Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens

Allix, Olivier; Corigliano, Alberto

doi:10.1007/bf00037233

Cited by 154 publications

(83 citation statements)

References 32 publications

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“…These procedures, which may be considered to stem from the work of Hilleborg [9], include the 'cohesive zone model' [10; 11]. In relation to the simulation of delamination, the method has often been applied in conjunction with interface elements [12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues

Alfano

Crisfield

2001

Numerical Meth Engineering

1,011

680

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SUMMARYThe ÿnite element analysis of delamination in laminated composites is addressed using interface elements and an interface damage law. The principles of linear elastic fracture mechanics are indirectly used by equating, in the case of single-mode delamination, the area underneath the traction=relative displacement curve to the critical energy release rate of the mode under examination. For mixed-mode delamination an interaction model is used which can fulÿl various fracture criteria proposed in the literature. It is then shown that the model can be recast in the framework of a more general damage mechanics theory. Numerical results are presented for the analyses of a double cantilever beam specimen and for a problem involving multiple delamination for which comparisons are made with experimental results. Issues related with the numerical solution of the non-linear problem of the delamination are discussed, such as the in uence of the interface strength on the convergence properties and the ÿnal results, the optimal choice of the iterative matrix in the predictor and the number of integration points in the interface elements.

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Section: Introductionmentioning

confidence: 99%

Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues

Alfano

Crisfield

2001

Numerical Meth Engineering

1,011

680

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“…It is thus recommend adjusting the shape of the CZM laws to conform to the behaviour of the thin material strip or interface they are simulating. Developed CZM include triangular [17], linear-parabolic [18], polynomial [19], exponential [20] and trapezoidal laws [21]. Thus, CZM can also be adapted to simulate ductile adhesive layers, whose behaviour can be approximated with trapezoidal laws [14].…”

Section: Introductionmentioning

confidence: 99%

Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer

Campilho

Banea

Neto

et al. 2013

International Journal of Adhesion and Adhesives

491

193

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Adhesively-bonded joints are extensively used in several fields of engineering. Cohesive Zone Models (CZM) have been used for the strength prediction of adhesive joints, as an add-in to Finite Element (FE) analyses that allows simulation of damage growth, by consideration of energetic principles. A useful feature of CZM is that different shapes can be developed for the cohesive laws, depending on the nature of the material or interface to be simulated, allowing an accurate strength prediction. This work studies the influence of the CZM shape (triangular, exponential or trapezoidal) used to model a thin adhesive layer in single-lap adhesive joints, for an estimation of its influence on the strength prediction under different material conditions. By performing this study, guidelines are provided on the possibility to use a CZM shape that may not be the most suited for a particular adhesive, but that may be more straightforward to use/implement and have less convergence problems (e.g. triangular shaped CZM), thus attaining the solution faster. The overall results showed that joints bonded with ductile adhesives are highly influenced by the CZM shape, and that the trapezoidal shape fits best the experimental data. Moreover, the smaller is the overlap length (LO), the greater is the influence of the CZM shape. On the other hand, the influence of the CZM shape can be neglected whe n using brittle adhesives, without compromising too much the accuracy of the strength predictions.

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“…It is worth recalling that also Alfano and Crisfield (2001) introduce a restriction to specialize the 2 damage parameters model of Crisfield and coworkers Mi et al (1998) to a 1 damage parameter model so as to achieve simultaneous complete debonding in mode I and II. Similarly, other authors (Allix and Corigliano, 1996;Corigliano, 1993) add this 'simultaneity' condition as a further constraint to the evolution equations. The second requirement for thermodynamic consistency is represented by the fulfillment of equation (28).…”

Section: Equivalent Displacement Functionmentioning

confidence: 99%

A thermodynamically consistent derivation of a frictional-damage cohesive-zone model with different mode I and mode II fracture energies

Serpieri¹,

Sacco²,

Alfano³

2015

European Journal of Mechanics - A/Solids

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The present paper deals with the derivation of an interface model characterized by macroscopic fracture energies which are different in modes I and II, the macroscopic fracture energy being the total energy dissipated per unit of fracture area.It is first shown that thermo-dynamical consistency for a model governed by a single damage variable, combined with the choice of employing an equivalent relative displacement and of a linear softening in the stress-relative displacement law, leads to the coincidence of fracture energies in modes I and II. To retrieve the experimental evidence of a greater fracture energy in mode II, a micro-structured geometry is considered at the typical point of the interface where a Representative Interface Element (RIE) characterized by a periodic arrangement of distinct inclined planes is introduced. The interaction within each of these surfaces is governed by a coupled damage-friction law.A sensitivity analysis of the correlation between micromechanical parameters and the numerically computed single-point microstructural response in mode II is reported. An assessment of the capability of the model in predicting different mixed mode fracture energies is carried out both at the single microstructural interface point level and with a structural example. For the latter a double cantilever beam with uneven bending moments has been analyzed and numerical results are compared with experimental data reported in the literature for 1 different values of mode mixity.

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Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens

Cited by 154 publications

References 32 publications

Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues

Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues

Modelling adhesive joints with cohesive zone models: effect of the cohesive law shape of the adhesive layer

A thermodynamically consistent derivation of a frictional-damage cohesive-zone model with different mode I and mode II fracture energies

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