ABAQUS model for PCC slab cracking

References

• Aglan , H.A. and Figueroa , J.L. 1993 . Damage-evolution approach to fatigue cracking in pavements . J. Eng. Mech., ASCE , 119 ( 6 ) : 1243 – 1259 . New York, NY
   Web of Science ®Google Scholar
• Bache, H.H., Principles of similitude in design of reinforced brittle matrix composites, Presented at the International Workshop on High Performance Fiber Reinforced Cement Composites, Mainz, Germany, June 1991.
   Google Scholar
• Bache , H.H. and Vinding , I. 1990 . “ Fracture mechanics in design of concrete pavements ” . In Proceedings, Second International Workshop on the Design and Evaluation of Concrete Pavements , 139 – 164 . Sigüenza, Spain : CROW/PIARC . 4–5 October,
   Google Scholar
• Bažant , Z.P. 2002 . “ Concrete fracture models: testing and practice ” . In Engineering Fracture Mechanics , Vol. 69 , 165 – 205 . Amsterdam, The Netherlands : Elsevier Science Ltd. .
   Google Scholar
• Bažant , Z.P. and Planas , J. 1998 . “ Fracture and size effect in concrete and other quasibrittle materials ” . 616 Boca Raton, FL : CRC Press .
   Google Scholar
• Broek , D. 1986 . Elementary Engineering Fracture Mechanics , 516 Dordrecht, The Netherlands : Martinus Nijhoff Publishers . Fourth Revised Edition
   Google Scholar
• GTSTRUDL . 1993 . “ Finite element computer software system for structural analysis and design ” . In User's Manual , Atlanta, GA : Georgia Tech Research Corporation, Georgia Institute of Technology .
   Google Scholar
• Gustafsson, P.J., Fracture mechanics studies of non-yielding materials like concrete: modeling of tensile fracture and applied strength analysis, Report TVBM-1007, Division of Building Materials, University of Lund, Sweden, 1985.
   Google Scholar
• Hibbitt, Karlsson and Sorenson, Inc. 1994 . “ ABAQUS/standard user's manual ” . In General Purpose Finite Element Analysis Program Version 5.6, Pawtucket, RI
   Google Scholar
• Hillerborg , A. , Modeer , M. and Petersson , P.E. 1976 . Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements . Cem. Concr. Res. , 6 ( 6 ) : 773 – 792 .
   Google Scholar
• Ioannides , A.M. 1997a . “ Fracture mechanics in pavement engineering ” . In Transportation Research Record 1568 , 10 – 16 . Washington, DC : Transportation Research Board, National Research Council .
   Google Scholar
• Ioannides , A.M. 1997b . “ Pavement fatigue concepts: a historical review ” . In Proceedings of the Sixth International Purdue Conference on Concrete Pavement Design and Materials for High Performance Vol. 3 , 147 – 159 . Indianapolis, Indiana
   Google Scholar
• Ioannides , A.M. and Donnelly , J. 1988 . “ Three-dimensional analysis of slab on stress-.dependent foundation ” . In Transportation Research Record 1196 , 72 – 84 . Washington, DC : Transportation Research Board, National Research Council .
   Google Scholar
• Ioannides , A.M. and Peng , J. 2004 . “ Finite element simulation of crack growth in concrete slabs: implications for pavement design ” . In Proceedings, Fifth International Workshop on the Design and Rehabilitation of Concrete Pavements 56 – 68 . Istanbul, Turkey (April 1–2)
   Google Scholar
• Ioannides , A.M. and Sengupta , S. 2003 . “ Crack propagation in Portland cement concrete beams: implications for pavement design ” . In Transportation Research Record 1853 , 110 – 117 . Washington, DC : Transportation Research Board, National Research Council .
