Abstract
Westergaard (1939) gave the first solution to the problem of a Mode I crack in an elastic medium. He admits infinite stresses (stress singularity) at the crack tip, introducing the concept of stress intensity factors as a measure of stress field severity. This theory was called Linear Elastic Fracture Mechanics (L.E.F.M.).
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References
Aassved Hansen, E. (1991) Influence of sustained load on the fracture energy and the fracture zone of concrete, in van Mier J.G.M., Rots J.G., Bakker A. (eds.) R.I.L.E.M./E.S.I.S. Conference on Fracture Processes in Brittle Disordered Materials: Concrete, Rock, Ceramics, E&FN SPON, 829–838.
Barenblatt, G.I. (1959) The formation of equilibrium cracks during brittle fracture: general ideas and hypotheses. Axially-symmetric cracks, Journal of Applied Mathematics and Mechanics, 23, 622–636.
Barpi, F. and Valente, S. (1996) Time induced crack propagation in concrete structures: cohesive crack model in mixed-mode conditions, Politecnico di Torino, Structural Engineering Department, Research Report A845/95.
Barpi, F. and Valente, S. (1998) Size-effects induced bifurcation phenomena during multiple cohesive crack propagation, International Journal of Solids and Structures, 35, 1851–1861.
Bazant, Z.P. and Gettu, R. (1992) Rate effects and load relaxation in static fracture of concrete, A.C.I. Materials Journal, 89, 456–468.
Bazant, Z.P. and Xiang, Y. (1997) Crack growth and lifetime of concrete under long time loading, Journal of Engineering Mechanics, 4, 350–358.
Bocca, P., Carpinteri, A. and Valente, S. (1991) Mixed-mode fracture of concrete, International Journal of Solids and Structures, 27, 1139–1153.
Carpinteri, A. (1985) Interpretation of the Griffith instability as a bifurcation of the global equilibrium, in Shah S.P. (ed.) N.A.T.O.-Advanced Research Workshop on Application of Fracture Mechanics to Cementitious Composites, Martinus Nijhoff Publishers, 287–316.
Carpinteri, A. and Valente, S. (1988) Size-scale transition from ductile to brittle failure: a dimensional analysis approach, in Mazars J. and Bazant Z.P. (eds.) C.N.R.S.-N.S.F. Workshop on Strain Localisation and Size Effect due to Cracking and Damage, Elsevier Applied Science, 477–490.
Carpinteri, A., Valente, S., Zhou, F.P., Ferrara, G. and Melchiorri, G. (1995) Crack propagation in concrete specimens subjected to sustained loads, in Wittmann F.H. (ed.) Fracture Mechanics of Concrete Structures, Aedificatio, 1315–1328.
Dugdale, D.S. (1960) Yielding of steel sheets containing slits, Journal of Mechanics and Physics of Solids, 8, 100–104.
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, Cement and Concrete Research, 6, 773–782.
Karihaloo, B. (1995) Fracture Mechanics and Structural Concrete, Longman Scientific and Technical.
Petersson, P.E. (1981) Crack growth and development of fracture zones in plain concrete and similar materials, Doctoral Thesis Report TVBM-1006, Division of Building and Materials, University of Lund, Sweden.
Reinhardt, H.W. and Cornellissen, H.W.A. (1985) Sustained tensile tests on concrete, Baustoff, 85, 162–167.
Rots, J.G., Hordijk, D.A. and de Borst, R. (1987) Numerical simulation of concrete fracture in direct tension, in 4 th International Conference on Numerical Methods in Fracture Mechanics, Pineridge Press, 457–471.
Valente, S. (1991) Influence of friction on cohesive crack propagation, in van Mier J.G.M., Rots J.G., Bakker A. (eds.) R.I.L.E.M./E.S.I.S. Conference on Fracture Processes in Brittle Disordered Materials: Concrete, Rock, Ceramics, E&FN SPON, 695–704.
Valente, S. (1992) Bifurcation phenomena in cohesive crack propagation, Computers and Structures, 441/2, 55–62.
Valente, S. (1993) Heuristic softening strip model in the prediction of crack trajectories, Theoretical and Applied Fracture Mechanics, 19, 119–125.
Valente, S., Barpi, F., Ferrara, G. and Giuseppetti, G. (1994) Numerical simulation of centrifuge tests on pre-notched gravity dam models, in Bourdarot E., Mazars J., Saouma V. (eds.) Workshop on Dam Fracture and Damage, Balkema, 111–119.
Westergaard, H.M. (1939), Bearing pressures and cracks, Journal of Applied Mechanics, 6, 49–53.
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Barpi, F., Valente, S., Chille’, F., Imperato, L. (1999). Creep Induced Cohesive Crack Propagation in Mixed Mode. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_15
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DOI: https://doi.org/10.1007/978-94-011-4736-1_15
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