BÀI BÁO RÚT LẠI: Mô phỏng sự phát triển của vết nứt bằng phương pháp vết nứt kết hợp

citation_journal_title=Computers and Structures; citation_title=A finite element analysis of nonprescribed crack propagation in concrete; citation_author=J. Alfaiate, P. Eb, J. A. C. Martins; citation_volume=63; citation_publication_date=1997; citation_pages=17-26; citation_doi=10.1016/S0045-7949(97)85247-9; citation_id=CR1 Arrea, M. and Ingraffea, A. R. (1982). Mixed-mode crack propagation in mortar and concrete, Technical Report 81-13, Department of Structural Engineering, Cornell University New York. citation_journal_title=Materials and Structures; citation_title=Crack band theory for fracture in concrete; citation_author=Z. P. Bazant, B. H. Oh; citation_volume=16; citation_publication_date=1983; citation_pages=155-177; citation_id=CR3 citation_journal_title=Computers & Structures; citation_title=Smoothing, enrichment and contact in the element free galerkin method; citation_author=T. Belytschko, M. Fleming; citation_volume=71; citation_issue=2; citation_publication_date=1999; citation_pages=173-195; citation_doi=10.1016/S0045-7949(98)00205-3; citation_id=CR4 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Element-free galerkin methods; citation_author=T. Belytschko, Y. Y. Lu, L. Gu; citation_volume=37; citation_publication_date=1994; citation_pages=229-256; citation_doi=10.1002/nme.1620370205; citation_id=CR5 citation_journal_title=Computer Methods in Applied Mechanics and Engineering; citation_title=Meshless methods: An overview and recent developments; citation_author=T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl; citation_volume=139; citation_issue=s.1–4; citation_publication_date=1996; citation_pages=3-47; citation_doi=10.1016/S0045-7825(96)01078-X; citation_id=CR6 citation_journal_title=International Journal of Solids and Structures; citation_title=Mixed mode fracture of concrete; citation_author=P. Bocca, A. Carpinteri, S. Valente; citation_volume=27; citation_publication_date=1991; citation_pages=1139-1153; citation_doi=10.1016/0020-7683(91)90115-V; citation_id=CR7 citation_journal_title=Engineering Fracture Mechanics; citation_title=Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by extrinsic discontinuous enrichment of meshfree methods without asymptotic enrichment; citation_author=S. Bordas, T. Rabczuk, G. Zi; citation_volume=75; citation_issue=5; citation_publication_date=2008; citation_pages=943-960; citation_doi=10.1016/j.engfracmech.2007.05.010; citation_id=CR8 citation_journal_title=Journal of Computing in Civil Engineering; citation_title=Large-scale parallel computation methodologies for highly nonlinear concrete and soil applications; citation_author=K. T. Danielson, S. A. Akers, J. L. O’Daniel; citation_volume=22; citation_publication_date=2008; citation_pages=140-146; citation_doi=10.1061/(ASCE)0887-3801(2008)22:2(140); citation_id=CR9 citation_journal_title=Cement and Concrete Research; citation_title=Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements; citation_author=A. Hillerborg, M. Modeer, P. E. Peterson; citation_volume=6; citation_publication_date=1976; citation_pages=773-782; citation_doi=10.1016/0008-8846(76)90007-7; citation_id=CR10 citation_journal_title=Journal of Engineering Mechanics; citation_title=Analysis of rotating crack model; citation_author=M. Jirasek, T. Zimmermann; citation_volume=124; citation_publication_date=1998; citation_pages=842-851; citation_doi=10.1061/(ASCE)0733-9399(1998)124:8(842); citation_id=CR11 Kormeling, H. A. and Reinhard, H. W. (1983). “Determination of the fracture energy of normal concrete and epoxy modified concrete.” Report No. 5-83-15, Delft University of Technology, Delft. citation_journal_title=Journal of Computing in Civil Engineering; citation_title=3d modeling for computer-integrated construction of rc structures; citation_author=R. Kunigahalli; citation_volume=11; citation_publication_date=1997; citation_pages=92-101; citation_doi=10.1061/(ASCE)0887-3801(1997)11:2(92); citation_id=CR13 citation_journal_title=Mathematics and Computation; citation_title=Surfaces generated by moving least squares methods; citation_author=P. Lancaster, K. Salkauskas; citation_volume=37; citation_publication_date=1981; citation_pages=141-158; citation_doi=10.1090/S0025-5718-1981-0616367-1; citation_id=CR14 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Reproducing kernel particle methods; citation_author=W. K. Liu, S. Jun, Y. F. Zhang; citation_volume=20; citation_issue=1; citation_publication_date=1995; citation_pages=1081-1106; citation_doi=10.1002/fld.1650200824; citation_id=CR15 citation_journal_title=Journal of Computational Physics; citation_title=Simulating free surface flows with sph; citation_author=J. J. Monaghan; citation_volume=110; citation_issue=20; citation_publication_date=1994; citation_pages=399-406; citation_doi=10.1006/jcph.1994.1034; citation_id=CR16 