A Unified concrete damage model for monotonic loading and fatigue loading

In this work, a unified damage model is proposed for describing the mechanical behavior of concrete under monotonic loading and fatigue loading. Based on the micro‐meso stochastic fracture model (MMSF), the multiscale energy dissipation within the microspring is investigated. The rate process theory and a crack hierarchy model are employed to describe the nanocrack growth rate and crack number, respectively. It is found out that the fracture strain of the microspring can be derived from the energy dissipation analysis. The expression of the stochastic damage evolution law is changed to “energy dissipation threshold” instead of “fracture strain.” The new model can describe different damage evolution forms under monotonic and fatigue loading with the same parameters. The mechanisms of different damage evolution laws under different loading modes are analyzed in detail. Finally, a numerical example is presented to verify the proposed model.

[1]  Jie Li,et al.  A two-scale stochastic damage model for concrete under fatigue loading , 2021 .

[2]  Rostislav Chudoba,et al.  Classification and evaluation of phenomenological numerical models for concrete fatigue behavior under compression , 2019, Construction and Building Materials.

[3]  Li Jie,et al.  A physically motivated model for fatigue damage of concrete , 2018 .

[4]  Jie Li,et al.  Indentation tests based multi-scale random media modeling of concrete , 2018 .

[5]  Jie Li,et al.  A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete , 2016 .

[6]  Jörg F. Unger,et al.  Constitutive modeling of creep-fatigue interaction for normal strength concrete under compression , 2015 .

[7]  Jie Li,et al.  A random medium model for simulation of concrete failure , 2013 .

[8]  Gilles Foret,et al.  A continuum damage modeling of quasi-static fatigue strength of plain concrete , 2012 .

[9]  Martin Z. Bazant,et al.  Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling , 2011 .

[10]  Xiaodan Ren,et al.  Stochastic damage model for concrete based on energy equivalent strain , 2009 .

[11]  Frédéric Ragueneau,et al.  Continuum damage mechanics for hysteresis and fatigue of quasi‐brittle materials and structures , 2007 .

[12]  Rui Faria,et al.  An energy release rate-based plastic-damage model for concrete , 2006 .

[13]  J. Lemaître,et al.  Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures , 2005 .

[14]  A. Alliche,et al.  Damage model for fatigue loading of concrete , 2004 .

[15]  Billie F. Spencer,et al.  Stochastic Damage Model for Brittle Materials Subjected to Monotonic Loading , 1996 .

[16]  Gilles Pijaudier-Cabot,et al.  From damage to fracture mechanics and conversely: A combined approach , 1996 .

[17]  P. Hänggi,et al.  Reaction-rate theory: fifty years after Kramers , 1990 .

[18]  R. Tepfers,et al.  Fatigue Strength of Plain, Ordinary,and Lightweight Concrete , 1979 .

[19]  Weiling Sun,et al.  Stochastic Harmonic Function Representation of Stochastic Processes , 2013 .

[20]  Zhang Qi-yun,et al.  Study of Stochastic Damage Constitutive Relationship for Concrete Material , 2001 .

[21]  J. Ju,et al.  On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects , 1989 .

[22]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[23]  J. Mazars.  A description of micro- and macroscale damage of concrete structures , 1986 .

[24]  Jean-Jacques Marigo,et al.  MODELLING OF BRITTLE AND FATIGUE DAMAGE FOR ELASTIC MATERIAL BY GROWTH OF MICROVOIDS , 1985 .

[25]  H.A.W. Cornelissen,et al.  Fatigue Failure of Concrete in Tension , 1984 .

[26]  Dusan Krajcinovic,et al.  Statistical aspects of the continuous damage theory , 1982 .

[27]  A. Jefferson,et al.  International Journal of Solids and Structures , 2022 .