2015
DOI: 10.1007/s00161-015-0456-z
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Phase field modelling of dynamic thermal fracture in the context of irradiation damage

Abstract: This work presents a continuum mechanics approach to model fracturing processes in brittle materials that are subjected to rapidly applied high-temperature gradients. Such a type of loading typically occurs when a solid is exposed to an intense high-energy particle beam that deposits a large amount of energy into a small sample volume. Given the rapid energy deposition leading to a fast temperature increase, dynamic effects have to be considered. Our existing phase field model for dynamic fracture is thus exte… Show more

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Cited by 20 publications
(7 citation statements)
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“…A small parameter ζ ≪ 1 is introduced to maintain the well-posedness of the system for partially broken parts of the domain. The parameter ξ is used to describe two situations, ξ = 0 for the case when the heat flux is not affected by a crack, and ξ = 1 means that no heat will flow through cracks, or cracks are insulating [38]. The local thermal conductivity could be influenced by hydration process, as discussed in the previous works [4,39].…”
Section: Hydration Heatmentioning
confidence: 99%
“…A small parameter ζ ≪ 1 is introduced to maintain the well-posedness of the system for partially broken parts of the domain. The parameter ξ is used to describe two situations, ξ = 0 for the case when the heat flux is not affected by a crack, and ξ = 1 means that no heat will flow through cracks, or cracks are insulating [38]. The local thermal conductivity could be influenced by hydration process, as discussed in the previous works [4,39].…”
Section: Hydration Heatmentioning
confidence: 99%
“…Ductile fracture has already been investigated by Ambati and De Lorenzis [1], Kuhn and Noll [63] and Miehe et al [80]. On thermal fracture, Schlüter et al [102] presented qualitative results of dynamic thermal fracture in the context of irradiation damage.…”
Section: Extension Of the Implemented Phase Field Model For Dynamic Fmentioning
confidence: 99%
“…For the sake of simplicity, the degradation function 𝜔(𝑑) is introduced in Equation (2.13), 59,66,73,74 with the implicit assumption that no heat will flow through fully softened cracks or, equivalently, the latter are insulating for heat conduction. 66,75,76 This simplification is acceptable since the opening of thermally induced cracks is usually very small such that the effects of convection and radiation can be neglected. More complex interactions between the cracking and thermal transfer processes need to be further studied in the future.…”
Section: Governing Equations For the Thermal Transfer Processmentioning
confidence: 99%
“…Regarding thermally induced cracking in solids, in all the existing studies, to the best knowledge of the authors, only the free thermal expansion was considered with both the TCS and the thermal degradation mechanism neglected. [57][58][59][60][61][62][63][64][65][66] Hence, such phase-field models do not apply to concrete at high temperatures, which involves fully coupled thermo-mechanical fracture.…”
Section: Introductionmentioning
confidence: 99%