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Paper Citation Record · LEDGER

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation

As of 14 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2412.18974.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.18974 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation d6b2adca-1e42-4c6f-9f30-73e8c906c3b7 · outbound

This paper cites Laureys, R.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Laureys, R

Reference 2

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Observation bb9f082f-7c22-4539-856a-7ba48149f8f4 · outbound

This paper cites Influence of electrochemical hydrogenation parameters on microstructures prone to hydrogen- induced cracking.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Influence of electrochemical hydrogenation parameters on microstructures prone to hydrogen- induced cracking

Reference 3

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Observation 58812d00-1613-4676-a376-be0cc65562a3 · outbound

This paper cites Djukic, and Sami Elaoud.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Djukic, and Sami Elaoud

Reference 4

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Observation c62c1c96-7ac0-4d63-9cfb-4d5e4bde3695 · outbound

This paper cites Bechtle, M.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Bechtle, M

Reference 5

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Observation 5b5fb21d-3f1c-4ad0-b799-b5b7e9b03e80 · outbound

This paper cites Fundamentals of Hydrogen Embrittlement.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Fundamentals of Hydrogen Embrittlement

Reference 6

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Observation e9aae652-0be8-4727-9713-35dffba3e5f6 · outbound

This paper cites an unresolved cited work.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 7

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Observation 491acdfc-45f9-4c70-adc2-0a9140533808 · outbound

This paper cites The diffusion and trapping of hydrogen in steel.Acta Metallurgica, 18(1):147–157, jan.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation The diffusion and trapping of hydrogen in steel.Acta Metallurgica, 18(1):147–157, jan

Reference 8

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Observation b4d50e33-8e37-4c15-ae66-c3323e0c36bf · outbound

This paper cites Bhadeshia.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Bhadeshia

Reference 9

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Observation c3bebaf5-4c4f-43f8-ac35-e42de736feaa · outbound

This paper cites Modelling of hydrogen permeation experiments in iron alloys: Characterization of the accessible parameters – part i – the entry side.Electrochimica Acta, 262:57–65, feb 2018.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Modelling of hydrogen permeation experiments in iron alloys: Characterization of the accessible parameters – part i – the entry side.Electrochimica Acta, 262:57–65, feb 2018

Reference 10

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This paper cites Critical verification of the kissinger theory to evaluate thermal desorption spectra.International Journal of Hydrogen Energy, 46(79):39590–39606, nov 2021.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Critical verification of the kissinger theory to evaluate thermal desorption spectra.International Journal of Hydrogen Energy, 46(79):39590–39606, nov 2021

Reference 11

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Observation 996afa11-3b1c-4e02-9c90-d154b194b3c6 · outbound

This paper cites Numericalanalysisofhydrogentransportnearabluntingcracktip.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Numericalanalysisofhydrogentransportnearabluntingcracktip

Reference 12

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Observation 5fda91d4-7dc7-49b7-8689-7063e3d513bb · outbound

This paper cites Barrera, E.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Barrera, E

Reference 14

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Observation 9b54ce70-e452-4561-b216-88f6b8a936f2 · outbound

This paper cites Niordson.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Niordson

Reference 15

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This paper cites Analysis of the influ- ence of microstructural traps on hydrogen assisted fatigue.Acta Materialia, 199:253–263, oct 2020.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Analysis of the influ- ence of microstructural traps on hydrogen assisted fatigue.Acta Materialia, 199:253–263, oct 2020

Reference 16

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Observation 67726199-888b-44bf-bc44-d935de279476 · outbound

This paper cites Rimoli and M.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Rimoli and M

Reference 17

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Observation 8bb53979-e2e4-43b4-88dd-2aad956c51e9 · outbound

This paper cites Ilin, Nicolas Saintier, Jean-Marc Olive, Remi Abgrall, and Isabelle Aubert.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Ilin, Nicolas Saintier, Jean-Marc Olive, Remi Abgrall, and Isabelle Aubert

Reference 18

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Observation 34387461-e75d-4471-a209-432bcc051da6 · outbound

