Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics

Das, Sumanta; Hoffarth, Canio; Ren, Bo; Spencer, Benjamin; Sant, Gaurav; Rajan, Subramaniam D.; Neithalath, Narayanan

doi:10.1061/(ASCE)EM.1943-7889.0001628

Title: Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics

Journal Article · Mon Jul 01 00:00:00 EDT 2019 · Journal of Engineering Mechanics

DOI:https://doi.org/10.1061/(ASCE)EM.1943-7889.0001628· OSTI ID:1572459

^[1]; Hoffarth, Canio ^[2]; Ren, Bo ^[3];

^[4]; Sant, Gaurav ^[5]; Rajan, Subramaniam D. ^[2]; Neithalath, Narayanan ^[2]

Univ. of Rhode Island, Kingston, RI (United States)
Arizona State Univ., Tempe, AZ (United States)
Livermore Software Technology Corp., Livermore, CA (United States)
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Univ. of California, Los Angeles, CA (United States)

This paper simulates fracture in notched mortar beams under three-point bending using extended finite element method (XFEM) and peridynamics. A three-phase microstructure (i.e., cement paste, aggregates, and paste-aggregate interface) is used for constitutive modeling of the mortar to obtain the elastic properties for simulation. In the XFEM approach, the simulated homogenized elastic modulus is used along with the total fracture energy of the cement mortar in a damage model to predict the fracture response of the mortar including crack propagation and its fracture parameters (Mode I stress intensity factor, K_IC and critical crack tip opening displacement, CTOD_C). The damage model incorporates a maximum principal stress-based damage initiation criteria and a traction-separation law for damage evolution. In the peridynamics approach, a bond-based model involving a prototype microelastic brittle (PMB) material model is used. The elastic properties and fracture energy release rates are used as inputs in the PMB model, along with the choice of peridynamic horizon size. Comparison with experimental fracture properties (K_IC, CTOD_C) as well as crack propagation paths from digital image correlation show that both the approaches yield satisfactory results, particularly for K_IC and crack extension. Furthermore, both these methods can be adopted for fracture simulation of cement-based materials.

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Research Organization:: Idaho National Lab. (INL), Idaho Falls, ID (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE)

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1572459

Report Number(s):: INL/JOU-17-42014-Rev000; TRN: US2001269

Journal Information:: Journal of Engineering Mechanics, Vol. 145, Issue 7; ISSN 0733-9399

Publisher:: American Society of Civil Engineers (ASCE)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (70)

