A computational model for chemo-mechanical degradation of historical oil paintings due to metal soap formation

Eumelen, G.J.A.M.; Bosco, E.; Suiker, A.S.J.; Loon, Annelies van; Iedema, Piet D.

doi:10.1016/j.jmps.2019.103683

Cited by 23 publications

(46 citation statements)

References 46 publications

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“…The computational model proposed in [7] is based on the coupling between a diffusion-reaction model and a mechanical model. The framework allows to simulate the spatial growth of a metal soap crystal, and computes the corresponding stress and strain fields generated inside a paint layer.…”

Section: Chemo-mechanical Modelmentioning

confidence: 99%

“…Eumelen et al [7] have recently presented a computational multi-physics model to predict the chemo-mechanical degradation of historical oil paintings as a result of metal soap formation and growth. The methodology allows to describe the growth of a metal soap crystal and shows the associated crack formation, revealing that the amount of chemo-mechanical damage is significantly affected by the stiffness mismatch between the paint material and the metal soap, the fracture strength and toughness, the chemically-induced strain, and the reaction rate.…”

Section: Introductionmentioning

confidence: 99%

“…Two additional factors that may play a relevant role in determining the metal soap-induced fracture response of a painting are the concentration of saturated fatty acids, which represents the "driving force" of the chemical reaction, and the geometrical characteristics of the metal soap nucleus around which the growth of a crystal initiates. In the present communication, the model proposed in [7] is used to investigate the effect of these two parameters on the degradation process of a paint layer. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

“…This paper is organized as follows. A review of the chemo-mechanical model proposed in Eumelen et al [7] is presented in Sect. 2.…”

Section: Introductionmentioning

confidence: 99%

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Computational modelling of metal soap formation in historical oil paintings: the influence of fatty acid concentration and nucleus geometry on the induced chemo-mechanical damage

et al. 2020

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Metal soap formation is one of the most widespread degradation mechanisms observed in historical oil paintings, affecting works of art from museum collections worldwide. Metal soaps develop from a chemical reaction between metal ions present in the pigments and saturated fatty acids, which are released by the oil binder. The presence of large metal soap crystals inside paint layers or at the paint surface can be detrimental for the visual appearance of artworks. Moreover, metal soaps can possibly trigger mechanical damage, ultimately resulting in flaking of the paint. This paper departs from a recently proposed computational model to predict chemo-mechanical degradation in historical oil paintings, as presented in Eumelen et al. (J Mech Phys Solids 132:103683, 2019). The model describes metal soap formation and growth, which are phenomena that are driven by the diffusion of saturated fatty acids and proceed by a nucleation process from a crystalline nucleus of small size. This results into a chemically-induced strain in the paint, which may promote crack nucleation and propagation. The proposed model is here used to investigate the effects of saturated fatty acid concentration and initial nucleus geometry on the amount of chemo-mechanical damage generated. Numerical simulations show that both factors have a marginal influence on the growth rate of the metal soap crystal, but play a significant role on the extent of fracture induced in the paint.

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Section: Chemo-mechanical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…This paper is organized as follows. A review of the chemo-mechanical model proposed in Eumelen et al [7] is presented in Sect. 2.…”

Section: Introductionmentioning

confidence: 99%

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Computational modelling of metal soap formation in historical oil paintings: the influence of fatty acid concentration and nucleus geometry on the induced chemo-mechanical damage

et al. 2020

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“…Another application is the hydrogen transport in metals which is important in pipelines due to so-called hydrogen embrittlement [1,3,5,6,18,37,44,51]. As an interesting application of the coupled mechano-diffusion problems to thin structures, we also mention the model of paintings degradation [24]. As temperature changes, diffusion may play a significant role for thin adhesive layers, see, e.g., [39,45,57].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear resultant theory of shells accounting for thermodiffusion

Eremeyev

Pietraszkiewicz

2020

Continuum Mech. Thermodyn.

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The complete nonlinear resultant 2D model of shell thermodiffusion is developed. All 2D balance laws and the entropy imbalance are formulated by direct through-the-thickness integration of respective 3D laws of continuum thermodiffusion. This leads to a more rich thermodynamic structure of our 2D model with several additional 2D fields not present in the 3D parent model. Constitutive equations of elastic thermodiffusive shells are discussed in more detail. They are formulated from restrictions imposed by the resultant 2D entropy imbalance according to Coleman–Noll procedure extended by a set of 2D constitutive equations based on heuristic assumptions.

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A Critical Review on the Analysis of Metal Soaps in Oil Paintings

et al. 2021

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Up to 70 % of the oil paintings conserved in collections present metal soaps, which result from the chemical reaction between metal ions present in the painted layers and free fatty acids from the lipidic binders. In recent decades, conservators and conservation scientists have been systematically identifying various and frequent conservation problems that can be linked to the formation of metal soaps. It is also increasingly recognized that metal soap formation may not compromise the integrity of paint so there is a need for careful assessment of the implications of metal soaps for conservation. This review aims to critically assess scientific literature related to commonly adopted analytical techniques for the analysis of metal soaps in oil paintings. A comparison of different analytical methods is provided, highlighting advantages associated with each, as well as limitations identified through the analysis of reference materials and applications to the analysis of samples from historical paintings.

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A computational model for chemo-mechanical degradation of historical oil paintings due to metal soap formation

Cited by 23 publications

References 46 publications

Computational modelling of metal soap formation in historical oil paintings: the influence of fatty acid concentration and nucleus geometry on the induced chemo-mechanical damage

Computational modelling of metal soap formation in historical oil paintings: the influence of fatty acid concentration and nucleus geometry on the induced chemo-mechanical damage

Nonlinear resultant theory of shells accounting for thermodiffusion

A Critical Review on the Analysis of Metal Soaps in Oil Paintings

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