   Google Scholar
• Ioannides , A.M. , Peng , J. and Swindler , J.R. Jr . 2005 . “ Analysis of concrete fracture using ABAQUS ” . In Proceedings, 8th International Conference on Concrete Pavements Vol. 3 , 1138 – 1154 . Colorado Springs, CO, August
   Google Scholar
• Jenq , Y.-S. and Perng , J.-D. 1991 . “ Analysis of crack propagation in asphalt concrete using cohesive crack model ” . In Transportation Research Record 1317 , 90 – 99 . Washington, DC : Transportation Research Board, National Research Council .
   Google Scholar
• Kharlab , V.D. 1989 . “ Singular strength criteria ” . In Issledovaniya po Mekhanike Stroil'nykh Konstruktsii i Materialov , 58 – 63 . Leningrad : LISI . (in Russian)
   Google Scholar
• Kharlab , V.D. 1990 . “ On singular strength criteria ” . In Issledovaniya po Mekhanike Stroil'nykh Konstruktsii i Materialov , 82 – 85 . Leningrad : LISI . (in Russian)
   Google Scholar
• Kharlab , V.D. and Minin , V.A. 1989 . “ Strength criteria accounting for influence of stress state gradient ” . In Issledovaniya po Mekhanike Stroil'nykh Konstruktsii i Materialov , 53 – 57 . Leningrad : LISI . (in Russian)
   Google Scholar
• Khazanovich , L. and Ioannides , A.M. 1993 . “ Glasnost and concrete pavement engineering: insights concerning slabs-on-grade from the former Soviet Union ” . In Proceedings, Fifth International Conference on Concrete Pavement Design and Rehabilitation , Vol. 1 , 3 – 18 . West Lafayette, IN : Purdue University . (Apr. 20-22)
   Google Scholar
• Liu, P., Time-dependent fracture of concrete, PhD dissertation. Ohio State University, Columbus, Ohio, 1994.
   Google Scholar
• Lytton , R.L. and Shanmugham , U. 1982 . “ Analysis and design of pavements to resist thermal cracking using fracture mechanics ” . In Proceedings, 5th International Conference on Structural Design of Asphalt Pavements , Vol. 1 , 818 – 830 . Delft, The Netherlands : The University of Michigan .
   Google Scholar
• Majidzadeh , K. , Kauffmann , E.M. and Ramsamooj , D.V. 1971 . “ Application of fracture mechanics in the analysis of pavement fatigue ” . In Proceedings, AAPT Vol. 40 , 227 – 244 . Oklahoma City, OK, February, disc.: pp. 245-246
   Google Scholar
• Miner , M.A. 1945 . “ Cumulative damage in fatigue ” . In Transactions, American Society of Mechanical Engineers Vol. 67 , A-159 – A-164 . New York, NY, September
   Google Scholar
• Paris , P.C. and Erdogan , F. 1963 . A critical analyis of crack propagation laws . J. Basic Eng., Trans. ASME, Ser. D , 85 ( 4 ) : 528 – 553 .
   Google Scholar
• Petersson , P.E. 1981 . “ Crack growth and development of fracture zones in plain concrete and similar materials ” . In Report TVBM-1006 , Sweden : Division of Building Materials, University of Lund .
   Google Scholar
• Shah , S.P. , Swartz , S.E. and Ouyang , C. 1995 . Fracture Mechanics of Concrete , 552 New York, NY : John Wiley and Sons, Inc. .
   Google Scholar
• Siemes , A.J.M. 1982 . “ Miner's rule with respect to plain concrete variable amplitude tests ” . In Special Publication SP-75 , 343 – 372 . Ann Arbor, MI : American Concrete Institute .
   Google Scholar
• Westergaard , H.M. 1926 . Stresses in concrete pavements computed by theoretical analysis . Public Roads , 7 ( 2 ) : 25 – 35 .
   Google Scholar
• Westergaard , H.M. 1948 . New formulas for stresses in concrete pavements of airfields . ASCE Trans. , 113 : 425 – 439 .
   Google Scholar