Degree of restraint concept in analysis of early-age stresses in concrete walls

Abstract The degree of restraint is a useful concept for characterisation of early-age thermal–shrinkage stresses occurring in externally-restrained concrete elements such as walls. It can be used not only in manual calculations, but also in numerical analysis to determine the values and distribution of stresses in walls. The issues that must be addressed while defining the degree of restraint of the wall include the stiffness of the restraining body (e.g. foundation), translational and rotational restraints, influence of the construction sequence and support conditions. These issues are discussed in the paper. For the purpose of the study a numerical model is proposed which takes into account sequential casting and interaction between early-age structure and founding soil. The results of the study point out the factors that need be taken into account when modelling structural behaviour of early-age walls for proper determination of the expected stresses.

[1]  Jan Cervenka,et al.  Multiscale hydro-thermo-mechanical model for early-age and mature concrete structures , 2014, Adv. Eng. Softw..

[2]  Yanyong Xiang,et al.  Thermal–mechanical analysis of a newly cast concrete wall of a subway structure , 2005 .

[3]  Martin Nilsson,et al.  Simplified methods for crack risk analyses of early age concrete : Part 2: Restraint factors for typical case wall-on-slab , 2012 .

[4]  E. Rastrup,et al.  Heat of hydration in concrete , 1954 .

[5]  J. M. Duncan,et al.  Nonlinear Analysis of Stress and Strain in Soils , 1970 .

[6]  R. Bogue The chemistry of Portland cement , 1947 .

[7]  S. Majewski,et al.  MWW3 - elasto-plastic model for concrete , 2004 .

[8]  J. Zreiki,et al.  Early-age behaviour of concrete in massive structures, experimentation and modelling , 2010 .

[9]  Mårten Larson,et al.  Thermal crack estimation in early age concrete : models and methods for practical application , 2003 .

[10]  P. Marsh,et al.  Modelling the spatial pattern of ground thaw in a small basin in the arctic tundra , 2011 .

[11]  B. Klemczak Prediction of Coupled Heat and Moisture Transfer in Early-Age Massive Concrete Structures , 2011 .

[12]  A. Neville Properties of Concrete , 1968 .

[13]  Chanakya Arya,et al.  Buckling resistance of unstiffened webs , 2009 .

[14]  Brahim Benmokrane,et al.  BOND STRENGTH AND LOAD DISTRIBUTION OF COMPOSITE GFRP REINFORCING BARS IN CONCRETE , 1996 .

[15]  Martin Nilsson,et al.  Simplified methods for crack risk analyses of early age concrete : Part 1: Development of Equivalent Restraint Method , 2012 .

[16]  A. Knoppik-Wróbel Cracking due to restraint stresses in early-age radiation shielding wall , 2014 .

[17]  B. Klemczak,et al.  Early age thermal and shrinkage cracks in concrete structures - influence of geometry and dimensions of a structure , 2011 .

[18]  Farid Benboudjema,et al.  Early-age behaviour of concrete nuclear containments , 2008 .

[19]  Andrzej Seruga,et al.  Research on Thermal Cracking of a Rectangular RC Tank Wall under Construction. I: Case Study , 2016 .

[20]  G. Hornberger,et al.  Empirical equations for some soil hydraulic properties , 1978 .

[21]  Jean-Michel Torrenti,et al.  Stresses in Early-Age Concrete: Comparison of DifferentCreep Models , 1996 .

[22]  B. Klemczak,et al.  Early age thermal and shrinkage cracks in concrete structures - description of the problem , 2011 .

[23]  E. Youngs,et al.  Fundamentals of Soil Physics. , 1982 .

[24]  B. Klemczak,et al.  Comparison of Analytical Methods for Estimation of Early-Age Thermal-Shrinkage Stresses in RC Walls , 2013 .

[25]  B. Klemczak Modeling thermal-shrinkage stresses in early age massive concrete structures – Comparative study of basic models , 2014 .

[26]  S. Majewski,et al.  MWW3 model for concrete - adjustment of failure and yield surfaces for use in computational fem system Mafem3D , 2009 .

[27]  B. Klemczak,et al.  Reinforced concrete tank walls and bridge abutments: Early-age behaviour, analytic approaches and numerical models , 2015 .

[28]  F. Cussigh,et al.  Using the maturity method in concrete cracking control at early ages , 2004 .

[29]  Hyo-Gyoung Kwak,et al.  Non-Structural Cracking in RC Walls: Part II. Quantitative Prediction Model , 2006 .

[30]  Barbara Klemczak,et al.  Adapting of the Willam-Warnke failure criteria for young concrete , 2007 .

[31]  B. Klemczak,et al.  Analysis of Early-Age Thermal and Shrinkage Stresses in Reinforced Concrete Walls (with Appendix) , 2014 .

[32]  K. Folliard,et al.  Heat of Hydration Models for Cementitious Materials , 2005 .

[33]  Martin Nilsson,et al.  Restraint factors and partial coefficients for crack risk analyses of early age concrete structures , 2003 .

[34]  J. R. Philip,et al.  Moisture movement in porous materials under temperature gradients , 1957 .

[35]  D. Vries Thermal properties of soils , 1963 .