{"id":"https://openalex.org/W7203636562","doi":"https://doi.org/10.1080/01495739.2026.2714918","title":"Transient thermal stress waves in microvoided cylindrical semiconductor metamaterials with bi-fractional heat conduction","display_name":"Transient thermal stress waves in microvoided cylindrical semiconductor metamaterials with bi-fractional heat conduction","publication_year":2026,"publication_date":"2026-08-17","ids":{"openalex":"https://openalex.org/W7203636562","doi":"https://doi.org/10.1080/01495739.2026.2714918"},"language":"en","primary_location":{"id":"doi:10.1080/01495739.2026.2714918","doi":"https://doi.org/10.1080/01495739.2026.2714918","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01495739.2026.2714918","pdf_url":null,"source":{"id":"https://openalex.org/S54937123","display_name":"Journal of Thermal Stresses","issn_l":"0149-5739","issn":["0149-5739","1521-074X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Thermal Stresses","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5016161001","display_name":"Alwaleed Kamel","orcid":"https://orcid.org/0000-0003-0465-7299","observed_orcids":["https://orcid.org/0000-0003-0465-7299"]},"institutions":[{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Alwaleed Kamel","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Islamic University of Madinah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah","institution_ids":["https://openalex.org/I4210151290"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084197852","display_name":"Amr M. S. Mahdy","orcid":"https://orcid.org/0000-0003-2218-5408","observed_orcids":["https://orcid.org/0000-0003-2218-5408"]},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Amr Mahdy","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Taif University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064746735","display_name":"Tarek E. I. Nassar","orcid":"https://orcid.org/0000-0002-9683-7950","observed_orcids":["https://orcid.org/0000-0002-9683-7950"]},"institutions":[{"id":"https://openalex.org/I160419504","display_name":"Higher Technological Institute","ror":"https://ror.org/051q8jk17","country_code":"EG","type":"education","lineage":["https://openalex.org/I160419504"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Tarek E. I. Nassar","raw_affiliation_strings":["Department of Basic Science, Higher Technological Institute, 10th of Ramadan City"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Science, Higher Technological Institute, 10th of Ramadan City","institution_ids":["https://openalex.org/I160419504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108729718","display_name":"Alaa A. El\u2010Bary","orcid":"https://orcid.org/0000-0002-8846-0487","observed_orcids":["https://orcid.org/0000-0002-8846-0487"]},"institutions":[{"id":"https://openalex.org/I59272784","display_name":"Arab Academy for Science, Technology, and Maritime Transport","ror":"https://ror.org/0004vyj87","country_code":"EG","type":"education","lineage":["https://openalex.org/I59272784"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Alaa A. El-Bary","raw_affiliation_strings":["Arab Academy for Science, Technology and Maritime Transport"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arab Academy for Science, Technology and Maritime Transport","institution_ids":["https://openalex.org/I59272784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091376113","display_name":"Kh. Lotfy","orcid":"https://orcid.org/0000-0001-9383-1361","observed_orcids":["https://orcid.org/0000-0001-9383-1361"]},"institutions":[{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Khaled Lotfy","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zagazig University"],"raw_orcid":"https://orcid.org/0000-0001-9383-1361","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zagazig University","institution_ids":["https://openalex.org/I192398990"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5091376113"],"corresponding_institution_ids":["https://openalex.org/I192398990"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9994999766349792,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9994999766349792,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13020","display_name":"Heat Transfer and Mathematical Modeling","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/microvoids","display_name":"microvoids","score":0.7020000219345093},{"id":"https://openalex.org/keywords/semiconductor-metamaterials","display_name":"semiconductor metamaterials","score":0.9800000190734863},{"id":"https://openalex.org/keywords/fractional-heat-conduction","display_name":"fractional heat conduction","score":0.8100000023841858},{"id":"https://openalex.org/keywords/thermal-memory-effect","display_name":"thermal memory effect","score":0.9390000104904175},{"id":"https://openalex.org/keywords/cylindrical-geometry","display_name":"cylindrical geometry","score":0.5659999847412109},{"id":"https://openalex.org/keywords/void-fraction","display_name":"void fraction","score":0.796999990940094},{"id":"https://openalex.org/keywords/wave-attenuation","display_name":"wave attenuation","score":0.5230000019073486},{"id":"https://openalex.org/keywords/propagation-speed","display_name":"propagation velocity","score":0.597000002861023},{"id":"https://openalex.org/keywords/thermo-mechanical-response","display_name":"thermo-mechanical response","score":0.8180000185966492}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7440999746322632},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.7041000127792358},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.6970999836921692},{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.6277999877929688},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6184999942779541},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5663999915122986},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.49399998784065247},{"id":"https://openalex.org/C108225325","wikidata":"https://www.wikidata.org/wiki/Q11456","display_name":"Semiconductor","level":2,"score":0.483599990606308},{"id":"https://openalex.org/C187937830","wikidata":"https://www.wikidata.org/wiki/Q175403","display_name":"Microelectronics","level":2,"score":0.46209999918937683},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.45320001244544983},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.43799999356269836},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.3693000078201294},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C3020116064","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Heat