[1] XIAO Yang-jian, CHEN Zeng-shun, ZHOU Jian-ting, et al. Concrete plastic-damage factor for finite element analysis: concept, simulation, and experiment[J]. Advances in Mechanical Engineering, 2017, 9(9): 1-10.
[2] IOANNIDES A M. Fracture mechanics in pavement engineering: the specimen-size effect[J]. Transportation Research Record, 1997(1568): 10-16.
[3] RAMSAMOOJ D V, LIN G S, RAMADAN J. Stresses at joints and cracks in highway and airport pavements[J]. Engineering Fracture Mechanics, 1998, 60: 507-518.
[4] CASTELL M A, INGRAFFEA A R, IRWIN L H. Fatigue crack growth in pavements[J]. Journal of Transportation Engineering, 2000, 126(4): 283-290.
[5] JENSEN E A, HANSEN W. Crack resistance of jointed plain concrete pavements[J]. Transportation Research Record, 2002(1809): 60-65.
[6] IOANNIDES A M, PENG Jun, SWINDLER JR J R. ABAQUS model for PCC slab cracking[J]. International Journal of Pavement Engineering, 2006, 7(4): 311-321.
[7] GAEDICKE C, ROESLER J,SHAH S. Fatigue crack growth prediction in concrete slabs[J]. International Journal of Fatigue, 2009, 31: 1309-1317.
[8] AMERI M, MANSOURIAN A, KHAVAS M H, et al.
Cracked asphalt pavement under traffic loading—a 3D finite element analysis[J]. Engineering Fracture Mechanics, 2011, 78(8): 1817-1826.
[9] LING Jian-ming, TAO Ze-feng, QIAN Jin-song, et al.
Investigation the influences of geotextile on reducing the thermal reflective cracking using XFEM[J]. International Journal of Pavement Engineering, 2018, 19(5): 391-398.
[10] JENQ Y, SHAH S P. Two parameter fracture model for
concrete[J]. Journal of Engineering Mechanics, 1985, 111(10): 1227-1241.
[11] BARENBLATT G I. The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks[J]. Journal of Applied Mathematics and Mechanics, 1959, 23(3): 622-636.
[12] BARENBLATT G I. The mathematical theory of equilibrium cracks in brittle fracture[J]. Advances in Applied Mechanics, 1962, 7: 55-129.
[13] HILLERBORG A, MODEER M, PETERSSON P E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J]. Cement and Concrete Research, 1976, 6(6): 773-781.
[14] BRINCKER R, DAHL H. Fictitious crack model of concrete fracture[J]. Magazine of Concrete Research, 1989, 41(147): 79-86.
[15] ULFKJæR J P, KRENK S, BRINCKER R. Analytical model for fictitious crack propagation in concrete beams[J]. Journal of Engineering Mechanics, 1995, 121(1): 7-15.
[16] ELICES M, GUINEA G V, GOMEZ J, et al. The cohesive zone model: advantages, limitations and challenges[J]. Engineering Fracture Mechanics, 2002, 69(2): 137-163.
[17] SONG S H, PAULINO G H, BUTTLAR W G. Simulation of crack propagation in asphalt concrete using an intrinsic cohesive zone model[J]. Journal of Engineering Mechanics, 2006, 132(11): 1215-1223.
[18] SONG S H, PAULINO G H, BUTTLAR W G. A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material[J]. Engineering Fracture Mechanics, 2006, 73(18): 2829-2848.
[19] ROESLER J, PAULINO G H, PARK K, et al. Concrete
fracture prediction using bilinear softening[J]. Cement and Concrete Composites, 2007, 29(4): 300-312.
[20] FERREIRA M D C, VENTURINI W S, HILD F. On the analysis of notched concrete beams: from measurement with digital image correlation to identification with boundary element method of a cohesive model[J]. Engineering Fracture Mechanics, 2011, 78(1): 71-84.
[21] KIM Y R. Cohesive zone model to predict fracture in bituminous materials and asphaltic pavements: state-of-the-art review[J]. International Journal of Pavement Engineering, 2011, 12(4): 343-356.
[22] 周正峰,蒲卓桁,刘 超.黏聚区模型在沥青路面反射裂缝模拟中的应用[J].交通运输工程学报,2018,18(3):1-10.
ZHOU Zheng-feng, PU Zhuo-heng, LIU Chao. Application of cohesive zone model to simulate reflective crack of asphalt pavement[J]. Journal of Traffic and Transportation Engineering, 2018, 18(3): 1-10.(in Chinese)
[23] ROESLERJ, PAULINO G, GAEDICKE C, et al. Fracture behavior of functionally graded concrete materials for rigid pavements[J]. Transportation Research Record, 2007(2037): 40-50.
[24] PARK K, PAULINO G H, ROESLER J R. Determination of the kink point in the bilinear softening model for concrete[J]. Engineering Fracture Mechanics, 2008, 75(13): 3806-3818.
[25] PARK K, PAULINO G H, ROESLER JR. Cohesive fracture model for functionally graded fiber reinforced concrete[J]. Cement and Concrete Reseach, 2010, 40: 956-965.
[26] GAEDICKE C, ROESLER J. Fracture-based method to
determine flexural capacity of concrete beams on soil[J]. Road Materials and Pavement Design, 2010, 11(2): 361-385.
[27] GAEDICKE C, ROESLER J, EVANGELISTA JR F. Three-dimensional cohesive crack model prediction of the flexural capacity of concrete slabs on soil[J]. Engineering Fracture Mechanics, 2012, 94: 1-12.
[28] 管俊峰,卿龙邦,赵顺波.混凝土三点弯曲梁裂缝断裂全过程数值模拟研究[J].计算力学学报,2013,30(1):143-148,155.
GUAN Jun-feng, QING Long-bang, ZHAO Shun-bo. Research on numerical simulation on the whole cracking processes of three-point bending notch concrete beams[J]. Chinese Journal of Computational Mechanics, 2013, 30(1): 143-148, 155.(in Chinese)
[29] LU W Y, HU S W. Effect of large crack-depth ratio on three-point bending concrete beam with single edge notch[J]. Materials Research Innovations, 2015, 19(S8): 312-317.
[30] CAMANHO P P, DAVILA C G. Mix-mode decohesion finite elements for the simulation of delamination in composite materials[R]. Washington DC: NASA, 2002.