A crystal symmetry-invariant Kobayashi-Warren-Carter grain boundary model and its implementation using a thresholding algorithm Article Swipe
Jaekwang Kim
,
Matt Jacobs
,
Stanley Osher
,
Nikhil Chandra Admal
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.13140/rg.2.2.27993.54881
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.13140/rg.2.2.27993.54881
One of the most important aims of grain boundary modeling is to predict the evolution of a large collection of grains in phenomena such as abnormal grain growth, coupled grain boundary motion, and recrystallization that occur under extreme thermomechanical loads. A unified framework to study the coevolution of grain boundaries with bulk plasticity has recently been developed by Admal et al. (2018), which is based on modeling grain boundaries as continuum dislocations governed by an energy based on the Kobayashi--Warren--Carter (KWC) model (Kobayashi et al., 1998, 2000). While the resulting unified model demonstrates coupled grain boundary motion and polygonization (seen in recrystallization), it is restricted to grain boundary energies of the Read--Shockley type, which applies only to small misorientation angles. In addition, the implementation of the unified model using finite elements inherits the computational challenges of the KWC model that originate from the singular diffusive nature of its governing equations. The main goal of this study is to generalize the KWC functional to grain boundary energies beyond the Read--Shockley-type that respect the bicrystallography of grain boundaries. The computational challenges of the KWC model are addressed by developing a thresholding method that relies on a primal dual algorithm and the fast marching method, resulting in an O(NlogN) algorithm, where N is the number of grid points. We validate the model by demonstrating the Herring angle relation, followed by a study of the grain microstructure evolution in a two-dimensional face-centered cubic copper polycrystal with crystal symmetry-invariant grain boundary energy data obtained from the lattice matching method of Runnels et al. (2016a,b).
Related Topics
Concepts
Misorientation
Grain boundary
Recrystallization (geology)
Geometry
Invariant (physics)
Grain boundary strengthening
Algorithm
Mathematics
Materials science
Geology
Metallurgy
Microstructure
Mathematical physics
Paleontology
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://export.arxiv.org/pdf/2102.02773
- OA Status
- green
- References
- 51
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3128475284
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3128475284Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.13140/rg.2.2.27993.54881Digital Object Identifier
- Title
-
A crystal symmetry-invariant Kobayashi-Warren-Carter grain boundary model and its implementation using a thresholding algorithmWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-01-01Full publication date if available
- Authors
-
Jaekwang Kim, Matt Jacobs, Stanley Osher, Nikhil Chandra AdmalList of authors in order
- Landing page
-
https://export.arxiv.org/pdf/2102.02773Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://export.arxiv.org/pdf/2102.02773Direct OA link when available
- Concepts
-
Misorientation, Grain boundary, Recrystallization (geology), Geometry, Invariant (physics), Grain boundary strengthening, Algorithm, Mathematics, Materials science, Geology, Metallurgy, Microstructure, Mathematical physics, PaleontologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
51Number of works referenced by this work
- Related works (count)
-
20Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3128475284 |
|---|---|
| doi | https://doi.org/10.13140/rg.2.2.27993.54881 |
| ids.doi | https://doi.org/10.13140/rg.2.2.27993.54881 |
| ids.mag | 3128475284 |
| ids.openalex | https://openalex.org/W3128475284 |
| fwci | 0.0 |
| type | preprint |
| title | A crystal symmetry-invariant Kobayashi-Warren-Carter grain boundary model and its implementation using a thresholding algorithm |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10204 |
| topics[0].field.id | https://openalex.org/fields/25 |
| topics[0].field.display_name | Materials Science |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2505 |
