A Concrete Fatigue Deformation Evolution Model Based on Weibull Equation
A fatigue deformation and concrete technology, applied in design optimization/simulation, CAD numerical modeling, instruments, etc., can solve the problems of complex model form and difficulty in popularization and application, and achieve the goal of reducing calculation amount, simplifying testing equipment, and concise expression Effect
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Embodiment 1
[0023] This example uses the literature "Holmen J o.fatigue of concrete by constant andvariable amplitude loading" [j] .aci special publication, 1982, 75: 71-110. "Fig.11" concrete compression fatigue sample D22 fatigue Deformation results. The maximum deformed ε of the sample under the action of compressed fatigue loading s , Residual deformation ε p Evolution law figure 1 Indicated. It should be noted that the maximum deformed ε of the fatigue sample s Directly obtained from the literature, residual deformation ε p Calculated from the fatigue deformation result from the literature.
[0024] according to figure 1 The maximum deformed ε shown s The experimental value, by fitting, location parameters ε can be obtained s0 = 0.09582, proportional parameter λ s = 0.11497, shape parameter k s = 3.16309. Thereby, the following fatigue deformation evolution model can be obtained:
[0025] N / N f = 1-exp (- (ε) s -0.09582) / 0.11497) 3.16309 ), (r 2 = 0.9971)
[0026] according to figure...
Embodiment 2
[0030] This example uses the literature "CHEN X, Bu J, FAN X, et al.effect of loading frequency stress level limited, custom ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,) "Fig.8C" concrete stretched fatigue sample S = 0.85 Test Data fatigue deformation results. The maximum deformed ε under the action of stretching fatigue loading s , Residual deformation ε p Evolution law figure 2 Indicated. It should be noted that the maximum deformed ε of the fatigue sample s And residual deformation ε p All are obtained directly from the literature.
[0031] according to figure 2 The maximum deformed ε shown s The experimental value, by fitting, location parameters ε can be obtained s0 = 38.21874, proportional parameter λs = 66.41625, shape parameter K s = 11.44255. Thereby, the following fatigue deformation evolution model can be obtained:
[0032] N / N f = 1-exp (- (ε) s -38.21874 / 66.41625) 11.44255 ), (r 2 = 0.9769)
[0033] according to figure 2 The residual defor...
Embodiment 3
[0037] This embodiment employs document "Liu W, Xu S, Li H.Flexural fatigue damage model ofultra-high toughness cementitious composites on base of continuum damagemechanics [J] .International Journal of Damage Mechanics, 2014,23 (7): 949-963 "Fig.3a" fiber concrete curved fatigue sample S0.80 fatigue deformation results. The maximum deformed ε of the sample under bending fatigue load s , Residual deformation ε p Evolution law image 3 Indicated. It should be noted that the maximum deformed ε of the fatigue sample s Directly obtained from the literature, residual deformation ε p Calculated from the fatigue deformation result from the literature.
[0038] according to image 3 The maximum deformed ε shown s The experimental value, by fitting, location parameters ε can be obtained s0 = -2.27807, proportional parameter λ s = 4.85335, shape parameter K s = 9.28728. Thereby, the following fatigue deformation evolution model can be obtained:
[0039] N / N f = 1-exp (- (ε) s +2.27807) / 4.8...
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