Trace theory applied to composite analysis: A comparison with micromechanical models

Vignoli, Lucas L.; Neto, Ranulfo Martins Carneiro; Savi, Marcelo A.; Pacheco, Pedro Manuel Calas Lopes; Kalamkarov, Alexander L.

doi:10.1016/j.coco.2021.100715

Cited by 19 publications

(6 citation statements)

References 12 publications

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“…Tsai’s modulus has been used by many researchers due to its simplicity and efficiency. 20,21 The main motivation for its application is to reduce costs and time for composite design, diminishing the number of experimental tests required to accomplish this objective. In this methodology, just one macromechanical elastic property is required, usually the longitudinal elastic modulus, E1.…”

Section: Analytical Modelmentioning

confidence: 99%

Damage tracking of notched composite plates by thermography—Experimental observations and analytical model for damage onset

Kenedi

Vignoli

Duarte

et al. 2022

Journal of Composite Materials

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The thermographic approach is a non-contact/full field technique that can be used to recognize surface damages that generates small sudden heatings. The load monitoring can be used, associated with thermography, to quantify the resistance loss synchronized with surface localized temperature changes. An experimental arrangement was set up to test notched composites specimens subjected to progressive axial load, up to the final failure. The results show that the utilization of the passive thermography, together with the resistance curves, as complementary procedure, can become a helpful tool to evaluate damage tolerance for design of composite applications. Additionally, an analytical model was proposed to estimate damage onset, resulting in good agreements with thermography first heating event.

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Section: Analytical Modelmentioning

confidence: 99%

Damage tracking of notched composite plates by thermography—Experimental observations and analytical model for damage onset

Kenedi

Vignoli

Duarte

et al. 2022

Journal of Composite Materials

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“…17 Many theoretical, semi-empirical, empirical, and numerical models have been presented until today (Einstein), 18 Voigt (RoM), 19 Reus (iRoM), 20 Halpin-Tsai, [21][22][23] Chamis, 24 Papanikolaou, 25 Hashin-Rosen, 26 Chistensen, 27,28 Self Consistent, 29,30 and many others. [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] The most used of these models (RoM, iRoM, and Chamis) are not accurate enough and not able to adapt to changes, (e.g., different size, shape, and nature of the reinforcement, different interphase interactions, etc. ), while others are able to provide accurate predictions but need at least two experimental points for the calculations.…”

Section: Introductionmentioning

confidence: 99%

The exponential model versus a modified Chamis model and applications to sustainable particulate composites

Anastasiou

2023

J of Applied Polymer Sci

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The Exponential model is introduced to predict the modulus of particulate or short‐fiber reinforced composites. The model allows the prediction of Young's modulus, bending modulus, shear modulus, and bulk modulus in a series of composites from a single experimental point. Subsequently, a modification of the widely used Chamis model is introduced, also allowing the prediction of particulate composite moduli from a single experimental point. The predictions of each model are compared with original experimental data derived from tension tests on sustainable and bio‐based composites, covering common cases of thermosets and thermoplastics, as well as different chemical treatments and sizes of the reinforcing materials, and are plotted against the predictions of the rule of mixtures, the inverse rule of mixtures and the Chamis model. Two different matrices (PLA and Ecopoxy) and six different reinforcements (chemically treated and untreated Luffa cylindrica short fibers, acetylated and untreated cotton flocks, and olive pits of 1–5 μm or 50–150 μm diameter) are used. The comparisons show that both the proposed models are capable of achieving much higher prediction accuracy (2.28–59.51 times less root mean square error) than the three models already in use, and easily adapting to the matrix and/or reinforcement changes.

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Section: Introductionmentioning

confidence: 99%

“…29 Some efforts also can be found in the literature to extend Tsai’s modulus for laminates with other fibers. 30–32…”

Section: Introductionmentioning

confidence: 99%

“…This innovative proposal has become popular, indicating good reliability compared with experimental data 28 and theoretical approaches. 29 Some efforts also can be found in the literature to extend Tsai's modulus for laminates with other fibers. [30][31][32] Concerning the trial to obtain explicit relations between lamina strengths, the most promising way to decrease experimental tests is to relate S s 23 with S t 22 and S c 22 .…”

Section: Introductionmentioning

confidence: 99%

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Is the out-of-plane shear strength an independent property? A micromechanical perspective about a macromechanical question

Vignoli

2023

Journal of Composite Materials

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For unidirectional laminae, five elastic properties and six strengths are usually required. The goal of this paper is to evaluate if the out-of-plane shear strength is really an independent property or if it is somehow related to the transversal tensile and compressive strengths. The analytical VSPKc micromechanical model is used to derive closed-form relations. Fiber-matrix interface failure due to normal and shear interface tractions is evaluated considering a perfectly brittle behavior. The proposed model is compared with four analytical models from the literature and their estimations are verified against six experimental data. The relations proposed obtained the best results compared with the experimental data, with an average error equal to 8.84%, while the error using the second-ranked model is 17.40%, indicating with good reliability that the out-of-plane shear strength is not an independent property.

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Trace theory applied to composite analysis: A comparison with micromechanical models

Cited by 19 publications

References 12 publications

Damage tracking of notched composite plates by thermography—Experimental observations and analytical model for damage onset

Damage tracking of notched composite plates by thermography—Experimental observations and analytical model for damage onset

The exponential model versus a modified Chamis model and applications to sustainable particulate composites

Is the out-of-plane shear strength an independent property? A micromechanical perspective about a macromechanical question

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