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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

Active Publication Date: 2018-12-18
CHINA THREE GORGES UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0009] Table 2 Model scope of application and main defects

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  • Concrete fractional order compressive strength model considering coupling effect of temperature and humidity
  • Concrete fractional order compressive strength model considering coupling effect of temperature and humidity
  • Concrete fractional order compressive strength model considering coupling effect of temperature and humidity

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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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Abstract

The invention provides a concrete fractional order compressive strength model considering a coupling effect of temperature and humidity. In the case of considering the age of the concrete, the expression of the concrete fractional order compressive strength model considering the coupling effect of temperature and humidity is obtained (as shown in the description); in the expression, [theta]([tau]<e>) is the concrete compressive strength, MPa; [tau]<e> is the equivalent age of the concrete, d; [theta]<0>, m and [beta] are parameters to be determined, and [beta] is greater than or equal to 0 andless than or equal to 1. The concrete fractional order compressive strength model considering the coupling effect of temperature and humidity can solve the problem that no concrete compressive strength model considering the coupling effect of temperature and humidity exists currently; and the invention fully reflects the relationship among concrete compressive strength and curing age and curing temperature and humidity, and has the advantages of less model parameters, high prediction accuracy and good adaptability.

Description

technical field [0001] The invention relates to the field of concrete compressive strength, in particular to a concrete fractional compressive strength model considering the coupling effect of temperature and humidity for predicting the development of mechanical properties of concrete compressive strength. Background technique [0002] The concrete test regulations stipulate that the temperature of the concrete standard curing room should be controlled at 20°C ± 5°C, and the humidity should be controlled at above 95%. At present, domestic calculation models for the mechanical properties of concrete are generally obtained based on the results of standard curing tests, without considering the effects of changes in curing temperature and humidity conditions on the mechanical properties of concrete. However, in actual engineering, the ambient temperature and humidity of concrete structures change dynamically. For example, the average temperature of the Three Gorges Project in su...

Claims

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Application Information

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IPC IPC(8): G01N3/08
CPCG01N3/08G01N2203/0019
Inventor 黄耀英周勇刘钰肖磊丁宇王嵛蔡忍袁斌
Owner CHINA THREE GORGES UNIV
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