{"id":"https://openalex.org/W2116948419","doi":"https://doi.org/10.1109/hpcs.2005.21","title":"Computational Modeling of Coupled Dynamic Phase Transformations in Shape Memory Alloys","display_name":"Computational Modeling of Coupled Dynamic Phase Transformations in Shape Memory Alloys","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2116948419","doi":"https://doi.org/10.1109/hpcs.2005.21","mag":"2116948419"},"language":"en","primary_location":{"id":"doi:10.1109/hpcs.2005.21","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpcs.2005.21","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"19th International Symposium on High Performance Computing Systems and Applications (HPCS'05)","raw_type":"proceedings-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/A5078256024","display_name":"D. Roy Mahapatra","orcid":"https://orcid.org/0000-0001-7657-2302"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"D.R. Mahapatra","raw_affiliation_strings":["Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, ONT, Canada","Dept. of Math. Modelling & Comput. Sci., Wilfrid Laurier Univ., Waterloo, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I75381157"]},{"raw_affiliation_string":"Dept. of Math. Modelling & Comput. Sci., Wilfrid Laurier Univ., Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I75381157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045989726","display_name":"Roderick Melnik","orcid":"https://orcid.org/0000-0002-1560-6684"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"R.V.N. Melnik","raw_affiliation_strings":["Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, ONT, Canada","Dept. of Math. Modelling & Comput. Sci., Wilfrid Laurier Univ., Waterloo, Ont., Canada"],"affiliations":[{"raw_affiliation_string":"Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I75381157"]},{"raw_affiliation_string":"Dept. of Math. Modelling & Comput. Sci., Wilfrid Laurier Univ., Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I75381157"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078256024"],"corresponding_institution_ids":["https://openalex.org/I75381157"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16438613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"115","issue":null,"first_page":"267","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10865","display_name":"Shape Memory Alloy Transformations","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10865","display_name":"Shape Memory Alloy Transformations","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9969000220298767,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/preconditioner","display_name":"Preconditioner","score":0.678339421749115},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6762804985046387},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6691516041755676},{"id":"https://openalex.org/keywords/shape-memory-alloy","display_name":"Shape-memory alloy","score":0.6568207740783691},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6352608799934387},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5630896091461182},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5042999982833862},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4920958876609802},{"id":"https://openalex.org/keywords/sma*","display_name":"SMA*","score":0.471340149641037},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.459757536649704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4328690767288208},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4185664653778076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3493495583534241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2622356712818146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1759113073348999},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.14353707432746887},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1430976390838623},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13273966312408447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13182693719863892}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.678339421749115},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6762804985046387},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6691516041755676},{"id":"https://openalex.org/C49097943","wikidata":"https://www.wikidata.org/wiki/Q898455","display_name":"Shape-memory alloy","level":2,"score":0.6568207740783691},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6352608799934387},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5630896091461182},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5042999982833862},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4920958876609802},{"id":"https://openalex.org/C161921814","wikidata":"https://www.wikidata.org/wiki/Q493743","display_name":"SMA*","level":2,"score":0.471340149641037},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.459757536649704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4328690767288208},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4185664653778076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3493495583534241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2622356712818146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1759113073348999},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.14353707432746887},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1430976390838623},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13273966312408447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13182693719863892},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/hpcs.2005.21","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpcs.2005.21","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"19th International Symposium on High Performance Computing Systems and Applications (HPCS'05)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965728089","https://openalex.org/W1971424358","https://openalex.org/W1985108759","https://openalex.org/W1985741258","https://openalex.org/W1991566497","https://openalex.org/W1994182141","https://openalex.org/W2001683460","https://openalex.org/W2023087742","https://openalex.org/W2025599573","https://openalex.org/W2059976482","https://openalex.org/W2060463003","https://openalex.org/W2063110981","https://openalex.org/W2066612861","https://openalex.org/W2066692739"],"related_works":["https://openalex.org/W2240404672","https://openalex.org/W2089457653","https://openalex.org/W2744612160","https://openalex.org/W2368486505","https://openalex.org/W1986752515","https://openalex.org/W2626373589","https://openalex.org/W2382235839","https://openalex.org/W2163192098","https://openalex.org/W2079323691","https://openalex.org/W2153672924"],"abstract_inverted_index":{"In":[0],"spite":[1],"of":[2,18,22,44,57,64,81,83,90,144],"several":[3],"modeling":[4],"approaches":[5],"to":[6,95,130,162],"understand":[7],"the":[8,19,23,33,58,65,79,88,91,125,132,145,164],"shape":[9],"memory":[10],"alloy":[11],"(SMA)":[12],"behaviour,":[13],"many":[14,96],"difficulties":[15],"exist":[16],"because":[17],"various":[20],"limitations":[21],"existing":[24],"free":[25,92],"energy":[26,84,93],"models.":[27,103],"Associated":[28],"phase":[29,70],"kinetics":[30],"coupled":[31],"with":[32,157],"thermoelastodynamics":[34],"is":[35,47,109,122,140,149,160],"still":[36],"not":[37],"fully":[38],"tractable.":[39],"A":[40,153],"new":[41],"dynamic":[42],"model":[43,108],"3D":[45],"SMA":[46],"developed":[48,106],"in":[49,100,111,151],"this":[50],"paper,":[51],"which":[52,77],"employs":[53],"an":[54],"improved":[55],"version":[56],"microscopic":[59,107],"Landau":[60],"theory.":[61],"Essential":[62],"properties":[63],"single":[66],"and":[67,86,124],"multi-variant":[68],"martensitic":[69],"transformations":[71],"are":[72],"recovered":[73],"using":[74],"consistent":[75,128],"steps,":[76],"eliminates":[78],"problem":[80],"non-uniqueness":[82],"partitioning":[85],"relaxes":[87],"over-sensitivity":[89],"due":[94],"unknown":[97],"material":[98],"constants":[99],"previously":[101],"reported":[102],"The":[104],"newly":[105],"incorporate":[110],"a":[112],"variationally":[113],"formulated":[114],"finite":[115],"element":[116],"framework.":[117],"Newmark's":[118],"time":[119,138,168],"integration":[120],"scheme":[121],"adopted":[123],"condition":[126],"for":[127],"iteration":[129],"solve":[131,163],"strongly":[133],"nonlinear":[134],"system":[135,147,165],"at":[136,166],"each":[137,167],"step":[139],"highlighted.":[141],"Banded":[142],"assembly":[143],"discretized":[146],"matrix":[148],"performed":[150],"parallel.":[152],"parallel":[154],"PCG":[155],"method":[156],"Jacobi":[158],"preconditioner":[159],"employed":[161],"step.":[169]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}