| topics[0].subfield.display_name | Materials Chemistry |
| topics[0].display_name | Microstructure and mechanical properties |
| topics[1].id | https://openalex.org/T11201 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9994000196456909 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2211 |
| topics[1].subfield.display_name | Mechanics of Materials |
| topics[1].display_name | Metallurgy and Material Forming |
| topics[2].id | https://openalex.org/T10386 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9962000250816345 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2210 |
| topics[2].subfield.display_name | Mechanical Engineering |
| topics[2].display_name | Microstructure and Mechanical Properties of Steels |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C2778117898 |
| concepts[0].level | 4 |
| concepts[0].score | 0.8602620363235474 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q4388710 |
| concepts[0].display_name | Misorientation |
| concepts[1].id | https://openalex.org/C47908070 |
| concepts[1].level | 3 |
| concepts[1].score | 0.7359690070152283 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q900515 |
| concepts[1].display_name | Grain boundary |
| concepts[2].id | https://openalex.org/C195702682 |
| concepts[2].level | 2 |
| concepts[2].score | 0.49006640911102295 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q623318 |
| concepts[2].display_name | Recrystallization (geology) |
| concepts[3].id | https://openalex.org/C2524010 |
| concepts[3].level | 1 |
| concepts[3].score | 0.47401174902915955 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q8087 |
| concepts[3].display_name | Geometry |
| concepts[4].id | https://openalex.org/C190470478 |
| concepts[4].level | 2 |
| concepts[4].score | 0.4409031867980957 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q2370229 |
| concepts[4].display_name | Invariant (physics) |
| concepts[5].id | https://openalex.org/C84838300 |
| concepts[5].level | 4 |
| concepts[5].score | 0.43324509263038635 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q264845 |
| concepts[5].display_name | Grain boundary strengthening |
| concepts[6].id | https://openalex.org/C11413529 |
| concepts[6].level | 1 |
| concepts[6].score | 0.3588988184928894 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q8366 |
| concepts[6].display_name | Algorithm |
| concepts[7].id | https://openalex.org/C33923547 |
| concepts[7].level | 0 |
| concepts[7].score | 0.35396820306777954 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[7].display_name | Mathematics |
| concepts[8].id | https://openalex.org/C192562407 |
| concepts[8].level | 0 |
| concepts[8].score | 0.33032792806625366 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q228736 |
| concepts[8].display_name | Materials science |
| concepts[9].id | https://openalex.org/C127313418 |
| concepts[9].level | 0 |
| concepts[9].score | 0.19676512479782104 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q1069 |
| concepts[9].display_name | Geology |
| concepts[10].id | https://openalex.org/C191897082 |
| concepts[10].level | 1 |
| concepts[10].score | 0.15555614233016968 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q11467 |
| concepts[10].display_name | Metallurgy |
| concepts[11].id | https://openalex.org/C87976508 |
| concepts[11].level | 2 |
| concepts[11].score | 0.15030324459075928 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q1498213 |
| concepts[11].display_name | Microstructure |
| concepts[12].id | https://openalex.org/C37914503 |
| concepts[12].level | 1 |
| concepts[12].score | 0.11248904466629028 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q156495 |
| concepts[12].display_name | Mathematical physics |
| concepts[13].id | https://openalex.org/C151730666 |
| concepts[13].level | 1 |
| concepts[13].score | 0.0 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q7205 |
| concepts[13].display_name | Paleontology |
| keywords[0].id | https://openalex.org/keywords/misorientation |
| keywords[0].score | 0.8602620363235474 |
| keywords[0].display_name | Misorientation |
| keywords[1].id | https://openalex.org/keywords/grain-boundary |
| keywords[1].score | 0.7359690070152283 |
| keywords[1].display_name | Grain boundary |
| keywords[2].id | https://openalex.org/keywords/recrystallization |
