Numerical modelling of climate-induced fracture and deformation in wood: Application to historical museum objects

Luimes, R.A.; Suiker, A.S.J.

doi:10.1016/j.ijsolstr.2020.11.016

Cited by 15 publications

(9 citation statements)

References 25 publications

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“…This modelling strategy was originally proposed in Xu and Needleman (1994), and allows for the robust simulation of crack patterns at arbitrary locations and in arbitrary directions. It naturally includes the effects of crack bifurcation, crack branching and crack coalescence, as previously demonstrated for applications related to historical paints (Eumelen et al, 2019(Eumelen et al, , 2020(Eumelen et al, , 2021, wood (Luimes et al, 2018;Scheperboer et al, 2019;Luimes and Suiker, 2021), polymers (Tijssens et al, 2000), fibrous composites (Cid Alfaro et al, 2010a,b;Geng and Suiker, 2019) and cementitious materials (Scheperboer et al, 2021). The interface elements are characterised by the interface damage model proposed in Cid Alfaro et al (2009).…”

Section: Interface Damage Modelmentioning

confidence: 99%

“…The presence of cracks in the domain has consequences for the chemo-diffusive response of the system, since, across the crack surfaces, the diffusion of the free saturated fatty acids is reduced. In order to account for this coupling effect, following Eumelen et al (2019), Luimes and Suiker (2021), in the diffusion-reaction model the concentration of the free saturated fatty acids across a discrete crack is assumed to be discontinuous while the flux is taken as continuous. Denoting the concentration jump of free saturated fatty acids across a crack as [[Fa ]], the corresponding flux is 𝐽 Fa = 𝐣 Fa ⋅ 𝐧, where 𝐣 Fa is the mass flux vector of the fatty acid species Fa, and 𝐧 is the unit vector normal to the crack faces.…”

Section: Interface Damage Modelmentioning

confidence: 99%

See 1 more Smart Citation

Chemo-mechanical model for degradation of oil paintings by amorphous and crystalline metal soaps

Eumelen

Bosco

Suiker

et al. 2023

European Journal of Mechanics - A/Solids

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Section: Interface Damage Modelmentioning

confidence: 99%

Section: Interface Damage Modelmentioning

confidence: 99%

Chemo-mechanical model for degradation of oil paintings by amorphous and crystalline metal soaps

Eumelen

Bosco

Suiker

et al. 2023

European Journal of Mechanics - A/Solids

Self Cite

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“…A multiphysical approach allows for the capture of the thermo-hygro-mechanical response of wood, the analysis of induced stress and strain, and, possibly, the propagation of cracks [93]. Simplifying the mentioned approach, the followed steps are summarised and presented in Figure 14.…”

Section: Mathematical Modelling and Numerical Simulationsmentioning

confidence: 99%

Heat and Moisture Induced Stress and Strain in Wooden Artefacts and Elements in Heritage Buildings: A Review

2023

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In the world of cultural heritage, a wide range of artefacts and buildings are made of wood and, therefore, are subjected to moisture-induced stress and strain cycles, owing to environmental fluctuations. Simultaneous action of moisture and mechanical loads lead to a mechanosorptive effect on wood. Therefore, an increase in time-dependent creep, due to mechanical loads, is observed. The assessment of these complex phenomena entails the use of advance and interdisciplinary approaches. Consequently, this article reviews experimental and mathematical methods to study these degradation mechanisms in wooden artefacts and timber elements in heritage buildings. The paper presents the results of a six-step descriptive literature review, providing an overall picture of the ongoing research. Experimental techniques need to be improved so that they are in line with the conservation principles. The combination of experiments and simulations is a reliable predictive approach for better assessing the potential risk damages due to temperature, humidity cycles, and mechanical loads in complex structures. Thus, advanced numerical simulations and mathematical modelling include climate data and experimental measurements. This work also provides an overview of research performed on different categories of cultural heritage characterised by multi-layer structures. The mechanical response to wood–moisture relation is affected by the level of complexity of these structures. Finally, the use of realistic models is limited by knowledge about the material properties and the behaviour of complex structures over time. In addition, research gaps, limitations, and possible future research directions are also provided. This review may represent a starting point for future research on the thermo-hygro-mechanical behaviour of wood heritage.

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“…Relative humidity variations may result in dimensional changes of oak wood [21,22] that can promote fracture at the macroscopic level [4]. For example, recent studies on oak museum objects have shown that moisture-induced dimensional changes in cabinet door panels and panel paintings can potentially lead to cracking mechanisms in the panel itself, and in the decorative layers and paint layers [22][23][24][25][26]. These studies also suggest that the understanding of the mechanical and hygro-expansive behaviour of oak museum objects can be further improved via multi-scale approaches that incorporate the characteristics and diversity of the underlying material structures.…”

Section: Introductionmentioning

confidence: 99%

A 3D multi-scale hygro-mechanical model of oak wood

Livani

Suiker

Crivellaro

et al. 2023

Preprint

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A multi-scale framework is proposed for the prediction of the macroscopic hygro-elastic properties of oak wood. The distinctive features of the current multi-scale approach are that: i) four different scales of observation are considered, which enables the inclusion of heterogeneous effects from the nano-, micro-, and meso-scales in the effective constitutive behaviour of oak at the macro-scale, ii) the model relies on three-dimensional material descriptions at each considered length scale, and iii) a moisture-dependent constitutive assumption is adopted at the nano-scale, which allows for recovering the moisture dependency of the material response at higher scales of observation. In the modelling approach, oak wood is considered homogeneous at the macro-scale. The meso-scale description considers the cellular structure of individual growth rings with three different densities. At the micro-scale, the heterogeneous nature of cell walls is described by the characteristics of the primary and secondary cell wall layers. Finally, the nano-scale response is determined by cellulose micro-fibrils embedded in a matrix of hemicellulose and lignin. The oak properties at the four length scales are connected via a three-level homogenization procedure, whereby, depending on the geometry of the fine-scale configuration, an asymptotic homogenization procedure or Voigt averaging procedure is applied at each level to determine the effective hygro-elastic properties at the coarse scale. In addition, the moisture ad-sorption isotherms at each scale are constructed from a volume-weighted averaging of the moisture adsorption characteristics at the scale below. The computational results demonstrate that the moisture-dependent, hygro-elastic behaviour of oak wood is predicted realistically at each considered length scale, thereby revealing the influence of the material density, the micro-fibril orientation, and the hygro-elastic properties at the underlying scales. The computed macro-scale properties of oak are in good agreement with experimental data reported in the literature.

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Numerical modelling of climate-induced fracture and deformation in wood: Application to historical museum objects

Cited by 15 publications

References 25 publications

Chemo-mechanical model for degradation of oil paintings by amorphous and crystalline metal soaps

Chemo-mechanical model for degradation of oil paintings by amorphous and crystalline metal soaps

Heat and Moisture Induced Stress and Strain in Wooden Artefacts and Elements in Heritage Buildings: A Review

A 3D multi-scale hygro-mechanical model of oak wood

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