An Algorithm to compute damage from load in composites

Cyrille F. DUNANT , Stéphane P. A. BORDAS , Pierre KERFRIDEN , Karen L. SCRIVENER , Timon RABCZUK

Front. Struct. Civ. Eng. ›› 2011, Vol. 5 ›› Issue (2) : 180 -193.

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Front. Struct. Civ. Eng. ›› 2011, Vol. 5 ›› Issue (2) : 180 -193. DOI: 10.1007/s11709-011-0107-9
RESEARCH ARTICLE
RESEARCH ARTICLE

An Algorithm to compute damage from load in composites

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Abstract

We present a new method to model fracture of concrete based on energy minimisation. The concrete is considered on the mesoscale as composite consisting of cement paste, aggregates and micro pores. In this first step, the alkali-silica reaction is taken into account through damage mechanics though the process is more complex involving thermo-hygro-chemo-mechanical reaction. We use a non-local damage model that ensures the well-posedness of the boundary value problem (BVP). In contrast to existing methods, the interactions between degrees of freedom evolve with the damage evolutions. Numerical results are compared to analytical and experimental results and show good agreement.

Keywords

Concrete / damage / prediction / modelling / energy minimisation / ASR

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Cyrille F. DUNANT, Stéphane P. A. BORDAS, Pierre KERFRIDEN, Karen L. SCRIVENER, Timon RABCZUK. An Algorithm to compute damage from load in composites. Front. Struct. Civ. Eng., 2011, 5(2): 180-193 DOI:10.1007/s11709-011-0107-9

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References

[1]

Bazant Z P, Belytschko T. Wave propagation in a strain-softening bar: Exact solution. Journal of Engineering Mechanics, 1985, 111(3): 381-389

[2]

Bazant Z, Jirasek M. Non-local integral formulations of plasticity and damage: survey of process. Journal of Engineering Mechanics, 2002, 128(1): 1119-1149

[3]

Babuška I, Melenk I. Partition of unity method. International Journal for Numerical Methods in Engineering, 1997, 40(4): 727-758

[4]

Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601-620

[5]

Strouboulis T, Babuška I, Copps K. The design and analysis of the generalized finite element method.Computer Methods in Applied Mechanics and Engineering, 2000, 181(1-3): 43-69

[6]

Rabczuk T, Bordas S, Zi G. A three-dimensional meshfree method for continuous crack initiation, nucleation and propagation in statics and dynamics. Computational Mechanics, 2007, 40(3): 473-495

[7]

Bordas S, Rabczuk T, Zi G. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. International Journal of Solids and Structures, 2008, 75(5): 943-960

[8]

Bordas S, Duot M, Le P. A simple a posteriori error estimator for the extended finite element method. Communications in Numerical Methods in Engineering, 2007 (In press)

[9]

Stratonovitch R L. Derivation of irreversibility of thermodynamic processes from microscopic reversibility. Theoretical and Mathematical Physics, 1978, 36(1): 607-616

[10]

Simo J C, Hughes T J R. Computational Inelasticity,vol. 7. Springer, 1998.

[11]

Bažant Z P, Jirásek M. Nonlocal integral formulations of plasticity and damage: Survey of progress. Journal of Engineering Mechanics, 2002, 128(11): 1119

[12]

Francfort G A, Marigo J J. Revisiting brittle fracture as an energy minimisation problem. Journal of the Mechanics and Physics of Solids, 1998, 46(8): 1319-1342

[13]

Dunant C, Vinh P N, Belgasmia M, Bordas S, Guidoum A. Architecture tradeoffs of integrating a mesh generator to partition of unity enriched object-oriented finite element software. Revue Européenne de Mécanique Numérique, 2007, 16(2): 237-258

[14]

Bordas S, Nguyen V P, Dunant C, Nguyen-Dang H, Guidoum A. An extended finite element library. International Journal for Numerical Methods in Engineering, 2007, 71(6): 703-732

[15]

Ponce J M, Batic O R. Different manifestations of the alkali-silica reaction in concrete according to the reaction kinetics of the reactive aggregate. Cement and Concrete Research, 2006, 36(6): 1148-1156

[16]

Ben Haha M, Gallucci E, Guidoum A, Scrivener K L. Relation of expansion due to alkali silica reaction to the degree of reaction measured by sem image analysis. Cement and Concrete Research, 2007, 37(8): 1206-1214

[17]

Dunant C F, Scrivener K L. Micro-mechanical modelling of alkali silica-reaction-induced degradation using the amie framework. Cement and Concrete Research, 2010, 4(4): 517-525

[18]

Kawamura M, Iwahori K. Asr gel composition and expansive pressure in mortars under restraint. Cement and Concrete Composites, 2004, 26(1): 47-56

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