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Verification of relationships between mechanical properties of concrete-like materials

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Abstract

It was proposed previously that a proper consideration of the concrete porosity can provide an improved method for the derivation of sound, reliable relationships between mechanical properties, such as strength and modulus of elasticity. The method of derivation is based on the differing effects of porosity in concrete on its mechanical properties. Several new formulas, such as equations 18) through 25) were derived from appropriate members of two groups of underlying equations: from equations 8) through 14), and equations 15) through 17). It is shown in figures 4 through 12 of this paper that the new formulas and, consequently, the outlined method of derivation are supported by experimental results despite the several simplifying assumptions applied. The fundamental advantage of the outlined method of derivation is that it is mathematical as compared to the empirical nature of the presently used methods.

Résumé

On avait précédemment établi qu'une étude congrue de la porosité du béton pouvait fournir une métnode améliorée d'obtention de relations sûres entre des propriétés mécaniques telles que la résistance et le module d'élasticité. Cette méthode d'obtention repose sur les effets dissemblables de la porosité du béton et sur ses propriétés mécaniques. A partir de deux groupes d'équations de base, de (8) à (14), et de (15) à (17), on a obtenu plusieurs relations nouvelles telles que les équatiens (18) à (25). On montre dans les figures 4 à 12 de cet article que ces nouvelles relations et par consèment la méthode d'essai exposée, sont corroborées par les résultats, malgré les diverses hypothèses simplificatrees dent on s'est servi. L'avantage fondamental de cette méthode est son caractère mathématique si on la compare aux méthodes empiriques utilisées.

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Abbreviations

f′ c :

compressive strength of concrete, psi (psi×0.006,895=N/mm2)

f′ c0 :

compressive strength in the «zero state», psi

f′ crel :

f′ c /f′ c0=relative compressive strength

f f :

flexural strength of concrete, psi

f f0 :

flexural strength of concrete in the «zero state», psi

f frel :

f f /f f0=relative flexural strength

f p f :

a quantity calculated asw 0.5 f′ 0.7 c

E p :

modulus of elasticity calculated from the pulse velocity, psi

E p0 :

pulse modulus of elasticity in the «zero state», psi

E r :

modulus of elasticity calculated from the resonance frequency, psi

E r0 :

resonance modulus of elasticity in the «zero state», psi

E r rel :

E r /E r0=relative resonance modulus of elasticity

Est :

static modulus of elasticity, psi

Est0 :

static modulus of elasticity in the «zero state», psi

E pst :

a quantity calculated as E 1.4w r

K (with various subscripts):

experimental parameters that are independent of the composition and age but may be dependent on the method of curing and testing

v :

porosity in the concrete, percent

V:

pulse velocity in concrete ft/sec (ft/sec×0.305=m/sec)

V0 :

pulse velocity in the «zero state», ft/sec

Vrel :

V/V0=relative pulse velocity

w :

unit weight of the hardened concrete specimen, lb/cu ft (lb/cu ft×16.02=kg/m3)

w 0 :

unit weight in the «zero state», lb/cu ft

«zero state»:

an initial state of porosity in concrete, for instance, when the porosity in the macroscopic sense is zero.

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Authors and Affiliations

  1. Northern Arizona University, Flagstaff, USA

    Sandor Popovics (Prof. and Research Coordinator of Engineering)

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  1. Sandor Popovics
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Popovics, S. Verification of relationships between mechanical properties of concrete-like materials. Mat. Constr. 8, 183–191 (1975). https://doi.org/10.1007/BF02475168

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