Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches

In this paper, comparative assessment of failure fatigue lives of thin laminated cementitious composites (LCCs) modeled by two modeling approaches—double-parameter Weibull distribution model and triple-parameter distribution model—was carried out. LCCs were fabricated of ordinary Portland cement (OPC), fly ash cenosphere (FAC), quartz sand, and reinforcing meshes and fibers. The failure fatigue life assessment at various probabilities by the two-parameter model was based on numerical calculations whereas the three-parameter model was applied by an open source program—ProFatigue®. Respective parameters, shape and scale parameters in the two-parameter Weibull distribution model while shape, scale, and location parameters in three-parameter model were determined, and the corresponding probabilistic fatigue lives at various failure probabilities were calculated. It is concluded that the two-parameter model is more accurate in probabilistic fatigue life assessment of double-layer mesh-reinforced LCCs, whereas for single-layer reinforced LCCs, both models could be used at a fair confidence level.

[1]  P. Pimienta,et al.  Fatigue Flexural Behavior of Pre-cracked Specimens of Special UHPFRC , 2005 .

[2]  Zongjin Li,et al.  Green lightweight ferrocement incorporating fly ash cenosphere based fibrous mortar matrix , 2017 .

[3]  Zongjin Li,et al.  Flexural fatigue behavior of thin laminated cementitious composites incorporating cenosphere fillers , 2018 .

[4]  A. Fernández‐Canteli,et al.  A Unified Statistical Methodology for Modeling Fatigue Damage , 2010 .

[5]  Tarun R. Naik,et al.  FATIGUE BEHAVIOR OF PLAIN CONCRETE MADE WITH OR WITHOUT FLY ASH Prepared by Center for By-Products Utilization University of Wisconsin-Milwaukee , 2010 .

[6]  B. Pyttel,et al.  Comparison of different statistical models for description of fatigue including very high cycle fatigue , 2016 .

[7]  H. Behbahani.  Flexural behavior of steel fiber reinforced concrete beams , 2010 .

[8]  Qing-hua Li,et al.  Frequency Effect on the Compressive Fatigue Behavior of Ultrahigh Toughness Cementitious Composites: Experimental Study and Probabilistic Analysis , 2017 .

[9]  Alfonso Fernández-Canteli,et al.  Maximum likelihood estimation for the three-parameter Weibull cdf of strength in presence of concurrent flaw populations , 2013 .

[10]  Enrique Castillo,et al.  ProFatigue: a software program for probabilistic assessment of experimental fatigue data sets , 2014 .

[11]  Qing-hua Li,et al.  Tensile fatigue behavior of fiber-reinforced cementitious material with high ductility: Experimental study and novel P - S - N model , 2018, Construction and Building Materials.

[12]  Byung Hwan Oh,et al.  Fatigue Analysis of Plain Concrete in Flexure , 1986 .

[13]  Todorka Paskova,et al.  LOW-CYCLE FATIGUE OF PLAIN AND FIBER-REINFORCED CONCRETE , 1997 .

[14]  V. Mechtcherine,et al.  A novel test setup for the characterization of bridging behaviour of single microfibres embedded in a mineral-based matrix , 2018, Cement & Concrete Composites.

[15]  Wei Sun,et al.  The effect of silica fume and steel fiber on the dynamic mechanical performance of high-strength concrete , 1999 .

[16]  Amarnath Yerramala,et al.  Flexural strength of metakaolin ferrocement , 2013 .

[17]  C. Ball,et al.  Flexural Fatigue Strength of Steel Fiber Reinforced Concrete Beams , 1972 .

[18]  G. Batson.  Ferrocement and laminated cementitious composites , 2000 .

[19]  C E Kesler,et al.  THE FATIGUE OF PLAIN CONCRETE , 1968 .

[20]  Alfonso Fernández-Canteli,et al.  A critical comparison of two models for assessment of fatigue data , 2008 .

[21]  Qing-hua Li,et al.  Investigation on Compressive Fatigue Damage Process of Ultra-High Toughness Cementitious Composites , 2016 .

[22]  S. K. Kaushik,et al.  Fatigue strength of steel fibre reinforced concrete in flexure , 2003 .

[23]  J. A. Mohandesi,et al.  Fatigue behavior of polypropylene fiber reinforced concrete under constant and variable amplitude loading , 2013 .

[24]  Zongjin Li,et al.  Mechanical behavior of thin-laminated cementitious composites incorporating cenosphere fillers , 2018 .

[25]  Y. Mohammadi,et al.  Flexural fatigue strength of steel fibrous concrete containing mixed steel fibres , 2006 .

[26]  Prakash Desayi,et al.  Strength of ligthweight ferrocement in flexure , 1991 .

[27]  Mahyuddin Ramli,et al.  Ferrocement encased lightweight aerated concrete: A novel approach to produce sandwich composite , 2007 .

[28]  Zongjin Li,et al.  Properties improvement of fly ash cenosphere modified cement pastes using nano silica , 2017 .

[29]  G. MacRae,et al.  Effect of Steel Fibre Content on the Fatigue Behaviour of Steel Fibre Reinforced Concrete , 2012 .

[30]  Hong-Tao Wang,et al.  Fatigue deformation behavior and fiber failure mechanism of ultra-high toughness cementitious composites in compression , 2018, Materials & Design.

[31]  T. Kim,et al.  Improved flexural fatigue resistance of PVA fiber-reinforced concrete subjected to freezing and thawing cycles , 2014 .

[32]  B. Oh.  FATIGUE-LIFE DISTRIBUTIONS OF CONCRETE FOR VARIOUS STRESS LEVELS , 1991 .

[33]  R. Tepfers,et al.  Absorption of energy in fatigue loading of plain concrete , 1984 .

[34]  Mahyuddin Ramli,et al.  Performance of high wokability slag-cement mortar for ferrocement , 2007 .

[35]  S. Goel,et al.  Fatigue Analysis of Plain and Fiber-Reinforced Self-Consolidating Concrete , 2012 .

[36]  Qing-hua Li,et al.  Fatigue Deformation Model of Plain and Fiber-Reinforced Concrete Based on Weibull Function , 2019, Journal of Structural Engineering.

[37]  D. Chang,et al.  Flexural fracture and fatigue behavior of steel-fiber-reinforced concrete structures , 1995 .

[38]  S. Singh,et al.  Flexural Fatigue Life Distributions and Failure Probability of Steel Fibrous Concrete , 2000 .