This paper cites Comparison of hydrogen transport through pre-deformed synthetic polycrystals and homogeneous samples by finite element analysis.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Comparison of hydrogen transport through pre-deformed synthetic polycrystals and homogeneous samples by finite element analysis

Reference 19

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Observation 6fd06753-7a0a-4f51-b438-989d0e104ab4 · outbound

This paper cites Homogeneity and representativeness analyses of solid oxide fuel cell cathode microstructures.International Journal of Hydrogen Energy, 42(51):30166–30178, dec 2017.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Homogeneity and representativeness analyses of solid oxide fuel cell cathode microstructures.International Journal of Hydrogen Energy, 42(51):30166–30178, dec 2017

Reference 20

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Observation 2d8494f5-406e-4e1a-ae7a-977d66b857a1 · outbound

This paper cites Micromechanical modelling of coupled crystal plasticity and hydrogen diffusion.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Micromechanical modelling of coupled crystal plasticity and hydrogen diffusion

Reference 21

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This paper cites Krom, Poulumi Dey, Gagus K.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Krom, Poulumi Dey, Gagus K

Reference 22

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This paper cites Croft, L.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Croft, L

Reference 24

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 26

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 27

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This paper cites Generation of 3d representative volume elements for heterogeneous materials: A review.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Generation of 3d representative volume elements for heterogeneous materials: A review

Reference 28

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This paper cites Grain-boundary segregation and dynamic solute drag theory—a phase-field approach.Acta Materialia, 55(3):955–960, feb 2007.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Grain-boundary segregation and dynamic solute drag theory—a phase-field approach.Acta Materialia, 55(3):955–960, feb 2007

Reference 29

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This paper cites Grain boundary segregation, solute drag and abnormal grain growth.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Grain boundary segregation, solute drag and abnormal grain growth

Reference 30

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 31

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This paper cites Almeida, Kamen Tushtev, and Kurosch Rezwan.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Almeida, Kamen Tushtev, and Kurosch Rezwan

Reference 32

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This paper cites Phase-field modeling of hydrogen diffusion and trapping in steels.Acta Metallurgica Sinica (English Letters), 34(10):1421–1426, may 2021.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Phase-field modeling of hydrogen diffusion and trapping in steels.Acta Metallurgica Sinica (English Letters), 34(10):1421–1426, may 2021

Reference 33

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This paper cites Phase-field models in materials science.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Phase-field models in materials science

Reference 34

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This paper cites A review of calphad modeling of ordered phases.Journal of Phase Equilibria and Diffusion, 39(5):678–693, aug 2018.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation A review of calphad modeling of ordered phases.Journal of Phase Equilibria and Diffusion, 39(5):678–693, aug 2018

Reference 35

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 36

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Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Svoboda and F.D

Reference 37

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 30a13e13-637a-41bc-bdb1-6493adc9f52c · outbound

This paper cites Grain Boundary Segregation in Metals.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Grain Boundary Segregation in Metals

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T01:07:42.451741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.425108Z digest=sha256:76178d627b49c25ce841ef635da293f3d6d72871e1a1be15f9eccd33aa6e5bc2

Observation 31b3abf8-c1ef-447d-998c-58f4ea8ac61c · outbound

This paper cites Svoboda, G.A.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Svoboda, G.A

Reference 39

Resolution
verified exact
raw_fallback, observed 2026-08-11T01:07:41.682345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.430620Z digest=sha256:8e50ac0f9ca7cb04f5ae75af26e13bab1b711a0aa0832b7e152901e5dc4990af

Observation 91ae80d4-83c4-4ec3-a820-29b624b2e9db · outbound

This paper cites Grain Boundaries in Metals.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Grain Boundaries in Metals

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T01:07:42.415579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.436966Z digest=sha256:63a4ab2ea033b8962b1a049ff24b1b0a163b0e8e367944e8830f2b097d1c7a63

Observation 88d07166-2107-4a63-b5ea-782ae25db86b · outbound

This paper cites Svoboda, G.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Svoboda, G

Reference 41

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.814477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.443569Z digest=sha256:6ec24cb13a5bbde25338361f286ab2e820114ab9d8b5fef47dc6aca942ff617f

Observation 7e655879-b353-4aa7-a4d4-d7493204de6f · outbound

This paper cites Stender, Z.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Stender, Z

Reference 42

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.786908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.451001Z digest=sha256:67abf1c93a46420512d62787346ab66bf3eadfb5bec91d1512b6d79442a35e6d

Observation 45939c04-33f5-4fe7-99b1-6492ee301df7 · outbound

This paper cites Molecular dynamics studies of the grain-size depen- dent hydrogen diffusion coefficient of nanograined fe.International Journal of Hydrogen Energy, 46 (7):5842–5851, jan 2021.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Molecular dynamics studies of the grain-size depen- dent hydrogen diffusion coefficient of nanograined fe.International Journal of Hydrogen Energy, 46 (7):5842–5851, jan 2021

Reference 43

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.759974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.462175Z digest=sha256:720b27b8711cde488a2995c347abaf43833f7a0254cd8c43f4e71affcfe514a7

Observation a2476353-be93-4b58-bdbf-04e433037f1e · outbound

This paper cites Croft, and S.G.R.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Croft, and S.G.R

Reference 44

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.708423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.472199Z digest=sha256:6163eb7fa1d000599dea7fa2be7c002147a956b79ac0f4d9e25f6afe53d96465

Observation 1c1b22a7-cd49-47c8-b79d-e6f7cacb837c · outbound

This paper cites Oudriss, J.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Oudriss, J

Reference 45

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.684286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.483532Z digest=sha256:86198d46236085ebc2f7099a82cb6e47dcf3f563fbaa8dd25485a051ab461176

Observation fc9e15ae-e54d-4794-a436-eed565a1f37c · outbound

This paper cites Brass and A.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Brass and A

Reference 46

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.660752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.507037Z digest=sha256:37b4833173e7c9b64c02852adce3f782100181bf64823cce0800eb1945c1cb85

Observation 6383fdb7-b4bd-4562-b37f-59eeed29b359 · outbound

This paper cites Direct observation of hydrogen permeation through grain boundaries in tungsten.Emergent Materials, 5(4):1075–1087, jan 2022.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Direct observation of hydrogen permeation through grain boundaries in tungsten.Emergent Materials, 5(4):1075–1087, jan 2022

Reference 47

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.622409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.513905Z digest=sha256:24a089d75311251864ab5e96a2f5e1203cf0b3d056749018a790e3384d01db6d

Observation 6a878009-2123-4c2a-9a26-1e9c03735ee1 · outbound

This paper cites Diffusion coefficient of hydrogen in pure iron between 230 and 300 k.Transactions of the Japan Institute of Metals, 20(7):349–357, 1979.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Diffusion coefficient of hydrogen in pure iron between 230 and 300 k.Transactions of the Japan Institute of Metals, 20(7):349–357, 1979

Reference 48

Resolution
verified exact
doi, observed 2026-08-11T01:07:40.584276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.518945Z digest=sha256:f2c0e4bcfd78d0646c4ff989b31344a124565e3e27564e1099f30976ef6b537e

Observation 1f3a0142-73c3-4c7a-a332-1925324db976 · outbound

This paper cites Hydrogenpermeationthrough deformed and heat-treated armco pure iron.Materials Science and Technology, 33(13):1515–1523, jul 2017.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Hydrogenpermeationthrough deformed and heat-treated armco pure iron.Materials Science and Technology, 33(13):1515–1523, jul 2017

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-11T01:07:40.523972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T01:07:40.523972Z digest=sha256:7f1308e5f02eec833439c264b4296f1dc061e9abb588791bfdd97bddb4d960df

Observation b09510be-f31f-4501-96a9-6501cbc16eb7 · outbound

This paper cites an unresolved cited work.

Modeling the effect of grain boundary diffusivity and trapping on hydrogen transport using a phase-field compatible formulation Unresolved cited work

Reference 1970

Resolution
verified exact
doi, observed 2026-08-11T01:07:41.446303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T01:07:40.191782Z digest=sha256:627845089702a3d1a8c3a8cb1d8fc47f1ca040421d54c82b254d036561f2b53d

Pith citing papers

No inbound Pith citation observations are available.