A fuzzy-probabilistic durability concept for strain-hardening cement-based composites (SHCCs) exposed to chlorides: Part 1: Concept development

Abstract Strain-hardening cement-based composites (SHCCs) are high-performance fibre-reinforced composites characterised by their high ductility under tensile load. To utilise their advantageous properties fully, a performance-based durability concept is required. Probabilistic approaches developed for crack-free ordinary concrete provide a rational basis for this. However, the approaches currently available require extension due to a lack of data required to quantify the input variables and the need to adapt the underlying analytical formulas describing chloride ingress. These formulas need to account for material-specific conditions and resultant behaviour, such as multiple cracking in the case of SHCC. In this first part of a two-part treatise, a fuzzy-probabilistic concept to assess the durability of SHCC exposed to chlorides is presented. The analytical solution for chloride ingress used in the DuraCrete approach has been adapted to allow for a mathematically correct description of the influence of aging and to reflect clearly the contribution of cracks to chloride ingress. Furthermore, the considerable non-stochastic uncertainty associated with most variables in a new material is accounted for with the help of fuzzy-probability theory. In the second part, the durability of a SHCC member exposed to a marine environment will be assessed using this new concept.

[1]  T. Luping,et al.  On the mathematics of time-dependent apparent chloride diffusion coefficient in concrete , 2007 .

[2]  Mda Thomas,et al.  TESTING THE CHLORIDE PENETRATION RESISTANCE OF CONCRETE: A LITERATURE REVIEW , 1997 .

[3]  Cur MODELLING OF DEGRADATION , 1998 .

[4]  Cur STATISTICAL QUANTIFICATION OF THE VARIABLES IN THE LIMIT STATE FUNCTIONS , 2000 .

[5]  Viktor Mechtcherine,et al.  Towards a durability framework for structural elements and structures made of or strengthened with high-performance fibre-reinforced composites , 2012 .

[6]  Folker H. Wittmann,et al.  Durability of Strain-Hardening Fibre-Reinforced Cement-Based Composites (SHCC) , 2011 .

[7]  Heinrich Rommelfanger,et al.  Fuzzy Decision Support-Systeme , 1994 .

[8]  Durability of Structural Elements and Structures , 2011 .

[9]  B. Gérard,et al.  Influence of cracking on the diffusion properties of cement-based materials : Part I : Influence of continuous cracks on the steady-state regime , 2000 .

[10]  Jon C. Helton,et al.  Survey of sampling-based methods for uncertainty and sensitivity analysis , 2006, Reliab. Eng. Syst. Saf..

[11]  Stéphanie Bonnet,et al.  Influence of traversing crack on chloride diffusion into concrete , 2008 .

[12]  W. Boshoff,et al.  Characterisation of crack distribution of Strain-Hardening Cement Composites (SHCC) under imposed strain , 2010 .

[13]  W. Graf,et al.  Fuzzy structural analysis using α-level optimization , 2000 .

[14]  Etienne E. Kerre,et al.  Defuzzification: criteria and classification , 1999, Fuzzy Sets Syst..

[15]  V. Mechtcherine,et al.  A novel durability design approach for new cementitious materials: Modelling chloride ingress in strain-hardening cement-based composites , 2008 .

[16]  Viktor Mechtcherine,et al.  Permeation of water and gases through cracked textile reinforced concrete , 2011 .

[17]  M. Beer,et al.  Engineering computation under uncertainty - Capabilities of non-traditional models , 2008 .

[18]  V. Li On Engineered Cementitious Composites (ECC) , 2003 .