Size effect in single layer graphene sheets and transition from molecular mechanics to continuum theory

Pelliciari, Matteo; Pasca, Dag Pasquale; Aloisio, Angelo; Tarantino, Angelo Marcello

doi:10.1016/j.ijmecsci.2021.106895

Cited by 17 publications

(11 citation statements)

References 64 publications

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“…In order to confirm the results provided from SAC tests, a standard test (ASTM 1074) was performed to determine the value of E a ; see Figure 3 . In such a figure, dashed lines denote linear fits of the experimental data (for advanced fitting procedures see, e.g., [ 44 , 45 ]). The standard procedure recorded a E a value of 30.614 kJ/mol, in agreement with data found in the literature [ 19 , 20 ].…”

Section: Resultsmentioning

confidence: 99%

An Auto-Calibrating Semi-Adiabatic Calorimetric Methodology for Strength Prediction and Quality Control of Ordinary and Ultra-High-Performance Concretes

et al. 2021

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A timely knowledge of concrete and ultra-high-performance concrete (UHPC) strength is possible through the so-called strength-equivalent time (Et) curves. A timely knowledge of concrete strength is useful, for instance, to precisely determine when the shores of a hardening structural element can be safely removed. At the present time, the preparation of the strength-Et curves requires time-consuming and labor-intensive testing prior to the beginning of construction operations. This paper proposes an innovative method to derive the strength-Et and total heat-Et curves for both normal strength and UHPC. Results confirmed that the proposed method is fast, inexpensive, self-calibrating, accurate and can detect any variation of the concrete mix proportions or components quality. In addition, the quality of predictions of strength–maturity curves can be constantly improved as the specimens’ population increases. Finally, results obtained with the proposed method were compared with those obtained using standard methods, showing a good agreement.

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Section: Resultsmentioning

confidence: 99%

An Auto-Calibrating Semi-Adiabatic Calorimetric Methodology for Strength Prediction and Quality Control of Ordinary and Ultra-High-Performance Concretes

et al. 2021

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“…The most innovative and refined stored energy function for graphene was firstly introduced by Höller et al [11] by fitting density functional theory (DFT) simulations. Subsequent works [28,31] showed its validity and accuracy in the prediction of the graphene response subjected to large in-plane deformations. Therefore, we assume such hyperelastic material model for graphene.…”

Section: Hyperelastic Model For Circular Graphene Membranes Subjected...mentioning

confidence: 97%

A Continuum Model for Circular Graphene Membranes Under Uniform Lateral Pressure

Pelliciari

Tarantino²

2022

J Elast

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Despite the numerous applications of pressurized graphene membranes in new technologies, there is still a lack of accurate mechanical models. In this work we propose a continuum model for circular graphene membranes subjected to uniform lateral pressure. We adopt a semi-inverse method by defining the kinematics of deformation and we describe the material behavior with a stored energy function that takes into account both nonlinearity and anisotropy of graphene. From the equilibrium we obtain an expression of the applied pressure as a function of the deflection of the membrane. A finite element (FE) model in nonlinear elasticity is presented and the results are used to validate the analytical model. A comparison with other models, numerical simulations and experiments from the literature demonstrates the advantages of the model proposed in this work. Differently from our entirely nonlinear approach, all the continuum models in the literature are based on the assumption of linear elastic material, which is suitable only when deformations are small. The present model gives a comprehensive description of the mechanics of pressurized graphene membranes.

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“…where G (i) , for i = 1, 2, represent the two shear moduli, which can be expressed as a function of the other two mechanical constants E (i) and ν (i) [22,23].…”

Section: Mori-tanaka Homogenization Proceduresmentioning

confidence: 99%

Multi-phase homogenization procedure for estimating the mechanical properties of shot-earth materials

Bacciocchi

Savino

Lanzoni

et al. 2022

Composite Structures

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Size effect in single layer graphene sheets and transition from molecular mechanics to continuum theory

Cited by 17 publications

References 64 publications

An Auto-Calibrating Semi-Adiabatic Calorimetric Methodology for Strength Prediction and Quality Control of Ordinary and Ultra-High-Performance Concretes

An Auto-Calibrating Semi-Adiabatic Calorimetric Methodology for Strength Prediction and Quality Control of Ordinary and Ultra-High-Performance Concretes

A Continuum Model for Circular Graphene Membranes Under Uniform Lateral Pressure

Multi-phase homogenization procedure for estimating the mechanical properties of shot-earth materials

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