| keywords[2].score | 0.49006640911102295 |
| keywords[2].display_name | Recrystallization (geology) |
| keywords[3].id | https://openalex.org/keywords/geometry |
| keywords[3].score | 0.47401174902915955 |
| keywords[3].display_name | Geometry |
| keywords[4].id | https://openalex.org/keywords/invariant |
| keywords[4].score | 0.4409031867980957 |
| keywords[4].display_name | Invariant (physics) |
| keywords[5].id | https://openalex.org/keywords/grain-boundary-strengthening |
| keywords[5].score | 0.43324509263038635 |
| keywords[5].display_name | Grain boundary strengthening |
| keywords[6].id | https://openalex.org/keywords/algorithm |
| keywords[6].score | 0.3588988184928894 |
| keywords[6].display_name | Algorithm |
| keywords[7].id | https://openalex.org/keywords/mathematics |
| keywords[7].score | 0.35396820306777954 |
| keywords[7].display_name | Mathematics |
| keywords[8].id | https://openalex.org/keywords/materials-science |
| keywords[8].score | 0.33032792806625366 |
| keywords[8].display_name | Materials science |
| keywords[9].id | https://openalex.org/keywords/geology |
| keywords[9].score | 0.19676512479782104 |
| keywords[9].display_name | Geology |
| keywords[10].id | https://openalex.org/keywords/metallurgy |
| keywords[10].score | 0.15555614233016968 |
| keywords[10].display_name | Metallurgy |
| keywords[11].id | https://openalex.org/keywords/microstructure |
| keywords[11].score | 0.15030324459075928 |
| keywords[11].display_name | Microstructure |
| keywords[12].id | https://openalex.org/keywords/mathematical-physics |
| keywords[12].score | 0.11248904466629028 |
| keywords[12].display_name | Mathematical physics |
| language | en |
| locations[0].id | mag:3128475284 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | |
| locations[0].version | submittedVersion |
| locations[0].raw_type | |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | arXiv (Cornell University) |
| locations[0].landing_page_url | http://export.arxiv.org/pdf/2102.02773 |
| locations[1].id | doi:10.13140/rg.2.2.27993.54881 |
| locations[1].is_oa | True |
| locations[1].source | |
| locations[1].license | |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article-journal |
| locations[1].license_id | |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.13140/rg.2.2.27993.54881 |
| indexed_in | datacite |
| authorships[0].author.id | https://openalex.org/A5100652687 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-2576-1239 |
| authorships[0].author.display_name | Jaekwang Kim |
| authorships[0].countries | US |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I157725225 |
| authorships[0].affiliations[0].raw_affiliation_string | Department of Mechanical Science and Engineering, University of Illinois Urbana–Champaign, United States |
| authorships[0].institutions[0].id | https://openalex.org/I157725225 |
| authorships[0].institutions[0].ror | https://ror.org/047426m28 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I157725225 |
| authorships[0].institutions[0].country_code | US |
| authorships[0].institutions[0].display_name | University of Illinois Urbana-Champaign |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Jaekwang Kim |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Department of Mechanical Science and Engineering, University of Illinois Urbana–Champaign, United States |
| authorships[1].author.id | https://openalex.org/A5045055371 |
| authorships[1].author.orcid | https://orcid.org/0000-0001-9306-6495 |
| authorships[1].author.display_name | Matt Jacobs |
| authorships[1].countries | US |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I161318765 |
| authorships[1].affiliations[0].raw_affiliation_string | Department of Mathematics, University of California, Los Angeles, United States |
| authorships[1].institutions[0].id | https://openalex.org/I161318765 |
| authorships[1].institutions[0].ror | https://ror.org/046rm7j60 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I161318765 |
| authorships[1].institutions[0].country_code | US |
| authorships[1].institutions[0].display_name | University of California, Los Angeles |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Matt Jacobs |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Department of Mathematics, University of California, Los Angeles, United States |
