Résumé
On représente par un modèle simple les caractéristiques de résistance et de déformation du béton soumis à une compression axiale, le fluage et la relaxation étant ainsi étudiés.
Summary
A simple model is developed to represent the strength and deformational characteristics of concrete when subjected to a rate of strain or rate of stress or creep or relaxation testing under uniaxial compression.
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Abbreviations
- a :
-
a constant
- C :
-
a constant
- e :
-
base of the Naperian logarithms
- F:
-
total force carried by N(x) elements
- f :
-
load taken by a single element
- f c :
-
stress in concrete at any strain ε
- f′ c :
-
ultimate strength of concrete determined in a two-minutes test under controlled strian-rate
- f i :
-
initial stress of the relaxation test
- f 0 :
-
maximum stress in the stress-strain curves of concrete tested under strain-rate control
- f rα :
-
stress remaining after complete relaxation
- k :
-
a constant
- N(X):
-
number of elements sharing the load under a strainx
- \(\bar N(x)\) :
-
number of elements that have failed under a strainx
- R:
-
reduction in strength at any instant in the strain-rate control test
- t :
-
time in minutes
- t 0 :
-
time in minutes to attain the strain ε 0
- x :
-
compressive strain, calculated on the basis of final length
- \(\bar x\) :
-
lateral strain of the model
- α:
-
rate of strain adopted in developing the sustained stress (strain) in the creep (relaxation) testing
- ε:
-
compressive strain in concrete
- ε cα :
-
limiting creep strain
- ε i :
-
instantaneous strain of the creep test
- ε0 :
-
strain in concrete corresponding to the maximum stress off 0
- ε y :
-
lateral strain (tensile) of concrete
- μ:
-
a constant
- τ:
-
ratio of the reduction in ultimate compressive strength when tested under any rate other than the standard (i.e. two-minutes test) tof′ c
- τ∞ :
-
factor giving reduction in strength due to sustained loading
- Φ1 (ε):
-
a function, Eq. (14b)
- Φ2 (t):
-
a function, Eq. (14c)
References
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Desayi, P. A model to similate the strength and deformation of concrete in compression. Mat. Constr. 1, 49–56 (1968). https://doi.org/10.1007/BF02478999
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DOI: https://doi.org/10.1007/BF02478999