Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites

Garoz, D.; Gilabert, F.A.; Sevenois, Ruben; Spronk, Siebe; Paepegem, Wim Van

doi:10.1016/j.compositesb.2018.12.023

Cited by 86 publications

(38 citation statements)

References 34 publications

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“…Besides, within the frame of the first-order computational homogenization, the homogenized strain is equal to the macro-strain of the dummy node. It is worth noting that the non-linear displacements within the RVE, such as the interface debonding when it fails, is taken into consideration application of PBCs introduces some constraints and limitations regarding the periodicity of the results, which means the damage created within the RVE represents a periodic damage instead of a local defect [39].…”

Section: Computational Micromechanics Modellingmentioning

confidence: 99%

“…Same as the uniaxial loading conditions, the axial components in the other two directions are set free. More details about the implication of the PBC on the RVE is found in[39].3. Assessment of the mechanical response of the RVE under uniaxial loading conditionsBefore the prediction of the damage mode and envelop of the unidirectional RVE under biaxial stress states is conducted, an assessment of the RVE model, with a reasonable fine mesh, appropriate boundary condition and material properties, is required.…”

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confidence: 99%

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Computational micromechanics-based prediction of the failure of unidirectional composite lamina subjected to transverse and in-plane shear stress states

Wan

Ismail²,

Zhu

et al. 2020

Journal of Composite Materials

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This paper presents a micromechanics-based 3D finite element model for predicting the damage initiation, propagation, and failure strength of TC33/Epoxy carbon fiber reinforced polymer (CFRP) unidirectional lamina under biaxial loadings. The finite element model is generated by introducing representative volume element (RVE) with a random distribution of fibers and a non-zero thickness, numerically identified interface phase via cohesive elements. In the finite element model, the carbon fibers are considered as elastic, while the elasto-plastic behavior and damage of the matrix are governed by extended Drucker–Prager plastic yielding model and ductile damage criterion. By imposing periodic boundary conditions to the RVEs, various cases subjected to uniaxial and biaxial loading conditions are carried out. During the combined transverse and in-plane shear stress states, a failure transition from compression- or tension-dominated to shear-dominated is captured, and the effects of the interfacial strength on the transition damage mechanisms are discussed. The corresponding failure locus is compared with the upper bound and lower bound predictions of three phenomenological failure criteria (Hashin, Tasi–Wu, and Puck failure criteria) for composites. It was found that in the interface-dominated failure of a CFRP lamina with a weak interface, the Hashin failure criterion performs best among the currently popular failure criteria. However, in the matrix-dominated failure with a strong interface, the Puck failure criterion performs best. Comparing these three criteria, it can be seen the Tsai–Wu may be generally better than both of others as it presents more neutral predictions in both of the examined cases.

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Section: Computational Micromechanics Modellingmentioning

confidence: 99%

mentioning

confidence: 99%

Computational micromechanics-based prediction of the failure of unidirectional composite lamina subjected to transverse and in-plane shear stress states

Wan

Ismail²,

Zhu

et al. 2020

Journal of Composite Materials

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“…A unit cell similar to that considered in section (2.3), was considered and discretized into finite elements where traction free conditions on the crack surfaces were enforced. In order to consider any state of applied far-field strain/stress as out-ofplane shear loads, periodic boundary conditions for all faces in the three dimensions were implemented [24]. The procedure of applying FEM and the formulation of periodic boundary conditions are already described in Ref.…”

Section: Finite Element Modeling Of Uniform Ply Cracking Under Out-ofmentioning

confidence: 99%

“…The procedure of applying FEM and the formulation of periodic boundary conditions are already described in Ref. [24] and the reader should refer to this publication for more details. The convergence study for the FEM models was performed and very refined meshes were used at locations close to the crack tips and ply interfaces.…”

Section: Finite Element Modeling Of Uniform Ply Cracking Under Out-ofmentioning

confidence: 99%

Model to accurately predict out-of-plane shear stiffness reduction in general cracked laminates

Hajikazemi

Garoz

Paepegem

2019

Composites Science and Technology

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The practically important problem of the modification of laminate out-of-plane shear stiffness by ply cracks is hardly investigated in the literature. In this paper, out-of-plane shear stiffness reduction of laminates containing uniform and non-uniform distributions of ply cracks is studied. A novel variational model is developed to determine accurately stress transfer mechanisms and consequently out-of-plane shear stiffness reduction of general cracked laminates under applied out-of-plane shear loads. It is shown that the presence of ply cracks in a laminate under out-ofplane shear loads, perturbs the uniform distribution of shear stresses and induces high gradients of in-plane stresses leading to large shear stiffness reductions. The results are compared with those of the finite element method (FEM) implementing periodic boundary conditions. It is shown that there is excellent accordance between the results obtained from these approaches. The outcome of the paper provides necessary information for determination of damage-based constitutive laws for composites.

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“…It is verified that a global element size of 0. for the RVE. Periodic Boundary Conditions (PBCs) [49] are applied between the three pairs of parallel faces of the geometry. The homogenized elastic properties are obtained by imposing 6 load cases, three longitudinal and three shear strains (ε 11 , ε 22 , ε 33 , ε 23 , ε 13 , ε 12 ), as macro-strains via the PBCs.…”

Section: Micro-mechanical Model Based On Finite Elementsmentioning

confidence: 99%

Multiscale approach for identification of transverse isotropic carbon fibre properties and prediction of woven elastic properties using ultrasonic identification

Sevenois

Garoz

Verboven

et al. 2018

Composites Science and Technology

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In this work the possibility to reverse engineer the transverse isotropic carbon fibre properties from the 3D homogenized elastic tensor of the UD ply for the prediction of woven ply properties is explored. Ultrasonic insonification is used to measure the propagation velocity of both the longitudinally and transversally polarized bulk waves at various symmetry planes of a unidirectional (UD) Carbon/Epoxy laminate. These velocities and the samples' dimensions and density are combined to obtain the full 3D orthotropic stiffness tensor of the ply. The properties are subsequently used to reverse engineer the stiffness tensor, assumed to be transversely isotropic, of the carbon fibres. To this end, four micro-scale homogenization methods are explored: 2 analytical models (Mori-Tanaka and Mori-Tanaka-Lielens), 1 semi-empirical (Chamis) and 1 finite-element (FE) homogenization (randomly distributed fibres in a Representative Volume Element). Next, the identified fibre properties are used to predict the elastic parameters of UD plies with multiple fibre volume fractions. These are then used to model the fibre bundles (yarns) in a meso-scale FE model of a plain woven carbon/epoxy material. Finally, the predicted elastic response of the woven carbon/epoxy is compared to the experimentally obtained elastic stiffness tensor. The predicted and measured properties are in good agreement. Some discrepancy exists between the ultrasonically measured value of the Poisson's ratio and the predicted value.Nonetheless, it is shown that virtual identification and prediction of mechanical properties for woven plies is feasible.

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Consistent application of periodic boundary conditions in implicit and explicit finite element simulations of damage in composites

Cited by 86 publications

References 34 publications

Computational micromechanics-based prediction of the failure of unidirectional composite lamina subjected to transverse and in-plane shear stress states

Computational micromechanics-based prediction of the failure of unidirectional composite lamina subjected to transverse and in-plane shear stress states

Model to accurately predict out-of-plane shear stiffness reduction in general cracked laminates

Multiscale approach for identification of transverse isotropic carbon fibre properties and prediction of woven elastic properties using ultrasonic identification

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