| authorships[2].author.id | https://openalex.org/A5002037883 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-7900-4658 |
| authorships[2].author.display_name | Stanley Osher |
| authorships[2].countries | US |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I161318765 |
| authorships[2].affiliations[0].raw_affiliation_string | Department of Mathematics, University of California, Los Angeles, United States |
| authorships[2].institutions[0].id | https://openalex.org/I161318765 |
| authorships[2].institutions[0].ror | https://ror.org/046rm7j60 |
| authorships[2].institutions[0].type | education |
| authorships[2].institutions[0].lineage | https://openalex.org/I161318765 |
| authorships[2].institutions[0].country_code | US |
| authorships[2].institutions[0].display_name | University of California, Los Angeles |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Stanley Osher |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Department of Mathematics, University of California, Los Angeles, United States |
| authorships[3].author.id | https://openalex.org/A5068256827 |
| authorships[3].author.orcid | https://orcid.org/0000-0001-8921-8206 |
| authorships[3].author.display_name | Nikhil Chandra Admal |
| authorships[3].countries | US |
| authorships[3].affiliations[0].institution_ids | https://openalex.org/I157725225 |
| authorships[3].affiliations[0].raw_affiliation_string | ***University of Illinois at Urbana-Champaign |
| authorships[3].institutions[0].id | https://openalex.org/I157725225 |
| authorships[3].institutions[0].ror | https://ror.org/047426m28 |
| authorships[3].institutions[0].type | education |
| authorships[3].institutions[0].lineage | https://openalex.org/I157725225 |
| authorships[3].institutions[0].country_code | US |
| authorships[3].institutions[0].display_name | University of Illinois Urbana-Champaign |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Nikhil Chandra Admal |
| authorships[3].is_corresponding | False |
| authorships[3].raw_affiliation_strings | ***University of Illinois at Urbana-Champaign |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | http://export.arxiv.org/pdf/2102.02773 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | A crystal symmetry-invariant Kobayashi-Warren-Carter grain boundary model and its implementation using a thresholding algorithm |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10204 |
| primary_topic.field.id | https://openalex.org/fields/25 |
| primary_topic.field.display_name | Materials Science |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2505 |
| primary_topic.subfield.display_name | Materials Chemistry |
| primary_topic.display_name | Microstructure and mechanical properties |
| related_works | https://openalex.org/W3196734960, https://openalex.org/W2932078027, https://openalex.org/W2934490451, https://openalex.org/W2026843256, https://openalex.org/W2949593686, https://openalex.org/W2980243329, https://openalex.org/W1999700328, https://openalex.org/W2884449299, https://openalex.org/W1992639525, https://openalex.org/W2167476690, https://openalex.org/W2133174787, https://openalex.org/W1975815099, https://openalex.org/W2024082346, https://openalex.org/W95199564, https://openalex.org/W1995862448, https://openalex.org/W1491981841, https://openalex.org/W2094306244, https://openalex.org/W2036210162, https://openalex.org/W2136571356, https://openalex.org/W2520029712 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | mag:3128475284 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | arXiv (Cornell University) |
| best_oa_location.landing_page_url | http://export.arxiv.org/pdf/2102.02773 |
| primary_location.id | mag:3128475284 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | |
| primary_location.version | submittedVersion |
| primary_location.raw_type | |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | arXiv (Cornell University) |
| primary_location.landing_page_url | http://export.arxiv.org/pdf/2102.02773 |
| publication_date | 2020-01-01 |
| publication_year | 2020 |