generation","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C201076478","wikidata":"https://www.wikidata.org/wiki/Q211851","display_name":"Cylindrical coordinate system","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.29679998755455017},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2953999936580658},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.29280000925064087},{"id":"https://openalex.org/C43818450","wikidata":"https://www.wikidata.org/wiki/Q7310828","display_name":"Relativistic heat conduction","level":4,"score":0.28459998965263367},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25920000672340393},{"id":"https://openalex.org/C46435376","wikidata":"https://www.wikidata.org/wiki/Q1829750","display_name":"Multiphysics","level":3,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01495739.2026.2714918","doi":"https://doi.org/10.1080/01495739.2026.2714918","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01495739.2026.2714918","pdf_url":null,"source":{"id":"https://openalex.org/S54937123","display_name":"Journal of Thermal Stresses","issn_l":"0149-5739","issn":["0149-5739","1521-074X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Thermal Stresses","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1967848324","https://openalex.org/W1971717868","https://openalex.org/W1972216284","https://openalex.org/W1973038067","https://openalex.org/W1974012238","https://openalex.org/W1976176022","https://openalex.org/W1977160419","https://openalex.org/W1987145007","https://openalex.org/W1993732873","https://openalex.org/W2000761434","https://openalex.org/W2003300787","https://openalex.org/W2016222110","https://openalex.org/W2018829494","https://openalex.org/W2047622789","https://openalex.org/W2049829512","https://openalex.org/W2069344959","https://openalex.org/W2075907212","https://openalex.org/W2089542061","https://openalex.org/W2104344979","https://openalex.org/W2312787122","https://openalex.org/W2608411239","https://openalex.org/W2609813899","https://openalex.org/W3003270083","https://openalex.org/W3004462128","https://openalex.org/W3017256941","https://openalex.org/W3039463678","https://openalex.org/W3040752873","https://openalex.org/W3040984580","https://openalex.org/W3080610326","https://openalex.org/W3100392861","https://openalex.org/W3112656140","https://openalex.org/W4214503973","https://openalex.org/W4220672255","https://openalex.org/W4230822328","https://openalex.org/W4283453662","https://openalex.org/W4311907751","https://openalex.org/W4317663829","https://openalex.org/W4327605557","https://openalex.org/W4384499308","https://openalex.org/W4386306576","https://openalex.org/W4389823401","https://openalex.org/W4400156853","https://openalex.org/W4406145990","https://openalex.org/W4408868107","https://openalex.org/W4410856261","https://openalex.org/W4411911628","https://openalex.org/W4412826786","https://openalex.org/W4413643930","https://openalex.org/W4414650528","https://openalex.org/W7130826454"],"related_works":["https://openalex.org/W7213443422","https://openalex.org/W4414957227","https://openalex.org/W7165519048","https://openalex.org/W7167938076","https://openalex.org/W4381739777","https://openalex.org/W7204657681","https://openalex.org/W4411087463","https://openalex.org/W7167203700","https://openalex.org/W4413281389","https://openalex.org/W4410947517"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,19,74,100],"theoretical":[4],"investigation":[5],"of":[6,31,141,150,160,170,202,217],"transient":[7,126,208],"thermal":[8,53,59,151,171,182,209,224],"stress":[9,86,152,172,188,225],"wave":[10],"propagation":[11,149,168],"in":[12,94,115],"microvoided":[13],"cylindrical":[14,95],"semiconductor":[15,134,204],"metamaterials":[16,205],"governed":[17],"by":[18],"bi-fractional":[20,75,176],"heat":[21,63,76,177],"conduction":[22,64,178],"model.":[23,78],"The":[24,79,154],"formulation":[25],"is":[26,66],"developed":[27],"within":[28,190],"the":[29,45,51,61,104,110,116,139,148,158,164,175,187,191,199,215],"framework":[30],"generalized":[32],"thermoelasticity":[33],"with":[34],"voids,":[35],"where":[36],"microvoids":[37,161],"introduce":[38],"additional":[39],"microstructural":[40],"interactions":[41],"that":[42,157,185],"significantly":[43,162],"influence":[44,140],"material\u2019s":[46],"thermo-mechanical":[47,200],"response.":[48],"To":[49],"capture":[50],"complex":[52],"memory":[54,183],"effects":[55,184],"occurring":[56],"under":[57],"rapid":[58],"loading,":[60],"classical":[62],"equation":[65],"extended":[67],"through":[68],"two":[69],"fractional":[70,142],"time":[71],"derivatives,":[72],"forming":[73],"transport":[77],"governing":[80],"coupled":[81],"equations":[82],"for":[83,109],"displacement,":[84],"temperature,":[85],"fields,":[87],"and":[88,97,119,144,167,211,223],"void":[89],"volume":[90],"fraction":[91],"are":[92,113,131],"derived":[93],"coordinates":[96],"transformed":[98],"into":[99,198],"solvable":[101],"form":[102],"using":[103],"Laplace":[105],"transform.":[106],"Analytical":[107],"expressions":[108],"thermoelastic":[111],"fields":[112],"obtained":[114],"transform":[117],"domain":[118],"subsequently":[120],"inverted":[121],"numerically":[122],"to":[123,137,207,214],"evaluate":[124],"their":[125],"spatial":[127],"behavior.":[128],"Numerical":[129],"simulations":[130],"performed":[132],"on":[133,147],"metamaterial":[135],"parameters":[136],"illustrate":[138],"orders":[143],"microvoid":[145],"characteristics":[146],"waves.":[153],"results":[155],"demonstrate":[156],"presence":[159],"modifies":[163],"amplitude,":[165],"attenuation,":[166],"speed":[169],"waves,":[173],"while":[174],"mechanism":[179],"introduces":[180],"pronounced":[181],"alter":[186],"distribution":[189],"medium.":[192],"These":[193],"findings":[194],"provide":[195],"new":[196],"insight":[197],"behavior":[201],"microstructured":[203],"subjected":[206],"excitations":[210],"may":[212],"contribute":[213],"design":[216],"advanced":[218],"microelectronic":[219],"devices,":[220],"photothermal":[221],"systems,":[222],"management":[226],"technologies.":[227]},"counts_by_year":[],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2026-08-18T00:00:00"}