Concrete fractional order compressive strength model considering coupling effect of temperature and humidity
A technique for compressive strength, concrete, applied in the direction of testing material strength, strength properties, analyzing materials, etc. using applied stable tension/compression
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Embodiment 1
[0086] A concrete fractional-order compressive strength model considering the coupling effect of temperature and humidity,
[0087] According to the Riemann-Liouville type fractional calculus operator theory, the expression of the compressive strength model based on fractional calculus is established as
[0088]
[0089] In the formula: θ(τ) is the concrete compressive strength, MPa; τ is the concrete curing age, d; θ 0 , m, and β are parameters to be determined, and 0≤β≤1; n represents the number of expansion items of the series, and is an integer; ∞ is infinite; Γ[] is the gamma function; Σ is the sum of the series.
[0090] In the case of considering the age of concrete, combined with formula (1), the expression of the fractional compressive strength model of concrete considering the coupling effect of temperature and humidity is obtained as
[0091]
[0092] Where: θ(τ e ) is the concrete compressive strength, MPa; τ e is the equivalent age of concrete, d; θ 0 , m,...
Embodiment 2
[0134] The model instance analysis of above-mentioned embodiment one is as follows:
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