Analytical Solution of the 4ENF Test with Interlaminar Frictional Effects and Evaluation of Mode II Delamination Toughness

Int J Interact Des Manuf

Ruggiero

et al. 2019

Self Cite

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Section: Numerical Resultssupporting

confidence: 55%

Section: Description Of Materials Main Propertiesmentioning

confidence: 99%

Fatigue crack growth of new FML composites for light ship buildings under predominant mode II loading condition

Giallanza

Int J Interact Des Manuf

Ruggiero

et al. 2019

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“…The two sets of nodes can belong to the same element side or to different sides. The constitutive consistency condition requires a vector of damage increment Δ , as defined in Equation 54, generalized stress a and separation displacement , which has to verify the vector of violated consistency conditions in the whole interface element (a, , Δ ) = 0, defined in Equation (56). This solution also has to verify Equation (66) of the HEE, for a known nodal displacement vector u, which can be written in the following residual form…”

Section: Damaging Loading Stepmentioning

confidence: 99%

“…Motivations of the different responses in the initial elastic branch between the numerical solutions and the analytical one are well known in literature (see References 16 and 56) and are due to the two different delamination conditions, based on the linear elastic fracture mechanics theory for the analytical solution, with an ideally brittle traction‐separation law, whereas in the CZMs, the delamination condition produces a bilinear response with a smooth transition from the elastic behavior to the fully debonded one. The maps of stress

σ_{x}

σ_{y}

and

σ_{x y}

, obtained by the HEE with embedded interface at four different loading conditions of imposed displacement u = 5, 10, 15, 20mm, are plotted in the deformed configuration in Figures 10 to 12.…”

Section: Numerical Simulationmentioning

confidence: 99%

Hybrid equilibrium element with interelement interface for the analysis of delamination and crack propagation problems

Numerical Meth Engineering

2020

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This article proposes a formulation for the analysis of delamination and fracture propagation problems at the interelement interface, with perfect adhesion at the pre-failure condition and with linear softening at the post-failure regime. The proposed formulation is based on the hybrid equilibrium element (HEE) model, with stress fields which strongly verify the homogeneous equilibrium equations and interelement equilibrium equations. The HEE can easily model high-order stress fields and can implicitly model the initially rigid behavior of an extrinsic interface at the element sides. The interface model is defined as a function of the same degrees of freedom of the HEE (generalized stresses) and the preand post-failure behavior of the interface can be modeled without any additional degree of freedom. The proposed formulation is developed for a nine-node triangular HEE with quadratic stress fields. This article also proposes an extrinsic cohesive model, rigorously developed in the damage mechanics framework.

“…Such a model is dened by a damage activation condition which depend on the separation displacement components. The analytical solution of the mode II fracture energy in the 4ENF test with frictional eects has been proposed in [27]. The frictional behaviour has been modelled in [13] through an elastic-plastic interface model in a multi-scale computational strategy for the analysis of masonry structures.…”

Section: Introductionmentioning

confidence: 99%

Non associative damage interface model for mixed mode delamination and frictional contact

European Journal of Mechanics - A/Solids

Borino

2019

The present paper proposes a new interface constitutive model based on the nonassociative damage mechanics and frictional plasticity. The model is developed in a thermodynamically consistent framework, with three independent damage variables. The non associative ow rules drive the concurrent evolution of the three damage variables. The interface model provides two independent values for the mode I fracture energy and the mode II fracture energy and it is able to accurately reproduce arbitrary mixed mode fracture conditions. The model can also take into account the presence of frictional eects both at the fully debonded zones and at the partially debonded ones. The experimental tests developed by Benzeggagh and Kenane with seven dierent mixed mode ratios have been numerically simulated with a unique set of constitutive parameters. The split shear torsion, for the evaluation of the mode III delamination toughness, has been analysed by a three-dimensional numerical simulation.