citation_journal_title=Mathematics and Computers in Simulation; citation_title=Meshless methods: A review and computer implementation aspects; citation_author=V. P. Nguyen, T. Rabczuk, S. Bordas, M. Duflot; citation_volume=79; citation_issue=2; citation_publication_date=2008; citation_pages=763-813; citation_doi=10.1016/j.matcom.2008.01.003; citation_id=CR17 citation_journal_title=Computational Mechanics; citation_title=Continuous meshless approximations for nonconvex bodies by diffraction and transparency; citation_author=D. Organ, M. Fleming, T. Terry, T. Belytschko; citation_volume=18; citation_publication_date=1996; citation_pages=225-235; citation_doi=10.1007/BF00369940; citation_id=CR18 citation_journal_title=Computer Methods in Applied Mechanics and Engineering; citation_title=Computational model for discrete crack growth in plain and reinforced concrete; citation_author=M. V. K. V. Prasad, C. S. Krishnamoorthy; citation_volume=191; citation_publication_date=2002; citation_pages=2699-2725; citation_doi=10.1016/S0045-7825(02)00210-4; citation_id=CR19 citation_journal_title=Computer Modeling in Engineering & Sciences; citation_title=A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis; citation_author=T. Rabczuk, P. Areias; citation_volume=16; citation_issue=2; citation_publication_date=2006; citation_pages=115-130; citation_id=CR20 citation_journal_title=International Journal for Numerical and Analytical Methods in Geomechanics; citation_title=A new approach for modelling slip lines in geological materials with cohesive models; citation_author=T. Rabczuk, P. M. A. Areias; citation_volume=30; citation_issue=11; citation_publication_date=2006; citation_pages=1159-1172; citation_doi=10.1002/nag.522; citation_id=CR21 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Cracking particles: A simplified meshfree method for arbitrary evolving cracks; citation_author=T. Rabczuk, T. Belytschko; citation_volume=61; citation_issue=13; citation_publication_date=2004; citation_pages=2316-2343; citation_doi=10.1002/nme.1151; citation_id=CR22 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Adaptivity for structured meshfree particle methods in 2d and 3d; citation_author=T. Rabczuk, T. Belytschko; citation_volume=63; citation_issue=11; citation_publication_date=2005; citation_pages=1559-1582; citation_doi=10.1002/nme.1326; citation_id=CR23 citation_journal_title=International Journal of Fracture; citation_title=Application of particle methods to static fracture of reinforced concrete structures; citation_author=T. Rabczuk, T. Belytschko; citation_volume=137; citation_issue=s.1–4; citation_publication_date=2006; citation_pages=19-49; citation_doi=10.1007/s10704-005-3075-z; citation_id=CR24 citation_journal_title=Computer Methods in Applied Mechanics and Engineering; citation_title=A three dimensional large deformation meshfree method for arbitrary evolving cracks; citation_author=T. Rabczuk, T. Belytschko; citation_volume=196; citation_issue=s.29–30; citation_publication_date=2007; citation_pages=2777-2799; citation_doi=10.1016/j.cma.2006.06.020; citation_id=CR25 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Simulation of high velocity concrete fragmentation using SPH/MLSPH; citation_author=T. Rabczuk, J. Eibl; citation_volume=56; citation_issue=10; citation_publication_date=2003; citation_pages=1421-1444; citation_doi=10.1002/nme.617; citation_id=CR26 citation_journal_title=International Journal of Solids and Structures; citation_title=Numerical analysis of prestressed concrete beams using a coupled element free galerkin/finite element method; citation_author=T. Rabczuk, J. Eibl; citation_volume=41; citation_issue=3–4; citation_publication_date=2004; citation_pages=1061-1080; citation_doi=10.1016/j.ijsolstr.2003.09.040; citation_id=CR27 citation_journal_title=International Journal of Impact Engineering; citation_title=Modelling dynamic failure of concrete with meshfree methods; citation_author=T. Rabczuk, J. Eibl; citation_volume=32; citation_issue=11; citation_publication_date=2006; citation_pages=1878-1897; citation_doi=10.1016/j.ijimpeng.2005.02.008; citation_id=CR28 citation_journal_title=Computer Methods in Applied Mechanics and Engineering; citation_title=Discontinuous modelling of shear bands using adaptive meshfree methods; citation_author=T. Rabczuk, E. Samaniego; citation_volume=197; citation_issue=s.6–8; citation_publication_date=2208; citation_pages=641-658; citation_id=CR29 citation_journal_title=Computational Mechanics; citation_title=A meshfree method based on the local partition of unity for cohesive cracks; citation_author=T. Rabczuk, G. Zi; citation_volume=39; citation_issue=6; citation_publication_date=2007; citation_pages=743-760; citation_doi=10.1007/s00466-006-0067-4; citation_id=CR30 