Numerical simulations of quasibrittle fracture processes using the discrete cohesive crack model

International Journal of Mechanical Sciences

Volumn 42, Issue 2, 2000, Pages 367-379

  Tin Loi, F ^a   Li, H ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; FRACTURE MECHANICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; TENSILE PROPERTIES; TRACTION (FRICTION);

DISCRETE COHESIVE CRACK MODEL; FRACTURE ACTIVATION; NONLINEAR SOFTENING LAW; QUASIBRITTLE FRACTURE PROCESSES; THREE POINT BENDING PROBLEM; TWO NOTCH TENSILE PROBLEM;

BRITTLENESS;

EID: 0034140353     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(98)00115-5     Document Type: Article

References (16)

1. Wittmann, FH, editor. Fracture Mechanics of Concrete Structures. Freiburg, Germany: Aedificatio Publishers, 1995.
2. Dugdale DS. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 1960;8:100-4.
3. Barenblatt, GI. The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 1962;7:55-129.
4. Hillerborg A, Modeer M, Petersson PE. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 1976;6:773-82.
5. Harder NA, Computer simulated crack propagation in concrete. In: Firrao D, editor. Fracture Behaviour and Design of Materials and Structures. London, Chameleon Press, 1990;706-14.
6. Liang RY, Li, YN. Simulations of nonlinear fracture process zone in cimentitious material - A boundary element approach. Computational Mechanics 1991;7:413-27.
7. Liang RY, Li YN. Study of size effect in concrete using fictitious crack model. Journal of Engineering Mechanics ASCE 1991;117:1631-51.
8. Cen Z, Maier G. Bifurcations and instabilities in fracture of cohesive-softening structures: A boundary element analysis. Fatigue and Fracture of Engineering Materials and Structures 1992;15:911-28.
9. Tin-Loi F, Ferris MC. Holonomic analysis of quasibrittle fracture with nonlinear softening. In: Karihaloo BL, Mai YW, Ripley MI, Ritchie RO, editors. Advances in Fracture Research. Oxford: Pergamon Press, 1997:2183-90.
10. Maier G, Frangi A. Symmetric boundary element method for discrete crack modelling of fracture processes. Computer Assisted Mechanics and Engineering Science, forthcoming.
11. Bolzon G, Maier G, Tin-Loi F. Holonomic and nonholonomic simulations of quasi-brittle fracture: A comparative study of mathematical programming approaches. In: Wittmann FH, editor. Fracture Mechanics of Concrete Structures. Freiburg, Germany: Aedificatio Publishers, 1995:885-98.
12. Bolzon G, Maier G, Tin-Loi F. On multiplicity of solutions in quasi-brittle fracture computations. Computational Mechanics 1997;19:511-6.
13. Maier G. A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes. Meccanica 1997;5:121-30.
14. Maier G, Cen Z, Novati G, Tagliaferri R. Boundary element analysis of crack propagation in elastic cohesive-softening solids. In: van Mier JGM, Rots JG, Bakker A, editors. Fracture Processes in Concrete. Rock and Ceramics. London: E&FN Spon, 1991:561-70.
15. Banerjee PK. The Boundary Element Methods in Engineering. London: McGraw-Hill, 1993.
16. Dirkse SP, Ferris MC. The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems. Optimization Methods and Software 1995;5:123-56.