Radiation shielding of concretes containing different aggregates Akkurt, I.; Basyigit, C.; Kilincarslan, S. Cement and Concrete Composites, Vol. 28, Issue 2 https://doi.org/10.1016/j.cemconcomp.2005.09.006	journal	February 2006
Concrete blocks for thermal insulation in hot climate Al-Jabri, K. S.; Hago, A. W.; Al-Nuaimi, A. S. Cement and Concrete Research, Vol. 35, Issue 8 https://doi.org/10.1016/j.cemconres.2004.08.018	journal	August 2005
The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture Azdoud, Yan; Han, Fei; Lubineau, Gilles Computational Mechanics, Vol. 54, Issue 3 https://doi.org/10.1007/s00466-014-1023-3	journal	April 2014
XFEM fracture analysis of orthotropic functionally graded materials Bayesteh, Hamid; Mohammadi, Soheil Composites Part B: Engineering, Vol. 44, Issue 1 https://doi.org/10.1016/j.compositesb.2012.07.055	journal	January 2013
Concrete fracture models: testing and practice Bažant, Zdeněk P. Engineering Fracture Mechanics, Vol. 69, Issue 2 https://doi.org/10.1016/S0013-7944(01)00084-4	journal	January 2002
Elastic crack growth in finite elements with minimal remeshing Belytschko, T.; Black, T. International Journal for Numerical Methods in Engineering, Vol. 45, Issue 5 https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S	journal	June 1999
A coupled constitutive model for fracture in plain concrete based on continuum theory with non-local softening and eXtended Finite Element Method Bobiński, Jerzy; Tejchman, Jacek Finite Elements in Analysis and Design, Vol. 114 https://doi.org/10.1016/j.finel.2016.02.001	journal	July 2016
Irregular lattice model for quasistatic crack propagation Bolander, J. E.; Sukumar, N. Physical Review B, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevB.71.094106	journal	March 2005
Applications of digital-image-correlation techniques to experimental mechanics Chu, T. C.; Ranson, W. F.; Sutton, M. A. Experimental Mechanics, Vol. 25, Issue 3 https://doi.org/10.1007/BF02325092	journal	September 1985
Delamination modelling of GLARE using the extended finite element method Curiel Sosa, J. L.; Karapurath, N. Composites Science and Technology, Vol. 72, Issue 7 https://doi.org/10.1016/j.compscitech.2012.02.005	journal	April 2012
Internal curing of high-performance concrete with pre-soaked fine lightweight aggregate for prevention of autogenous shrinkage cracking Cusson, Daniel; Hoogeveen, Ted Cement and Concrete Research, Vol. 38, Issue 6 https://doi.org/10.1016/j.cemconres.2008.02.001	journal	June 2008
The fracture response of blended formulations containing limestone powder: Evaluations using two-parameter fracture model and digital image correlation Das, Sumanta; Aguayo, Matthew; Dey, Vikram Cement and Concrete Composites, Vol. 53 https://doi.org/10.1016/j.cemconcomp.2014.07.018	journal	October 2014
Fracture process zone and tensile behavior of blended binders containing limestone powder Das, Sumanta; Aguayo, Matthew; Sant, Gaurav Cement and Concrete Research, Vol. 73 https://doi.org/10.1016/j.cemconres.2015.03.002	journal	July 2015
Finite element-based micromechanical modeling of the influence of phase properties on the elastic response of cementitious mortars Das, Sumanta; Maroli, Amit; Neithalath, Narayanan Construction and Building Materials, Vol. 127 https://doi.org/10.1016/j.conbuildmat.2016.09.153	journal	November 2016
A microstructure-guided constitutive modeling approach for random heterogeneous materials: Application to structural binders Das, Sumanta; Maroli, Amit; Singh, Sudhanshu S. Computational Materials Science, Vol. 119 https://doi.org/10.1016/j.commatsci.2016.03.040	journal	June 2016
Synthesis and Properties of a Novel Structural Binder Utilizing the Chemistry of Iron Carbonation Das, Sumanta; Souliman, Beshoy; Stone, David ACS Applied Materials & Interfaces, Vol. 6, Issue 11 https://doi.org/10.1021/am5011145	journal	May 2014
Effective properties of a fly ash geopolymer: Synergistic application of X-ray synchrotron tomography, nanoindentation, and homogenization models Das, Sumanta; Yang, Pu; Singh, Sudhanshu S. Cement and Concrete Research, Vol. 78 https://doi.org/10.1016/j.cemconres.2015.08.004	journal	December 2015
