COD-based simulation of transverse cracking and stiffness reduction in [S/90n]s laminates

Joffe, Roberts; Krasņikovs, Andrejs; Vārna, Jānis

doi:10.1016/s0266-3538(00)00172-x

Cited by 114 publications

(66 citation statements)

References 28 publications

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“…It means that the COD and CSD of interacting cracks are smaller than for non-interactive cracks. This effect was found experimentally in [11] and analyzed theoretically in [14].…”

Section: Introductionsupporting

confidence: 53%

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Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Vārna¹

2008

Composites Science and Technology

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“…It means that the COD and CSD of interacting cracks are smaller than for non-interactive cracks. This effect was found experimentally in [11] and analyzed theoretically in [14].…”

Section: Introductionsupporting

confidence: 53%

“…According to shear lag models the local stress distribution is described hyperbolic functions. Using the relationship between stress perturbations and the average normalized COD [14,17] the interaction function according to the shear lag model is…”

Section: Appendix 2 Interaction Functionmentioning

confidence: 99%

Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Vārna¹

2008

Composites Science and Technology

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“…The picture clearly shows that the model is flexible for stacking more arbitrary ply orientations than those presented previously. For the sake of comparison against previous shown models, the basic cell used for simulations shown in Section 3 is also cross-ply [24], Figure 3(b); nevertheless, in this section the general case is described in order to discuss all the innovations the SDM model poses.…”

Section: Mccartney Methodmentioning

confidence: 99%

“…These models are based on updating stiffness matrices in function of crack opening displacement (COD) or density. Their scheme may be iterative, such as the so-called self-consistent methods [19,20] and the proposed by Barbero [21][22][23], or departing from an initial set of real-life [24] or virtual finite element simulations such as the Synergistic Damage Mechanics (SDM) model presented by Singh and Talreja [25][26][27], which expanded the scope of micromechanical modelling to laminates other than cross-ply.…”

Section: Introductionmentioning

confidence: 99%

Micromechanics of Cracked Laminates under Uniaxial Load: A Comparison between Approaches

Rivera-Santana

Guevara-Morales

Figueroa-López

2017

Advances in Materials Science and Engineering

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This paper compares stiffness degradation models of cross-ply glass fiber/epoxy laminates based on four of the most commonly used approaches to micromechanical modelling: shear-lag, variational, McCartney, and synergistic damage mechanics (SDM). All of these include the process of defining [0/90] s laminate unit cell, from which governing differential equations and corresponding boundary conditions are stated. Afterwards, these boundary value problems (BVP) are solved in order to obtain a stress function which couples the initial and perturbation stresses, the latter being in function of crack density, thus related to material stiffness reduction. When compared against experimental results, shear-lag model presented accurate results however, additional differentiation and integration steps were required in order to obtain the final stress field. Hashin's variational method predicts correctly the boundary conditions at crack surfaces and gives out the complete stress field. McCartney's approach shows further improvement over the previous two models, taking into account thermal strains and stresses. Finally, SDM, which is designed for numerical experimentation, implying a more economical alternative in comparison to traditional physical experimentation, also presented very good agreement with experimental results and can be extended to arbitrary laminate stackings, going beyond the classical cross-ply.

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“…The overwhelming majority of studies investigating the behavior and properties of composite laminates with matrix cracks assume that cracks are equally spaced [10]. Such a deterministic approach, which ignores the fact that transverse cracking is a progressive damage mode, predicts the appearance of many transverse cracks simultaneously when the first transverse cracking strain is reached [11]. In fact, the transverse matrix cracking is an inherently stochastic process due to the random variations of the local material properties of the plies caused by inner original defects [12].…”

Section: Introductionmentioning

confidence: 99%

Statistical Analysis of the Progressive Failure Behavior for Fiber-Reinforced Polymer Composites under Tensile Loading

2014

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An analytical approach with the help of numerical simulations based on the equivalent constraint model (ECM) was proposed to investigate the progressive failure behavior of symmetric fiber-reinforced composite laminates damaged by transverse ply cracking. A fracture criterion was developed to describe the initiation and propagation of the transverse ply cracking. This work was also concerned with a statistical distributions of the critical fracture toughness values with due consideration given to the scale size effect. The Monte Carlo simulation technique coupled with statistical analysis was applied to study the progressive cracking behaviors of composite structures, by considering the effects of lamina properties and lay-up configurations. The results deduced from the numerical procedure were in good agreement with the experimental results obtained for laminated composites formed by unidirectional fiber reinforced laminae with different orientations.

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COD-based simulation of transverse cracking and stiffness reduction in [S/90n]s laminates

Cited by 114 publications

References 28 publications

Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates

Micromechanics of Cracked Laminates under Uniaxial Load: A Comparison between Approaches

Statistical Analysis of the Progressive Failure Behavior for Fiber-Reinforced Polymer Composites under Tensile Loading

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