Investigation on Mixed-Mode Cohesive Crack in the Presence of Water Pressure for Interface between Dam and its Foundation

Abstract

Firstly the focus is put on the formulation of an holonomic (in the sense of plastic deformation theory) constitutive model for a mixed-mode cohesive interface crack at the interface of a concrete structure accounting for the influence of water pressure. Secondly, the consequent discretized formulation of piece-wise linear interface laws in terms of generalized variables and its formulation as a linear complementarity problem is presented. At the end of this paper, numerical analysis for mixed-mode cohesive fracture of a concrete-rock interface of a benchmark gravity dam is described.

Keywords

mixed-mode fracture cohesive crack interface dam engineering water pressure

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References

Bazant

Z.P.

Cedolin

(1991) Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories, Oxford University Press, Oxford, New York.

Bolzon

Maier

and Novati

(1994) “Some aspects of quasi-brittle fracture analysis as a linear complementarity problem”, Fracture and Damage in Quasibrittle Structures, Bazant

Z. P.

Bittnar

Jirasek

Mazars

, Eds., E & FN Spon, London, pp. 159–174.

Bolzon

Maier

and Tin-Loi

(1997) “On multiplicity of solutions in quasi-brittle fracture computations”, Computational Mechanics, Vol. 19, No. 3, pp. 511–516.

Bruhwiler

and Saouma

(1995a) “Water fracture interaction in concrete – Part I: Fracture properties”, ACI Mater. J., Vol. 92, No. 3, pp. 296–303.

Bruhwiler

and Saouma

(1995b) “Water fracture interaction in concrete-Part II: Hydrostatic pressure in cracks”, ACI Mater. J., Vol. 92, No. 4, pp. 383–390.

Carol

Prat

P.C.

and Lopez

C.M.

(1997) “Normal/shear cracking model: Application to discrete crack analysis”, J. Engng. Mech., ASCE, Vol. 123, No. 1, pp. 1–9.

Cocchetti

, (1998) Failure analysis of quasi-brittle and poroplastic structures with particular reference to gravity dams. PhD Thesis, Politecnico di Milano, Italy.

Cocchetti

Maier

and Shen

X.P.

(2002) “On piecewise linear models of interfaces and mixed mode cohesive cracks”, (accepted for publication by Computer Modelling in Engineering & Sciences).

Comi

Maier

and Perego

(1992) “Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables”, Comput. Meth. in Appl. Mech. and Engng., Vol. 96, No. 1, pp. 133–171.

10.

Dirkse

S.P.

and Ferris

M.C.

(1995) “The PATH solver: A non-monotone stabilisation scheme for mixed complementarity problems”, Optimization Methods & Software, No. 5, 123–156.

11.

Goodman

R.E.

Taylor

R.L.

and Brekke

T.L.

(1968) “A model for the mechanics of jointed rock”, Proc. ASCE, 94, SM3, 637–659.

12.

Guinea

G.V.

Planas

and Elices

(1994) “A general bilinear fit for the softening curve of concrete”, Materials and Structures, Vol. 27, No. 1, pp. 99–105.

13.

Hohnborg

J.M.

(1992) A Joint Element for the Nonlinear Dynamic Analysis of Arch Dams. Birkhaeuser Publishers Basel, Berlin.

14.

Karihaloo

B.L.

(1995) Fracture Mechanics and Structural Concrete, Longman Scientific & Technical, Harlow, Great Britain.

15.

Lofti

and Shing

(1994) “Interface model applied to fracture of masonry structures”, J. Engng. Mech., ASCE, Vol. 120, No. 1, pp. 63–80.

16.

Shen

Xinpu

(2001) “A piecewise linear elasto-plastic constitutive model for mixed mode interface cracks”, Chinese J. Geotech Engng(English article), Vol. 23, No. 2, pp. 250–256.