Explicit dynamic fracture simulation of two-phase materials using a novel meso-structure modelling approach

Abstract In order to reduce the experimental cost and enable the numerical modelling better approaches the actual meso-structures of two-phase materials, a novel meso-scale modelling approach, combining the image-based and the parameterized modelling approaches, has been presented. In this approach, only limited samples of the studied two-phase material need to be provided for establishing an aggregate library, through which finite element models with different spatial distributions and volume fractions of aggregate can be arbitrarily generated for the use of virtual test. In the present virtual test, fracture failures were simulated in the framework of explicit dynamics. A rate-dependent cohesive zone model (CZM) was implemented through the user subroutines in ABAQUS to characterize the dynamic damage and fracture of the meso-structures. At the same time, an algorithm of embedding cohesive elements automatically into the potential damage zones was put forward. Finally, two typical numerical examples were given to verify these proposed methods and models, meanwhile the influences of spatial distribution and volume fraction of aggregate on the mechanical performance of the meso-structure were investigated. It can be validated that the present developed methods and models can effectively and efficiently characterize the dynamic fracture behavior of two-phase materials.

[1]  M. D. Thouless,et al.  Mixed-mode fracture analyses of plastically-deforming adhesive joints , 2001 .

[2]  Ling Li,et al.  Breaking processes in three-dimensional bonded granular materials with general shapes , 2012, Comput. Phys. Commun..

[3]  Jin Xia,et al.  Ionic transport features in concrete composites containing various shaped aggregates: a numerical study , 2018 .

[4]  Andrey P. Jivkov,et al.  Computational technology for analysis of 3D meso-structure effects on damage and failure of concrete , 2016 .

[5]  Xinhua Yang,et al.  Fracture simulation of pre-cracked heterogeneous asphalt mixture beam with movable three-point bending load , 2014 .

[6]  P. Camanho,et al.  Numerical Simulation of Mixed-Mode Progressive Delamination in Composite Materials , 2003 .

[7]  Dallas N. Little,et al.  Modeling the 3D fracture-associated behavior of viscoelastic asphalt mixtures using 2D microstructures , 2017 .

[8]  Mariana D. Banea,et al.  Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer , 2013 .

[9]  Andrey P. Jivkov,et al.  Structure of micro-crack population and damage evolution in quasi-brittle media , 2014 .

[10]  Vinh Phu Nguyen.  Discontinuous Galerkin/extrinsic cohesive zone modeling: Implementation caveats and applications in computational fracture mechanics , 2014 .

[11]  John M. Boone,et al.  Development of a micromechanical finite element model from computed tomography images for shear modulus simulation of asphalt mixtures , 2012 .

[12]  Andrey P. Jivkov,et al.  Pore space and brittle damage evolution in concrete , 2013 .

[13]  Guozhong Chai,et al.  Three-dimensional thermal weight function method for the interface crack problems in bimaterial structures under a transient thermal loading , 2016 .

[14]  Huisu Chen,et al.  Aggregate shape effect on the diffusivity of mortar , 2014 .

[15]  M. Crisfield,et al.  Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues , 2001 .

[16]  Vinh Phu Nguyen.  An open source program to generate zero-thickness cohesive interface elements , 2014, Adv. Eng. Softw..

[17]  Hyunwook Kim.  Investigation of Toughening Mechanisms in the Fracture of Asphalt Concrete Using the Clustered Discrete Element Method , 2007 .

[18]  Jian-Ying Wu,et al.  A geometrically regularized gradient-damage model with energetic equivalence , 2018 .

[19]  Lan Wang,et al.  Study on affecting factors of interface crack for asphalt mixture based on microstructure , 2017 .

[20]  Ignacio Carol,et al.  3D meso-structural analysis of concrete specimens under uniaxial tension , 2006 .

[21]  H. Espinosa,et al.  A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation , 2003 .

[22]  Lihua Liang,et al.  Ductile fracture of solder-Cu interface and inverse identification of its interfacial model parameters , 2017 .

[23]  Yong Liu,et al.  A unified cohesive zone model for simulating adhesive failure of composite structures and its parameter identification , 2017 .

[24]  Eyad Masad.  X-ray computed tomography of aggregates and asphalt mixes , 2004 .

[25]  R. K. Mittal,et al.  Elastic modulus of 3D carbon/carbon composite using image-based finite element simulations and experiments , 2013 .

[26]  Javier Segurado,et al.  Three dimensional (3D) microstructure-based modeling of interfacial decohesion in particle reinforced metal matrix composites , 2012 .

[27]  I. Iordanoff,et al.  Deformation localisation modelling of polymer foam microstructure under compression: A new approach by discrete element modelling , 2010 .

[28]  Yong-Rak Kim,et al.  Microstructure modeling of rate-dependent fracture behavior in bituminous paving mixtures , 2013 .

[29]  Helmut J. Böhm,et al.  Effects of particle shape on the macroscopic and microscopic linear behaviors of particle reinforced composites , 2012 .

[30]  Luc Courard,et al.  Shape simulation of granular particles in concrete and applications in DEM , 2012 .

[31]  Dallas N. Little,et al.  Three-Dimensional Microstructural Modeling of Asphalt Concrete by Use of X-Ray Computed Tomography , 2013 .

[32]  P. Wriggers,et al.  Mesoscale models for concrete: homogenisation and damage behaviour , 2006 .

[33]  Ch. Zhang,et al.  Two-dimensional X-ray CT image based meso-scale fracture modelling of concrete , 2015 .

[34]  M. Ortiz,et al.  FINITE-DEFORMATION IRREVERSIBLE COHESIVE ELEMENTS FOR THREE-DIMENSIONAL CRACK-PROPAGATION ANALYSIS , 1999 .

[35]  Glaucio H. Paulino,et al.  Investigation of the Fracture Resistance of Hot-Mix Asphalt Concrete Using a Disk-Shaped Compact Tension Test , 2005 .

[36]  Laura Maria Goretti da Motta,et al.  Numerical–Experimental Approach to Characterize Fracture Properties of Asphalt Mixtures at Low Temperatures , 2014 .

[37]  Glaucio H. Paulino,et al.  Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials , 2005 .

[38]  Norihide Koshika,et al.  Analytical studies on local damage to reinforced concrete structures under impact loading by discrete element method , 1998 .

[39]  Romain Boman,et al.  Finite element modelling of composite structures under crushing load , 2015 .

[40]  Jian Wang,et al.  Fracture simulation of asphalt concrete with randomly generated aggregate microstructure , 2018 .

[41]  Vinh Phu Nguyen,et al.  A multi-scale rate dependent crack model for quasi-brittle heterogeneous materials , 2013 .

[42]  F. H. Wittmann,et al.  Fracture mechanics of concrete , 1983 .

[43]  Yong-Rak Kim,et al.  Mode I Fracture Characterization of Bituminous Paving Mixtures at Intermediate Service Temperatures , 2012 .

[44]  Lihua Liang,et al.  Inverse parameter identification of cohesive zone model for simulating mixed-mode crack propagation , 2014 .

[45]  A. Needleman.  An analysis of tensile decohesion along an interface , 1990 .