Effective Young's modulus estimation of concrete

A two-step analytical procedure is proposed to evaluate the quantitative influence of the maximum aggregate size and aggregate gradation on the effective Young's modulus of concrete. In the first step, the effective Young's modulus of a specified basic element, which is composed of an aggregate coated with interfacial transition zone and again covered with cement paste, is obtained based on a proposed four-phase sphere model. The theory of elasticity and Eshelby's equivalent medium theory are used to achieve the goal. In the second step, the rule of mixture method is used to estimate the effective Young's modulus of concrete. Following the two-step procedure, the maximum aggregate size and aggregate gradation are included in the formulations for the effective Young's modulus of concrete. The calculated results are compared with experimental results from the literature. The comparison results show a reasonable agreement when isostrain is assumed for every basic element in the second step. Parameters influencing the effective Young's modulus of concrete are discussed via calculated results.

[1]  K. Scrivener,et al.  The percolation of pore space in the cement paste/aggregate interfacial zone of concrete , 1996 .

[2]  Robert W. Zimmerman,et al.  INHOMOGENEOUS INTERFACIAL TRANSITION ZONE MODEL FOR THE BULK MODULUS OF MORTAR , 1997 .

[3]  Antonio Aguado,et al.  Estimation of the modulus of elasticity for dam concrete , 1998 .

[4]  J. D. Eshelby.  The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  W Heukelom,et al.  ROAD DESIGN AND DYNAMIC LOADING , 1964 .

[6]  R. Christensen,et al.  Solutions for effective shear properties in three phase sphere and cylinder models , 1979 .

[7]  Richard M. Christensen,et al.  A critical evaluation for a class of micro-mechanics models , 1990 .

[8]  S. Ahmed,et al.  A review of particulate reinforcement theories for polymer composites , 1990 .

[9]  C. C. Yang.  Effect of the Transition Zone on the Elastic Moduli of Mortar , 1998 .

[10]  Paulo J.M. Monteiro,et al.  Concrete: A three phase material , 1993 .

[11]  A. F. Stock,et al.  THE EFFECT OF AGGREGATE CONCENTRATION UPON THE STRENGTH AND MODULUS OF ELASTICITY OF CONCRETE , 1979 .

[12]  Shuaib H. Ahmad,et al.  Effect of transition zone on the elastic behavior of cement-based composites , 1995 .

[13]  Su-Seng Pang,et al.  Four-phase sphere modeling of effective bulk modulus of concrete , 1999 .

[14]  R. Gibson.  Principles of Composite Material Mechanics , 1994 .

[15]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[16]  F. D. Lydon,et al.  Effect of coarse aggregate on elastic modulus and compressive strength of high performance concrete , 1995 .

[17]  Ernest K. Schrader.  ROLLER-COMPACTED CONCRETE , 1977 .