| referenced_works | https://openalex.org/W2062460553, https://openalex.org/W2068151579, https://openalex.org/W2163061300, https://openalex.org/W1969104398, https://openalex.org/W2048832614, https://openalex.org/W2025469203, https://openalex.org/W2222512263, https://openalex.org/W2025509715, https://openalex.org/W2026843256, https://openalex.org/W2113846216, https://openalex.org/W2212370034, https://openalex.org/W1965034778, https://openalex.org/W2021350139, https://openalex.org/W2096964099, https://openalex.org/W2056476985, https://openalex.org/W2074586650, https://openalex.org/W1971802957, https://openalex.org/W1999244633, https://openalex.org/W2106193685, https://openalex.org/W1922442141, https://openalex.org/W2051299903, https://openalex.org/W2966831773, https://openalex.org/W2092663520, https://openalex.org/W2239233596, https://openalex.org/W3008136300, https://openalex.org/W3023131762, https://openalex.org/W2296616510, https://openalex.org/W1981412090, https://openalex.org/W2963367966, https://openalex.org/W2932078027, https://openalex.org/W2044025718, https://openalex.org/W2263453853, https://openalex.org/W168936519, https://openalex.org/W5257529, https://openalex.org/W2041001120, https://openalex.org/W2963856246, https://openalex.org/W2011674876, https://openalex.org/W2975196294, https://openalex.org/W2132363464, https://openalex.org/W2140153041, https://openalex.org/W2012077913, https://openalex.org/W2042141480, https://openalex.org/W2076630180, https://openalex.org/W2061032298, https://openalex.org/W1969164906, https://openalex.org/W2194594184, https://openalex.org/W2165269741, https://openalex.org/W3012278725, https://openalex.org/W2005422429, https://openalex.org/W2902068987, https://openalex.org/W2561843528 |
| referenced_works_count | 51 |
| abstract_inverted_index.A | 40 |
| abstract_inverted_index.N | 208 |
| abstract_inverted_index.a | 16, 187, 193, 227, 235 |
| abstract_inverted_index.In | 120 |
| abstract_inverted_index.We | 215 |
| abstract_inverted_index.an | 74, 204 |
| abstract_inverted_index.as | 24, 69 |
| abstract_inverted_index.by | 57, 73, 185, 219, 226 |
| abstract_inverted_index.et | 59, 83, 256 |
| abstract_inverted_index.in | 21, 100, 203, 234 |
| abstract_inverted_index.is | 10, 63, 103, 156, 209 |
| abstract_inverted_index.it | 102 |
| abstract_inverted_index.of | 1, 6, 15, 19, 47, 109, 124, 135, 146, 153, 173, 179, 212, 229, 254 |
| abstract_inverted_index.on | 65, 77, 192 |
| abstract_inverted_index.to | 11, 43, 105, 116, 157, 162 |
| abstract_inverted_index.KWC | 137, 160, 181 |
| abstract_inverted_index.One | 0 |
| abstract_inverted_index.The | 150, 176 |
| abstract_inverted_index.al. | 60, 257 |
| abstract_inverted_index.and | 32, 97, 197 |
| abstract_inverted_index.are | 183 |
| abstract_inverted_index.has | 53 |
| abstract_inverted_index.its | 147 |
| abstract_inverted_index.the | 2, 13, 45, 78, 88, 110, 122, 125, 132, 136, 142, 159, 167, 171, 180, 198, 210, 217, 221, 230, 250 |
| abstract_inverted_index.aims | 5 |
| abstract_inverted_index.al., | 84 |
| abstract_inverted_index.been | 55 |
| abstract_inverted_index.bulk | 51 |
| abstract_inverted_index.data | 247 |
| abstract_inverted_index.dual | 195 |
| abstract_inverted_index.fast | 199 |
| abstract_inverted_index.from | 141, 249 |
| abstract_inverted_index.goal | 152 |
| abstract_inverted_index.grid | 213 |
| abstract_inverted_index.main | 151 |
| abstract_inverted_index.most | 3 |
| abstract_inverted_index.only | 115 |
| abstract_inverted_index.such | 23 |
| abstract_inverted_index.that | 34, 139, 169, 190 |
| abstract_inverted_index.this | 154 |
| abstract_inverted_index.with | 50, 241 |
| abstract_inverted_index.(KWC) | 80 |
| abstract_inverted_index.(seen | 99 |
| abstract_inverted_index.1998, | 85 |
| abstract_inverted_index.Admal | 58 |
| abstract_inverted_index.While | 87 |
| abstract_inverted_index.angle | 223 |
| abstract_inverted_index.based | 64, 76 |
| abstract_inverted_index.cubic | 238 |
| abstract_inverted_index.grain | 7, 26, 29, 48, 67, 94, 106, 163, 174, 231, 244 |
| abstract_inverted_index.large | 17 |
| abstract_inverted_index.model | 81, 91, 127, 138, 182, 218 |
| abstract_inverted_index.occur | 35 |
| abstract_inverted_index.small | 117 |
| abstract_inverted_index.study | 44, 155, 228 |
| abstract_inverted_index.type, | 112 |
| abstract_inverted_index.under | 36 |
| abstract_inverted_index.using | 128 |
| abstract_inverted_index.where | 207 |
| abstract_inverted_index.which | 62, 113 |
| abstract_inverted_index.2000). | 86 |
