Parallelization of lattice modelling for estimation of fracture process zone extent in cementitious composites

This paper is focused on the verification and validation of the developing technique for estimation of the extent (the size and shape) of the fracture process zone (FPZ) in quasi-brittle silicate-based specimens/structures during failure process (termed the ReFraPro -Reconstruction of Fracture Process - technique). Most experimental data published in the literature are incomplete for its sound validation; therefore, numerical simulations by means of physical discretization of continuum are used for supplementing the verification of the technique. A discrete spring network/lattice particle-type model formulated as a nonlinear dynamical system is utilized. Parallelized implementation within the CUDA environment helps to decrease the computational cost of the simulations to an admissible level. The conducted analysis demonstrates satisfactory agreement of the size and shape of the FPZ reconstructed by the ReFraPro technique with both the data of the performed simulations and selected experimental data from literature.

[1]  J. Mier.  Fracture Processes of Concrete , 1997 .

[2]  Bhushan Lal Karihaloo,et al.  Coefficients of the crack tip asymptotic field for wedge-splitting specimens of different sizes , 2003 .

[3]  Z. Bažant,et al.  Determination of fracture energy, process zone longth and brittleness number from size effect, with application to rock and conerete , 1990 .

[4]  Minh Phono Luong,et al.  Infrared thermovision of damage processes in concrete and rock , 1990 .

[5]  Bhushan Lal Karihaloo,et al.  A simple method for determining the true specific fracture energy of concrete , 2003 .

[6]  Bhushan Lal Karihaloo,et al.  A method for constructing the bilinear tension softening diagram of concrete corresponding to its true fracture energy , 2004 .

[7]  Xiaozhi Hu,et al.  Size effect: Influence of proximity of fracture process zone to specimen boundary , 2007 .

[8]  Bhushan Lal Karihaloo,et al.  Fracture process zone size and true fracture energy of concrete using acoustic emission , 2010 .

[9]  Xiaozhi Hu,et al.  Size effect on specific fracture energy of concrete , 2007 .

[10]  F. H. Wittmann,et al.  Influence of size on fracture energy of concrete , 2001 .

[11]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[12]  Václav Veselý,et al.  Reconstruction of a fracture process zone during tensile failure of quasi-brittle materials , 2010 .

[13]  Václav Veselý,et al.  Fractality of Simulated Fracture , 2009 .

[14]  Bhushan Lal Karihaloo,et al.  Higher order terms of the crack tip asymptotic field for a notched three-point bend beam , 2001 .

[15]  Václav Veselý,et al.  Influence of Boundary Conditions on Higher Order Terms of Near-Crack-Tip Stress Field in a WST Specimen , 2011 .

[16]  B. Karihaloo.  Fracture mechanics and structural concrete , 1995 .

[17]  K. Otsuka,et al.  Fracture process zone in concrete tension specimen , 2000 .

[18]  M. Ohtsu,et al.  Crack evaluation in concrete members based on ultrasonic spectroscopy , 1995 .

[19]  John E. Bolander,et al.  STRESS ANALYSIS USING ELASTICALLY HOMOGENEOUS RIGID-BODY-SPRING NETWORKS , 1999 .

[20]  Surendra P. Shah,et al.  DAMAGE ASSESSMENT IN CONCRETE USING QUANTITATIVE ACOUSTIC EMISSION , 1991 .

[21]  S. Shah,et al.  Process zone and acoustic-emission measurements in concrete , 1988 .

[22]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[23]  Xiaozhi Hu,et al.  Influence of fracture process zone height on fracture energy of concrete , 2004 .

[24]  H. Mihashi,et al.  Correlation between characteristics of fracture process zone and tension-softening properties of concrete , 1996 .

[25]  Rilem.  FMC 1 Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams , 1985 .

[26]  E. Landis.  Micro–macro fracture relationships and acoustic emissions in concrete , 1999 .

[27]  Surendra P. Shah,et al.  Fracture Mechanics of Concrete: Applications of Fracture Mechanics to Concrete, Rock and Other Quasi-Brittle Materials , 1995 .

[28]  B. Karihaloo,et al.  Verification of the applicability of lattice model to concrete fracture by AE study , 2010 .

[29]  Xiaozhi Hu,et al.  Boundary effect on concrete fracture and non-constant fracture energy distribution , 2003 .

[30]  Bhushan Lal Karihaloo,et al.  Higher order terms of the crack tip asymptotic field for a wedge-splitting specimen , 2001 .

[31]  S. Seitl,et al.  Two-parameter fracture mechanical analysis of a near-crack-tip stress field in wedge splitting test specimens , 2011 .

[32]  Ladislav Řoutil.  Fracture process zone size and energy dissipated during crack propagation in quasi-brittle materials , 2008 .

[33]  Surendra P. Shah,et al.  Experimental methods for determining fracture process zone and fracture parameters , 1990 .

[34]  Zdenek P. Bazant,et al.  ANALYSIS OF WORK-OF-FRACTURE METHOD FOR MEASURING FRACTURE ENERGY OF CONCRETE , 1996 .

[35]  Bhushan Lal Karihaloo,et al.  Determination of specimen-size independent fracture toughness of plain concrete , 1986 .