Semi-analytical analysis of thermally induced damage in thin ceramic coatings

Шевчук, В. А.; Silberschmidt, Vadim V.

doi:10.1016/j.ijsolstr.2005.02.002

Cited by 11 publications

(3 citation statements)

References 14 publications

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“…The phenomenon of fracturing in layered materials owing to desiccation, cooling and shrinkage is commonly observed in man-made and natural materials. Fractures were extensively studied in mechanical and civil engineering, material science, earth and geological sciences [14,[16][17][18][19]. More recently, first studies in the field of heritage science were also reported [20,21].…”

Section: Introductionmentioning

confidence: 99%

Fracture saturation in paintings makes them less vulnerable to environmental variations in museums

2020

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Understanding paintings as physical systems is fundamental for advancing environmental specifications that would allow for effective management of museum environments in terms of reducing energy use and carbon emissions while maintaining high standards of collection care. The current environmental specifications were derived using the criterion of the crack initiation in undamaged, usually new, material. In reality, historical paintings exhibit complex crack patterns called craquelures. The present paper analyses painted wood which is among the category of cultural objects most vulnerable to relative humidity and temperature fluctuations and frequently found in museum collections of various kinds. Fracture toughness determined experimentally for the most brittle component of pictorial layer-the ground layer (gesso) is used as a 'failure criterion' . Comparison of energy release rate-calculated for the model of the gesso laid on a wooden substrate using finite element analysis-with the structure toughness, allowed the fracture saturation expressed as the ratio of spacing between cracks S to gesso layer thickness t to be determined for various combinations of the gesso stiffness and geometries of structural flaws at which cracks initiate. For flat geometry of a panel painting and panel thickness of 40 mm, representing the worst-case, largest stresses in the gesso layer, the fracture saturation occurs when S/t is larger than 5, even if flaws in the gesso layer are present. The paper shows that the fracture saturation significantly changes vulnerability of paintings to climate variations-a panel painting with developed craquelure network is significantly less vulnerable to climate variations than an undamaged one.

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Section: Introductionmentioning

confidence: 99%

Fracture saturation in paintings makes them less vulnerable to environmental variations in museums

2020

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“…Fracture mechanics provides a useful approach to analysis of processes occurring in bilayer materials undergoing dimensional changes (Hutchinson and Suo 1992;Ma et al 2019;Shevchuk and Silberschmidt 2005;Wu and Pollard 1995;Yin 2010;Zhang et al 2021). As the substrate of a bilayer system expands, the maximum stress occurs at the middle of two cracks.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional numerical and experimental study of fracture saturation in panel paintings

2021

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Panel paintings—complex multi-layer structures consisting of wood support and a paint layer composed of a preparatory layer of gesso, paints, and varnishes—are among the category of cultural objects most vulnerable to relative humidity fluctuations and frequently found in museum collections. The current environmental specifications in museums have been derived using the criterion of crack initiation in an undamaged, usually new gesso layer laid on wood. In reality, historical paintings exhibit complex crack patterns called craquelures. The present paper analyses the structural response of a paint layer with a virtual network of rectangular cracks under environmental loadings using a three-dimensional model of a panel painting. Two modes of loading are considered—one induced by one-dimensional moisture response of wood support, termed the tangential loading, and the other isotropic induced by drying shrinkage of the gesso layer. The superposition of the two modes is also analysed. The modelling showed that minimum distances between cracks parallel to the wood grain depended on the gesso stiffness under the tangential loading. Despite a nonzero Poisson’s ratio, gesso cracks perpendicular to the wood grain could not be generated by the moisture response of the wood support. The isotropic drying shrinkage of gesso produced cracks that were almost evenly spaced in both directions. The modelling results were cross-checked with crack patterns obtained on a mock-up of a panel painting exposed to several extreme environmental variations in an environmental chamber.

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“…Opening-mode fractures in layered materials have attracted significant attentions to engineers and geoscientists. They have been commonly observed in both natural and engineering materials and structures, such as sedimentary rocks Bai et al, 2000a,b;Tang et al, 2008), pavements (Timm et al, 2003;Yin et al, 2007a;Yin, 2010b), surface coatings (Shevchuk and Silberschmidt, 2005;Yin et al, 2007b), multi-layered structures and components (Agrawal and Raj, 1989;Hutchinson and Suo, 1992;Liang et al, 2003;Feng et al, 2008;Yin et al, 2008). With increased tensile stress, additional fractures form in the layer until the saturation spacing is achieved (Agrawal and Raj, 1989;Hutchinson and Suo, 1992).…”

Section: Introductionmentioning

confidence: 99%

Fracture saturation and critical thickness in layered materials

Yin

2010

International Journal of Solids and Structures

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a b s t r a c tOpening-mode fractures in layered materials are commonly found in a layer with uniform spacing that is nearly proportional to the thickness of the fractured layer. However, when fracture spacing reduces to a certain value, fracture density is saturated and no new fracture forms. If a loading condition is fixed, there exists a critical thickness of the layer, below which no fracture forms. This paper presents a three-layer model, containing a weak layer between two stronger layers, to interpret the fracture saturation and critical thickness of layered materials. Using elastic governing equations and a weak form stress boundary condition, a closed-form solution of elastic fields in the weak layer is derived and the energy release rate for opening-mode fracture is obtained. Interestingly, the normal stress between such fractures undergoes a transition from tensile to compressive with increasing applied tensile loading, which causes fracture saturation. Explicit expressions of critical fracture-spacing-to-layer-thickness ratio and critical thickness are derived for fracture saturation and fracture free conditions, respectively. Comparison with the existing numerical simulation results demonstrates the capability of this model. This explicit, analytical solution is useful to structural design and geosciences.

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Semi-analytical analysis of thermally induced damage in thin ceramic coatings

Cited by 11 publications

References 14 publications

Fracture saturation in paintings makes them less vulnerable to environmental variations in museums

Fracture saturation in paintings makes them less vulnerable to environmental variations in museums

Three-dimensional numerical and experimental study of fracture saturation in panel paintings

Fracture saturation and critical thickness in layered materials

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