{"id":"https://openalex.org/W2027434365","doi":"https://doi.org/10.1137/s1064827501396774","title":"Numerical Justification of Branched Laminated Microstructure with Surface Energy","display_name":"Numerical Justification of Branched Laminated Microstructure with Surface Energy","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2027434365","doi":"https://doi.org/10.1137/s1064827501396774","mag":"2027434365"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827501396774","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501396774","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5100669374","display_name":"Zhiping Li","orcid":"https://orcid.org/0000-0002-0055-6637"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhiping Li","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100669374"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4916,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87160736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"3","first_page":"1054","last_page":"1075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9987000226974487,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9987000226974487,"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/T10865","display_name":"Shape Memory Alloy Transformations","score":0.9986000061035156,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.6754562854766846},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.57096266746521},{"id":"https://openalex.org/keywords/surface-energy","display_name":"Surface energy","score":0.5679885745048523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5677812099456787},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5550654530525208},{"id":"https://openalex.org/keywords/martensite","display_name":"Martensite","score":0.5189792513847351},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4967654347419739},{"id":"https://openalex.org/keywords/austenite","display_name":"Austenite","score":0.49613937735557556},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.43715861439704895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4243046045303345},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3822571933269501},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3341609239578247},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.3026277422904968},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14535510540008545}],"concepts":[{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.6754562854766846},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.57096266746521},{"id":"https://openalex.org/C195839","wikidata":"https://www.wikidata.org/wiki/Q901959","display_name":"Surface energy","level":2,"score":0.5679885745048523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5677812099456787},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5550654530525208},{"id":"https://openalex.org/C18747287","wikidata":"https://www.wikidata.org/wiki/Q488950","display_name":"Martensite","level":3,"score":0.5189792513847351},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4967654347419739},{"id":"https://openalex.org/C96288455","wikidata":"https://www.wikidata.org/wiki/Q487286","display_name":"Austenite","level":3,"score":0.49613937735557556},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.43715861439704895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4243046045303345},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3822571933269501},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3341609239578247},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3026277422904968},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14535510540008545},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827501396774","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501396774","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.7699999809265137,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966779513","https://openalex.org/W1977889882","https://openalex.org/W1992117781","https://openalex.org/W2001021264","https://openalex.org/W2009197023","https://openalex.org/W2015300136","https://openalex.org/W2030579135","https://openalex.org/W2033918640","https://openalex.org/W2034530721","https://openalex.org/W2053105558","https://openalex.org/W2059246780","https://openalex.org/W2062546867","https://openalex.org/W2062618977","https://openalex.org/W2076689817","https://openalex.org/W2135537438","https://openalex.org/W2162934204","https://openalex.org/W2163055580","https://openalex.org/W4238001791"],"related_works":["https://openalex.org/W2296380465","https://openalex.org/W2255033110","https://openalex.org/W2023537338","https://openalex.org/W2006262061","https://openalex.org/W2607013279","https://openalex.org/W2343732621","https://openalex.org/W2950048884","https://openalex.org/W2118667603","https://openalex.org/W2626259190","https://openalex.org/W2605831359"],"abstract_inverted_index":{"A":[0,15],"mathematical":[1],"model":[2],"is":[3,24,62],"given":[4],"to":[5,26],"study":[6],"the":[7,34,49,55,70],"branched":[8,50,71],"laminated":[9],"microstructure":[10],"in":[11,69],"austenite-martensite":[12],"phase":[13],"transition.":[14],"numerical":[16,35,56],"method":[17,23],"based":[18],"on":[19],"a":[20,27],"mesh":[21],"transformation":[22],"applied":[25],"two":[28],"dimensional":[29],"elastic":[30],"crystal":[31],"model,":[32],"and":[33,45],"results":[36,57],"show":[37,59],"that,":[38],"for":[39],"sufficiently":[40,46],"small":[41],"surface":[42],"energy":[43],"density":[44],"long":[47],"laminates,":[48],"laminates":[51],"are":[52],"energetically":[53],"favorable;":[54],"also":[58],"that":[60],"there":[61],"certain":[63],"finite":[64],"order":[65],"asymptotically":[66],"self-similar":[67],"structure":[68],"laminates.":[72]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
