Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Schicchi, Diego Said; Caggiano, António; Hunkel, M.; Koenders, Eduardus

doi:10.1007/s00161-018-0682-2

Cited by 8 publications

(5 citation statements)

References 56 publications

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“…(21). For a more detailed analysis of the emerging macroscopic thermodynamics in computational homogenization of transient dissipative phenomena the reader is directed to the recent articles on the topic [39,40]. Also in [41], a thermodynamical model including temperature gradients is developed and rationalized using homogenization of heterogeneous media.…”

Section: Upscalingmentioning

confidence: 99%

Model reduction in computational homogenization for transient heat conduction

et al. 2019

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This paper presents a computationally efficient homogenization method for transient heat conduction problems. The notion of relaxed separation of scales is introduced and the homogenization framework is derived. Under the assumptions of linearity and relaxed separation of scales, the microscopic solution is decomposed into a steady-state and a transient part. Static condensation is performed to obtain the global basis for the steady-state response and an eigenvalue problem is solved to obtain a global basis for the transient response. The macroscopic quantities are then extracted by averaging and expressed in terms of the coefficients of the reduced basis. Proof-of-principle simulations are conducted with materials exhibiting high contrast material properties. The proposed homogenization method is compared with the conventional steady-state homogenization and transient computational homogenization methods. Within its applicability limits, the proposed homogenization method is able to accurately capture the microscopic thermal inertial effects with significant computational efficiency.

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Section: Upscalingmentioning

confidence: 99%

Model reduction in computational homogenization for transient heat conduction

et al. 2019

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“…It follows that T j+1 2 = T j+1 0 and combining it into Equations (18) and (19), it can be easily achieved the following expression of the adiabatic boundary condition:…”

Section: Schematization and Discretizationmentioning

confidence: 99%

Modelling the Thermal Energy Storage of Cementitious Mortars Made with PCM-Recycled Brick Aggregates

et al. 2020

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This paper reports a numerical approach for modelling the thermal behavior and heat accumulation/liberation of sustainable cementitious composites made with Recycled Brick Aggregates (RBAs) employed as carriers for Phase-Change Materials (PCMs). In the framework of the further development of the fixed grid modelling method, classically employed for solving the well-known Stefan problem, an enthalpy-based approach and an apparent calorific capacity method have been proposed and validated. More specifically, the results of an experimental program, following an advanced incorporation and immobilization technique, developed at the Institut für Werkstoffe im Bauwesen for investigating the thermal responses of various combinations of PCM-RBAs, have been considered as the benchmark to calibrate/validate the numerical results. Promising numerical results have been obtained, and temperature simulations showed good agreement with the experimental data of the analyzed mixtures.

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“…A multiscale framework for thermo-mechanical analysis with phase transformations is subject of the published work in [ 53 ]. The coupled process at both micro- and macroscopic scales, averaging criteria, mechanical, thermal and phase change constitutive expressions, as well as the corresponding homogenization rules, are derived and discussed in detail in this work.…”

Section: Resultsmentioning

confidence: 99%

Modeling Bainitic Transformations during Press Hardening

et al. 2021

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We revisit recent findings on experimental and modeling investigations of bainitic transformations under the influence of external stresses and pre-strain during the press hardening process. Experimentally, the transformation kinetics in 22MnB5 under various tensile stresses are studied both on the macroscopic and microstructural level. In the bainitic microstructure, the variant selection effect is analyzed with an optimized prior-austenite grain reconstruction technique. The resulting observations are expressed phenomenologically using a autocatalytic transformation model, which serves for further scale bridging descriptions of the underlying thermo-chemo-mechanical coupling processes during the bainitic transformation. Using analyses of orientation relationships, thermodynamically consistent and nondiagonal phase field models are developed, which are supported by ab initio generated mechanical parameters. Applications are related to the microstructure evolution on the sheaf, subunit, precipitate and grain boundary level.

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Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Cited by 8 publications

References 56 publications

Model reduction in computational homogenization for transient heat conduction

Model reduction in computational homogenization for transient heat conduction

Modelling the Thermal Energy Storage of Cementitious Mortars Made with PCM-Recycled Brick Aggregates

Modeling Bainitic Transformations during Press Hardening

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