citation_journal_title=International Journal of Solids and Structures; citation_title=A numerical model for reinforced concrete structures; citation_author=T. Rabczuk, J. Akkermann, J. Eibl; citation_volume=42; citation_issue=5–6; citation_publication_date=2005; citation_pages=1327-1354; citation_doi=10.1016/j.ijsolstr.2004.07.019; citation_id=CR31 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=A meshfree thin shell method for non-linear dynamic fracture; citation_author=T. Rabczuk, P. M. A. Areias, T. Belytschko; citation_volume=72; citation_issue=5; citation_publication_date=2007; citation_pages=524-548; citation_doi=10.1002/nme.2013; citation_id=CR32 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=A simplified meshfree method for shear bands with cohesive surfaces; citation_author=T. Rabczuk, P. M. A. Areias, T. Belytschko; citation_volume=69; citation_issue=5; citation_publication_date=2007; citation_pages=993-1021; citation_doi=10.1002/nme.1797; citation_id=CR33 citation_journal_title=Computer Methods in Applied Mechanics and Engineering; citation_title=Stable particle methods based on lagrangian kernels; citation_author=T. Rabczuk, T. Belytschko, S. P. Xiao; citation_volume=193; citation_issue=12–14; citation_publication_date=2004; citation_pages=1035-1063; citation_doi=10.1016/j.cma.2003.12.005; citation_id=CR34 citation_journal_title=Computational Mechanics; citation_title=A three-dimensional meshfree method for continuous multiple crack initiation, nucleation and propagation in statics and dynamics; citation_author=T. Rabczuk, S. Bordas, G. Zi; citation_volume=40; citation_issue=3; citation_publication_date=2007; citation_pages=473-495; citation_doi=10.1007/s00466-006-0122-1; citation_id=CR35 citation_journal_title=Engineering Fracture Mechanics; citation_title=Simulations of instability in dynamic fracture by the cracking particles method; citation_author=T. Rabczuk, J.-H. Song, T. Belytschko; citation_volume=76; citation_issue=6; citation_publication_date=2009; citation_pages=730-741; citation_doi=10.1016/j.engfracmech.2008.06.002; citation_id=CR36 citation_journal_title=Communications in Numerical Methods in Engineering; citation_title=Coupling of mesh-free methods with finite elements: basic concepts and test results; citation_author=T. Rabczuk, S. P. Xiao, A. Sauer; citation_volume=22; citation_issue=10; citation_publication_date=2006; citation_pages=1031-1065; citation_doi=10.1002/cnm.871; citation_id=CR37 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Immersed particle method for fluid-structure interaction; citation_author=T. Rabczuk, R. Gracie, J.-H. Song, T. Belytschko; citation_volume=81; citation_issue=1; citation_publication_date=2010; citation_pages=48-71; citation_id=CR38 citation_journal_title=Engineering Fracture Mechanics; citation_title=A geometrically non-linear three dimensional cohesive crack method for reinforced concrete structures; citation_author=T. Rabczuk, G. Zi, S. Bordas, H. Nguyen-Xuan; citation_volume=75; citation_issue=16; citation_publication_date=2008; citation_pages=4740-4758; citation_doi=10.1016/j.engfracmech.2008.06.019; citation_id=CR39 citation_journal_title=International Journal of Impact Engineering; citation_title=Recent improvements in sph modeling of hypervelocity impact; citation_author=P. W. Randles, L. D. Libersky; citation_volume=20; citation_publication_date=1997; citation_pages=525-532; citation_doi=10.1016/S0734-743X(97)87441-6; citation_id=CR40 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=Normalized sph with stress points; citation_author=P. W. Randles, L. D. Libersky; citation_volume=48; citation_publication_date=2000; citation_pages=1445-1461; citation_doi=10.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-9; citation_id=CR41 citation_journal_title=Journal of Computational Physics; citation_title=Smoothed particle hydrodynamics stability analysis; citation_author=J. W. Swegle, D. L. Hicks, S. W. Attaway; citation_volume=116; citation_publication_date=1995; citation_pages=123-134; citation_doi=10.1006/jcph.1995.1010; citation_id=CR42 citation_journal_title=International Journal for Numerical Methods in Engineering; citation_title=A vector level set method and new discontinuity approximation for crack growth by efg; citation_author=G. Ventura, J. Xu, T. Belytschko; citation_volume=54; citation_issue=6; citation_publication_date=2002; citation_pages=923-944; citation_doi=10.1002/nme.471; citation_id=CR43 citation_journal_title=Computational Mechanics; citation_title=Extended meshfree methods without branch enrichment for cohesive cracks; citation_author=G. Zi, T. Rabczuk, W. Wall; citation_volume=40; citation_issue=2; citation_publication_date=2007; citation_pages=367-382; citation_doi=10.1007/s00466-006-0115-0; citation_id=CR44