{"id":"https://openalex.org/W2594178078","doi":"https://doi.org/10.1137/17m1119974","title":"Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions","display_name":"Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2594178078","doi":"https://doi.org/10.1137/17m1119974","mag":"2594178078"},"language":"en","primary_location":{"id":"doi:10.1137/17m1119974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1119974","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022058942","display_name":"Thomas Hudson","orcid":"https://orcid.org/0000-0002-8076-4937"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["DE","GB"],"is_corresponding":true,"raw_author_name":"Thomas Hudson","raw_affiliation_strings":["Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom","Fakult\u00e4t f\u00fcr Mathematik, Technische Universtit\u00e4t M\u00fcnchen, Boltzmannstrasse, 3, 85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universtit\u00e4t M\u00fcnchen, Boltzmannstrasse, 3, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026939776","display_name":"Marco Morandotti","orcid":"https://orcid.org/0000-0003-3528-6152"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Marco Morandotti","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Technische Universtit\u00e4t M\u00fcnchen, Boltzmannstrasse, 3, 85748 Garching, Germany","Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universtit\u00e4t M\u00fcnchen, Boltzmannstrasse, 3, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022058942"],"corresponding_institution_ids":["https://openalex.org/I39555362","https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.6014,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80108019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"77","issue":"5","first_page":"1678","last_page":"1705"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11201","display_name":"Metallurgy and Material Forming","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.7935786247253418},{"id":"https://openalex.org/keywords/dislocation","display_name":"Dislocation","score":0.7603193521499634},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6059638857841492},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5054957866668701},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.4731011390686035},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4700148403644562},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.43710675835609436},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3915361166000366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3803819417953491},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3791024684906006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36163002252578735},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.12177422642707825},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06608349084854126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06163346767425537}],"concepts":[{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.7935786247253418},{"id":"https://openalex.org/C159122135","wikidata":"https://www.wikidata.org/wiki/Q737571","display_name":"Dislocation","level":2,"score":0.7603193521499634},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6059638857841492},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5054957866668701},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.4731011390686035},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4700148403644562},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.43710675835609436},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3915361166000366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3803819417953491},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3791024684906006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36163002252578735},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.12177422642707825},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06608349084854126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06163346767425537},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1119974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1119974","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:92887","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G5466116072","display_name":null,"funder_award_id":"306274","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G7320182272","display_name":null,"funder_award_id":"ANR-10-LABX-0098","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8545620831","display_name":null,"funder_award_id":"290888","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1967688238","https://openalex.org/W1970179016","https://openalex.org/W1974063927","https://openalex.org/W1992225844","https://openalex.org/W1997651156","https://openalex.org/W1998962009","https://openalex.org/W2018034650","https://openalex.org/W2021036023","https://openalex.org/W2043179737","https://openalex.org/W2046646196","https://openalex.org/W2055307734","https://openalex.org/W2055348880","https://openalex.org/W2063067341","https://openalex.org/W2079780890","https://openalex.org/W2105814348","https://openalex.org/W2106304651","https://openalex.org/W2155239601","https://openalex.org/W2278049927","https://openalex.org/W2318582555","https://openalex.org/W2962871717","https://openalex.org/W2964072561","https://openalex.org/W3098938717"],"related_works":["https://openalex.org/W650625605","https://openalex.org/W3113932901","https://openalex.org/W1919219501","https://openalex.org/W2027504272","https://openalex.org/W2372181157","https://openalex.org/W2551285827","https://openalex.org/W2347750628","https://openalex.org/W2386313281","https://openalex.org/W2069703662","https://openalex.org/W3000211108"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,18,24,30,39,56,73,85,104],"dynamics":[4,26],"of":[5,8,12,20,35,42,45,92],"a":[6,9,81,89],"system":[7],"finite":[10],"number":[11],"screw":[13],"dislocations":[14,44],"is":[15,27],"studied.":[16],"Under":[17],"assumption":[19],"antiplane":[21],"linear":[22],"elasticity,":[23],"two-dimensional":[25],"determined":[28],"by":[29],"renormalized":[31],"energy.":[32],"The":[33],"interaction":[34],"one":[36],"dislocation":[37,83],"with":[38,103],"boundary":[40],"and":[41,53,84,98],"two":[43],"opposite":[46],"Burgers":[47],"moduli":[48],"are":[49,59],"analyzed":[50],"in":[51],"detail,":[52],"estimates":[54,105],"on":[55],"collision":[57,75],"times":[58],"obtained.":[60,106],"Additionally,":[61],"we":[62],"obtain":[63],"sufficient":[64],"conditions":[65],"that":[66,72],"can":[67],"be":[68,79],"used":[69],"to":[70,76],"guarantee":[71],"first":[74],"occur":[77],"will":[78],"between":[80,88],"specific":[82,90],"boundary,":[86],"or":[87],"pair":[91],"dislocations.":[93],"Some":[94],"exactly":[95],"solvable":[96],"cases":[97],"numerical":[99],"simulations":[100],"show":[101],"agreement":[102]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}