| abstract_inverted_index.beyond | 166 |
| abstract_inverted_index.copper | 239 |
| abstract_inverted_index.energy | 75, 246 |
| abstract_inverted_index.finite | 129 |
| abstract_inverted_index.grains | 20 |
| abstract_inverted_index.loads. | 39 |
| abstract_inverted_index.method | 189, 253 |
| abstract_inverted_index.motion | 96 |
| abstract_inverted_index.nature | 145 |
| abstract_inverted_index.number | 211 |
| abstract_inverted_index.primal | 194 |
| abstract_inverted_index.relies | 191 |
| abstract_inverted_index.(2018), | 61 |
| abstract_inverted_index.Herring | 222 |
| abstract_inverted_index.Runnels | 255 |
| abstract_inverted_index.angles. | 119 |
| abstract_inverted_index.applies | 114 |
| abstract_inverted_index.coupled | 28, 93 |
| abstract_inverted_index.crystal | 242 |
| abstract_inverted_index.extreme | 37 |
| abstract_inverted_index.growth, | 27 |
| abstract_inverted_index.lattice | 251 |
| abstract_inverted_index.method, | 201 |
| abstract_inverted_index.motion, | 31 |
| abstract_inverted_index.points. | 214 |
| abstract_inverted_index.predict | 12 |
| abstract_inverted_index.respect | 170 |
| abstract_inverted_index.unified | 41, 90, 126 |
| abstract_inverted_index.O(NlogN) | 205 |
| abstract_inverted_index.abnormal | 25 |
| abstract_inverted_index.boundary | 8, 30, 95, 107, 164, 245 |
| abstract_inverted_index.elements | 130 |
| abstract_inverted_index.energies | 108, 165 |
| abstract_inverted_index.followed | 225 |
| abstract_inverted_index.governed | 72 |
| abstract_inverted_index.inherits | 131 |
| abstract_inverted_index.marching | 200 |
| abstract_inverted_index.matching | 252 |
| abstract_inverted_index.modeling | 9, 66 |
| abstract_inverted_index.obtained | 248 |
| abstract_inverted_index.recently | 54 |
| abstract_inverted_index.singular | 143 |
| abstract_inverted_index.validate | 216 |
| abstract_inverted_index.addition, | 121 |
| abstract_inverted_index.addressed | 184 |
| abstract_inverted_index.algorithm | 196 |
| abstract_inverted_index.continuum | 70 |
| abstract_inverted_index.developed | 56 |
| abstract_inverted_index.diffusive | 144 |
| abstract_inverted_index.evolution | 14, 233 |
| abstract_inverted_index.framework | 42 |
| abstract_inverted_index.governing | 148 |
| abstract_inverted_index.important | 4 |
| abstract_inverted_index.originate | 140 |
| abstract_inverted_index.phenomena | 22 |
| abstract_inverted_index.relation, | 224 |
| abstract_inverted_index.resulting | 89, 202 |
| abstract_inverted_index.(2016a,b). | 258 |
| abstract_inverted_index.(Kobayashi | 82 |
| abstract_inverted_index.algorithm, | 206 |
| abstract_inverted_index.boundaries | 49, 68 |
| abstract_inverted_index.challenges | 134, 178 |
| abstract_inverted_index.collection | 18 |
| abstract_inverted_index.developing | 186 |
| abstract_inverted_index.equations. | 149 |
| abstract_inverted_index.functional | 161 |
| abstract_inverted_index.generalize | 158 |
| abstract_inverted_index.plasticity | 52 |
| abstract_inverted_index.restricted | 104 |
| abstract_inverted_index.boundaries. | 175 |
| abstract_inverted_index.coevolution | 46 |
| abstract_inverted_index.polycrystal | 240 |
| abstract_inverted_index.demonstrates | 92 |
| abstract_inverted_index.dislocations | 71 |
| abstract_inverted_index.thresholding | 188 |
| abstract_inverted_index.computational | 133, 177 |
| abstract_inverted_index.demonstrating | 220 |
| abstract_inverted_index.face-centered | 237 |
| abstract_inverted_index.Read--Shockley | 111 |
| abstract_inverted_index.implementation | 123 |
| abstract_inverted_index.microstructure | 232 |
| abstract_inverted_index.misorientation | 118 |
| abstract_inverted_index.polygonization | 98 |
| abstract_inverted_index.two-dimensional | 236 |
| abstract_inverted_index.thermomechanical | 38 |
| abstract_inverted_index.bicrystallography | 172 |
| abstract_inverted_index.recrystallization | 33 |
| abstract_inverted_index.symmetry-invariant | 243 |
| abstract_inverted_index.Read--Shockley-type | 168 |
| abstract_inverted_index.recrystallization), | 101 |
| abstract_inverted_index.Kobayashi--Warren--Carter | 79 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.41999998688697815 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.12575822 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |