Anisotropic thermal-conductivity degradation in the phase-field method accounting for crack directionality

Svolos, Lampros; Mourad, Hashem M.; Bronkhorst, Curt A.; Waisman, Haim

doi:10.1016/j.engfracmech.2021.107554

Cited by 20 publications

(3 citation statements)

References 56 publications

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“…where 𝜌 is the density and 𝑐 𝑝 denotes the heat capacity. q represents the heat flux given by the Fourier's heat conduction law as follows [56,57]…”

Section: Governing Equationsmentioning

confidence: 99%

A framework to model thermomechanical coupled of fracture and martensite transformation in austenitic microstructures

Farahani

Aragh

Sarhadi

et al. 2023

Thin-Walled Structures

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“…where 𝜌 is the density and 𝑐 𝑝 denotes the heat capacity. q represents the heat flux given by the Fourier's heat conduction law as follows [56,57]…”

Section: Governing Equationsmentioning

confidence: 99%

A framework to model thermomechanical coupled of fracture and martensite transformation in austenitic microstructures

Farahani

Aragh

Sarhadi

et al. 2023

Thin-Walled Structures

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“…Svolos et al [47] proposed a thermal-conductivity degradation function derived from a novel micromechanics analytical approach using spherical harmonics, and showed that the thermal conductivity across cracks must be degraded to satisfy crack Neumann boundary conditions. Furthermore, they proposed a new anisotropic approach [48] in which thermal conductivity, which depends on the phase-field gradient, is degraded solely across the crack.…”

Section: Phase-field Fracture Modelmentioning

confidence: 99%

“…In the above relation, k 0 is the thermal conductivity of the undamaged material, and g(d) is a thermal degradation function which ensures that no heat flux exists across the crack. Though there are other forms of thermal degradation proposed in the work of [47,48], an isotropic conductivity degradation g(d) = (1 − d) 2 + ξ is adopted here, where ξ is a small number for numerical and physical purposes. Substituting Eq.…”

Section: Damaged Informed Heat Conductionmentioning

confidence: 99%

A thermo-mechanical phase-field fracture model: application to hot cracking simulations in additive manufacturing

Ruan¹,

Rezaei²,

Yang³

et al. 2022

Preprint

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Thermal fracture is prevalent in many engineering problems and is one of the most devastating defects in metal additive manufacturing. Due to the interactive underlying physics involved, the computational simulation of such a process is challenging. In this work, we propose a thermo-mechanical phase-field fracture model, which is based on a thermodynamically consistent derivation. The influence of different coupling terms such as damage-informed thermomechanics and heat conduction and temperature-dependent fracture properties, as well as different phase-field fracture formulations, are discussed. Finally, the model is implemented in the finite element method and applied to simulate the hot cracking in additive manufacturing. Thereby not only the thermal strain but also the solidification shrinkage are considered. As for thermal history, various predicted thermal profiles, including analytical solution and numerical thermal temperature profile around the melting pool, are regarded, whereas the latter includes the influence of different process parameters. The studies reveal that the solidification shrinkage strain takes a dominant role in the formation of the circumferential crack, while the temperature gradient is mostly responsible for the central crack. Process parameter study demonstrates further that a higher laser power and slower scanning speed are favorable for keyhole mode hot cracking while a lower laser power and quicker scanning speed tend to form the conduction mode cracking. The numerical predictions of the hot cracking patterns are in good agreement with similar experimental observations, showing the capability of the model for further studies.

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Three-Dimensional Numerical Simulation of Interaction Between Hydraulic Fractures and Natural Fractures in Deep Coal Reservoir

Zhang,

Zhao,

Shi

et al. 2024

Mechanisms and Machine Science

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Anisotropic thermal-conductivity degradation in the phase-field method accounting for crack directionality

Cited by 20 publications

References 56 publications

A framework to model thermomechanical coupled of fracture and martensite transformation in austenitic microstructures

A framework to model thermomechanical coupled of fracture and martensite transformation in austenitic microstructures

A thermo-mechanical phase-field fracture model: application to hot cracking simulations in additive manufacturing

Three-Dimensional Numerical Simulation of Interaction Between Hydraulic Fractures and Natural Fractures in Deep Coal Reservoir

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