A Quasi-Static Model for Craquelure Patterns

Negri, Matteo

doi:10.1007/978-3-030-58077-3_10

Cited by 3 publications

(4 citation statements)

References 16 publications

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“…The obtained results offer new insights for further investigations. The 2D numerical investigations presented in Alessi and Freddi, 16 where the complex failure modes of hybrid laminates are consistently reproduced, suggest to extend the theoretical investigation to higher dimensional settings whereby the introduction of the anisotropic behaviour of materials allows the analysis of problems of interest for the conservation of cultural heritage 17,41 and other microcracking phenomena such 42 . A second line of exploration could also be the analysis of the problem in case of complete damage, meant as complete loss of material stiffness.…”

Section: Discussionmentioning

confidence: 99%

“…The model, suitably extended to anisotropic materials and/or curvilinear geometries, can be an extremely powerful tool to analyse craquelure phenomena in artworks as preliminarily highlighted in Negri. 17 In the quasi-static setting, a huge variety of notions of solution can be considered (see, for instance, the monograph 18 ). In this paper, we focus our attention on the concept of energetic evolution, based on two ingredients: at every time the solution is a global minimiser of the involved total energy, and the sum of internal and dissipated energy balances the work done by the external prescribed displacement.…”

Section: Introductionmentioning

confidence: 99%

“…The experimental evidences have been successfully replicated in 1D and 2D settings. The model, suitably extended to anisotropic materials and/or curvilinear geometries, can be an extremely powerful tool to analyse craquelure phenomena in artworks as preliminarily highlighted in Negri 17 …”

Section: Introductionmentioning

confidence: 99%

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On a phase‐field model of damage for hybrid laminates with cohesive interface

Bonetti

Cavaterra

Freddi

et al. 2021

Math Methods in App Sciences

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In this paper, we investigate a rate‐independent model for hybrid laminates described by a damage phase‐field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one‐dimensional set‐up. For the analysis, we adopt the notion of energetic evolution, based on global minimisation of the involved energy. Due to the presence of the cohesive zone, as already emerged in literature, compactness issues lead to the introduction of a fictitious variable replacing the physical one which represents the maximal opening of the interface displacement discontinuity reached during the evolution. A new strategy which allows to recover the equivalence between the fictitious and the real variable under general loading–unloading regimes is illustrated. The argument is based on time regularity of energetic evolutions. This regularity is achieved by means of a careful balance between the convexity of the elastic energy of the layers and the natural concavity of the cohesive energy of the interface.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On a phase‐field model of damage for hybrid laminates with cohesive interface

Bonetti

Cavaterra

Freddi

et al. 2021

Math Methods in App Sciences

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“…Following the gradient low of an energy while ignoring inertia efects is called viscosity dynamics. When used in connection with boundary conditions or other parameters that change in time the resulting dynamics is referred to as quasi-static viscosity evolution, which has been used for modeling plastic elasticity and fracture [Toader and Zanini 2009;Hahn and Wojtan 2015;Negri 2021]. In our context this provides a simple technique for introducing dynamics into simulations (Fig.…”

Section: Twistmentioning

confidence: 99%

Filament based plasma

et al. 2022

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Simulation of stellar atmospheres, such as that of our own sun, is a common task in CGI for scientific visualization, movies and games. A fibrous volumetric texture is a visually dominant feature of the solar corona---the plasma that extends from the solar surface into space. These coronal fibers can be modeled as magnetic filaments whose shape is governed by the magnetohydrostatic equation. The magnetic filaments provide a Lagrangian curve representation and their initial configuration can be prescribed by an artist or generated from magnetic flux given as a scalar texture on the sun's surface. Subsequently, the shape of the filaments is determined based on a variational formulation. The output is a visual rendering of the whole sun. We demonstrate the fidelity of our method by comparing the resulting renderings with actual images of our sun's corona.

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