Application of multiscale elastic homogenization based on nanoindentation for high performance concrete da Silva, W. R. L.; Němeček, J.; Štemberk, P. Advances in Engineering Software, Vol. 62-63 https://doi.org/10.1016/j.advengsoft.2013.04.007	journal	August 2013
An XFEM multiscale approach for fracture analysis of carbon nanotube reinforced concrete Eftekhari, Mehdi; Hatefi Ardakani, Saeed; Mohammadi, Soheil Theoretical and Applied Fracture Mechanics, Vol. 72 https://doi.org/10.1016/j.tafmec.2014.06.005	journal	August 2014
Anisotropic mode-dependent damage of cortical bone using the extended finite element method (XFEM) Feerick, Emer M.; Liu, Xiangyi (Cheryl); McGarry, Patrick Journal of the Mechanical Behavior of Biomedical Materials, Vol. 20 https://doi.org/10.1016/j.jmbbm.2012.12.004	journal	April 2013
On the feasibility of using phase change materials (PCMs) to mitigate thermal cracking in cementitious materials Fernandes, Fabio; Manari, Shilpa; Aguayo, Mathew Cement and Concrete Composites, Vol. 51 https://doi.org/10.1016/j.cemconcomp.2014.03.003	journal	August 2014
Numerical modelling crack propagation under Mode II fracture in plain concretes containing siliceous fly-ash additive using XFEM method Golewski, G. L.; Golewski, P.; Sadowski, T. Computational Materials Science, Vol. 62 https://doi.org/10.1016/j.commatsci.2012.05.009	journal	September 2012
How to consider the Interfacial Transition Zones in the finite element modelling of concrete? Grondin, F.; Matallah, M. Cement and Concrete Research, Vol. 58 https://doi.org/10.1016/j.cemconres.2014.01.009	journal	April 2014
Wave dispersion analysis and simulation method for concrete SHPB test in peridynamics Gu, Xin; Zhang, Qing; Huang, Dan Engineering Fracture Mechanics, Vol. 160 https://doi.org/10.1016/j.engfracmech.2016.04.005	journal	July 2016
Adaptive coupling between damage mechanics and peridynamics: A route for objective simulation of material degradation up to complete failure Han, Fei; Lubineau, Gilles; Azdoud, Yan Journal of the Mechanics and Physics of Solids, Vol. 94 https://doi.org/10.1016/j.jmps.2016.05.017	journal	September 2016
An inverse method to determine the elastic properties of the interphase between the aggregate and the cement paste Hashin, Z.; Monteiro, P. J. M. Cement and Concrete Research, Vol. 32, Issue 8 https://doi.org/10.1016/S0008-8846(02)00792-5	journal	August 2002
Understanding the Energy Implications of Phase-Change Materials in Concrete Walls through Finite-Element Analysis Hembade, Lavannya; Neithalath, Narayanan; Rajan, Subramaniam D. Journal of Energy Engineering, Vol. 140, Issue 1 https://doi.org/10.1061/(ASCE)EY.1943-7897.0000146	journal	March 2014
Static and dynamic behaviour of recycled tyre rubber-filled concrete Hernández-Olivares, F.; Barluenga, G.; Bollati, M. Cement and Concrete Research, Vol. 32, Issue 10 https://doi.org/10.1016/S0008-8846(02)00833-5	journal	October 2002
Double-inclusion model and overall moduli of multi-phase composites Hori, Muneo; Nemat-Nasser, Sia Mechanics of Materials, Vol. 14, Issue 3 https://doi.org/10.1016/0167-6636(93)90066-Z	journal	January 1993
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis Huang, Dan; Lu, Guangda; Qiao, Pizhong International Journal of Mechanical Sciences, Vol. 94-95 https://doi.org/10.1016/j.ijmecsci.2015.02.018	journal	May 2015
Advances in alternative cementitious binders Juenger, M. C. G.; Winnefeld, F.; Provis, J. L. Cement and Concrete Research, Vol. 41, Issue 12 https://doi.org/10.1016/j.cemconres.2010.11.012	journal	December 2011
Influence of volume fraction and characteristics of lightweight aggregates on the mechanical properties of concrete Ke, Y.; Beaucour, A. L.; Ortola, S. Construction and Building Materials, Vol. 23, Issue 8 https://doi.org/10.1016/j.conbuildmat.2009.02.038	journal	August 2009
Workability, and mechanical, acoustic and thermal properties of lightweight aggregate concrete with a high volume of entrained air Kim, H. K.; Jeon, J. H.; Lee, H. K. Construction and Building Materials, Vol. 29 https://doi.org/10.1016/j.conbuildmat.2011.08.067	journal	April 2012
Meso-scale computational modeling of the plastic-damage response of cementitious composites Kim, Sun-Myung; Abu Al-Rub, Rashid K. Cement and Concrete Research, Vol. 41, Issue 3 https://doi.org/10.1016/j.cemconres.2010.12.002	journal	March 2011
A non-ordinary state-based peridynamics modeling of fractures in quasi-brittle materials Lai, Xin; Liu, Lisheng; Li, Shaofan International Journal of Impact Engineering, Vol. 111 https://doi.org/10.1016/j.ijimpeng.2017.08.008	journal	January 2018
Peridynamics simulations of geomaterial fragmentation by impulse loads: Peridynamics simulations of geomaterial fragmentation by impulse loads Lai, Xin; Ren, Bo; Fan, Houfu International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 12 https://doi.org/10.1002/nag.2356	journal	March 2015
Force flux and the peridynamic stress tensor Lehoucq, R.; Silling, S. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 4 https://doi.org/10.1016/j.jmps.2007.08.004	journal	April 2008
Boundary conditions for unit cells from periodic microstructures and their implications Li, S. Composites Science and Technology, Vol. 68, Issue 9 https://doi.org/10.1016/j.compscitech.2007.03.035	journal	July 2008
How to simulate billiards and similar systems Lubachevsky, Boris D. Journal of Computational Physics, Vol. 94, Issue 2 https://doi.org/10.1016/0021-9991(91)90222-7	journal	June 1991
Geometric properties of random disk packings Lubachevsky, Boris D.; Stillinger, Frank H. Journal of Statistical Physics, Vol. 60, Issue 5-6 https://doi.org/10.1007/BF01025983	journal	September 1990
Disks vs. spheres: Contrasting properties of random packings Lubachevsky, Boris D.; Stillinger, Frank H.; Pinson, Elliot N. Journal of Statistical Physics, Vol. 64, Issue 3-4 https://doi.org/10.1007/BF01048304	journal	August 1991
Inhomogeneous Interfacial Transition zone Model for the bulk Modulus of Mortar Lutz, Melanie P.; Monteiro, Paulo J. M.; Zimmerman, Robert W. Cement and Concrete Research, Vol. 27, Issue 7 https://doi.org/10.1016/S0008-8846(97)00086-0	journal	July 1997
On the utilization of heavy concrete for radiation shielding Makarious, A. S.; Bashter, I. I.; El-Sayed Abdo, A. Annals of Nuclear Energy, Vol. 23, Issue 3 https://doi.org/10.1016/0306-4549(95)00021-1	journal	February 1996
A note on the generation of periodic granular microstructures based on grain size distributions Meier, H. A.; Kuhl, E.; Steinmann, P. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 5 https://doi.org/10.1002/nag.635	journal	January 2008
Average stress in matrix and average elastic energy of materials with misfitting inclusions Mori, T.; Tanaka, K. Acta Metallurgica, Vol. 21, Issue 5 https://doi.org/10.1016/0001-6160(73)90064-3	journal	May 1973
3D Nonlinear XFEM Simulation of Delamination in Unidirectional Composite Laminates: A Sensitivity Analysis of Modeling Parameters Motamedi, Damoon; Milani, Abbas S. Open Journal of Composite Materials, Vol. 03, Issue 04 https://doi.org/10.4236/ojcm.2013.34012	journal	January 2013
Influence of the volume fraction and the nature of fine lightweight aggregates on the thermal and mechanical properties of structural concrete Nguyen, L. H.; Beaucour, A. -L.; Ortola, S. Construction and Building Materials, Vol. 51 https://doi.org/10.1016/j.conbuildmat.2013.11.019	journal	January 2014
Estimation of the elastic moduli of lightweight aggregate Nilsen, A. Ulrik; Monteiro, Paulo J. M.; Gjørv, Odd E. Cement and Concrete Research, Vol. 25, Issue 2 https://doi.org/10.1016/0008-8846(95)00009-7	journal	February 1995
Estimation of crack-tip-opening displacement and crack extension of glass fiber reinforced polymer mortars using digital image correlation method Nunes, L. C. S.; Reis, J. M. L. Materials & Design, Vol. 33 https://doi.org/10.1016/j.matdes.2011.07.051	journal	January 2012
Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review Pan, Bing; Qian, Kemao; Xie, Huimin Measurement Science and Technology, Vol. 20, Issue 6 https://doi.org/10.1088/0957-0233/20/6/062001	journal	April 2009
Cohesive fracture model for functionally graded fiber reinforced concrete Park, Kyoungsoo; Paulino, Glaucio H.; Roesler, Jeffery Cement and Concrete Research, Vol. 40, Issue 6 https://doi.org/10.1016/j.cemconres.2010.02.004	journal	June 2010
Structure and strength of NaOH activated concretes containing fly ash or GGBFS as the sole binder Ravikumar, Deepak; Peethamparan, Sulapha; Neithalath, Narayanan Cement and Concrete Composites, Vol. 32, Issue 6 https://doi.org/10.1016/j.cemconcomp.2010.03.007	journal	July 2010
A 3D discontinuous Galerkin finite element method with the bond-based peridynamics model for dynamic brittle failure analysis Ren, Bo; Wu, C. T.; Askari, E. International Journal of Impact Engineering, Vol. 99 https://doi.org/10.1016/j.ijimpeng.2016.09.003	journal	January 2017
Concrete fracture prediction using bilinear softening Roesler, Jeffrey; Paulino, Glaucio H.; Park, Kyoungsoo Cement and Concrete Composites, Vol. 29, Issue 4 https://doi.org/10.1016/j.cemconcomp.2006.12.002	journal	April 2007
An embedded crack model for finite element analysis of concrete fracture Sancho, J. M.; Planas, J.; Cendón, D. A. Engineering Fracture Mechanics, Vol. 74, Issue 1-2 https://doi.org/10.1016/j.engfracmech.2006.01.015	journal	January 2007
Variable horizon in a peridynamic medium Silling, Stewart; Littlewood, David; Seleson, Pablo Journal of Mechanics of Materials and Structures, Vol. 10, Issue 5 https://doi.org/10.2140/jomms.2015.10.591	journal	January 2015
Reformulation of elasticity theory for discontinuities and long-range forces Silling, S. A. Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 1 https://doi.org/10.1016/S0022-5096(99)00029-0	journal	January 2000
A meshfree method based on the peridynamic model of solid mechanics Silling, S. A.; Askari, E. Computers & Structures, Vol. 83, Issue 17-18 https://doi.org/10.1016/j.compstruc.2004.11.026	journal	June 2005
Peridynamic modeling of membranes and fibers Silling, S. A.; Bobaru, F. International Journal of Non-Linear Mechanics, Vol. 40, Issue 2-3 https://doi.org/10.1016/j.ijnonlinmec.2004.08.004	journal	March 2005
Peridynamic States and Constitutive Modeling Silling, S. A.; Epton, M.; Weckner, O. Journal of Elasticity, Vol. 88, Issue 2 https://doi.org/10.1007/s10659-007-9125-1	journal	July 2007
A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material Song, Seong Hyeok; Paulino, Glaucio H.; Buttlar, William G. Engineering Fracture Mechanics, Vol. 73, Issue 18 https://doi.org/10.1016/j.engfracmech.2006.04.030	journal	December 2006
Annual energy analysis of concrete containing phase change materials for building envelopes Thiele, Alexander M.; Jamet, Astrid; Sant, Gaurav Energy Conversion and Management, Vol. 103 https://doi.org/10.1016/j.enconman.2015.06.068	journal	October 2015
Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling van der Sluis, O.; Schreurs, P. J. G.; Brekelmans, W. A. M. Mechanics of Materials, Vol. 32, Issue 8 https://doi.org/10.1016/S0167-6636(00)00019-3	journal	August 2000
Anisotropic damage–plasticity model for concrete Voyiadjis, George Z.; Taqieddin, Ziad N.; Kattan, Peter I. International Journal of Plasticity, Vol. 24, Issue 10 https://doi.org/10.1016/j.ijplas.2008.04.002	journal	October 2008
A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids Wang, Yunteng; Zhou, Xiaoping; Wang, Yuan International Journal of Solids and Structures, Vol. 134 https://doi.org/10.1016/j.ijsolstr.2017.10.022	journal	March 2018
On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites Xia, Zihui; Zhou, Chuwei; Yong, Qiaoling International Journal of Solids and Structures, Vol. 43, Issue 2 https://doi.org/10.1016/j.ijsolstr.2005.03.055	journal	January 2006
Effect of the Transition Zone on the Elastic Moduli of Mortar Yang, C. C. Cement and Concrete Research, Vol. 28, Issue 5 https://doi.org/10.1016/S0008-8846(98)00035-0	journal	May 1998
An eXtended Finite Element Method (XFEM) study on the effect of reinforcing particles on the crack propagation behavior in a metal–matrix composite Ye, Chang; Shi, Jay; Cheng, Gary J. International Journal of Fatigue, Vol. 44 https://doi.org/10.1016/j.ijfatigue.2012.05.004	journal	November 2012
Nanomechanical characteristics of lightweight aggregate concrete containing supplementary cementitious materials exposed to elevated temperature Zanjani Zadeh, V.; Bobko, C. P. Construction and Building Materials, Vol. 51 https://doi.org/10.1016/j.conbuildmat.2013.10.034	journal	January 2014
Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks Zhou, Xiao-Ping; Gu, Xin-Bao; Wang, Yun-Teng International Journal of Rock Mechanics and Mining Sciences, Vol. 80 https://doi.org/10.1016/j.ijrmms.2015.09.006	journal	December 2015

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