù)的物理意義.引入Weibull分布函數(shù)構(gòu)建了新的分?jǐn)?shù)階導(dǎo)數(shù)冪函數(shù)經(jīng)驗(yàn)黏彈性損傷蠕變模型.通過對(duì)粉膠比分別為0.82、1.02、1.22和1.42的瀝青膠漿進(jìn)行在-6℃、-12℃和-18℃溫度條件下的彎曲梁流變?cè)囼?yàn),對(duì)新的損傷蠕變模型參數(shù)進(jìn)行了辯識(shí)與比較分析.結(jié)果表明:新構(gòu)建的分?jǐn)?shù)階導(dǎo)數(shù)冪函數(shù)經(jīng)驗(yàn)黏彈性損傷蠕變模型能夠更加精確地描述瀝青膠漿在低溫條件下的彎曲蠕變勁度曲線.
[Abstract]:Based on the theory of fractional derivative, the relationship between the empirical creep model of power function and the creep model of fractional derivative Abel viscous pot is established, and the physical meaning of each parameter of power function is clarified. A new empirical Viscoelastic damage creep model with fractional derivative power function is constructed by introducing Weibull distribution function. The parameters of the new damage creep model were identified and compared by means of the Rheological tests of the curved beams with powder ratios of 0.82, 1.02, 1.22 and 1.42 at-6 鈩，

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