Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4386838038', 'doi': 'https://doi.org/10.1142/s021797922450351x', 'title': 'On effective thermal conductivity of heterogeneous material: From periodic unit inclusion cell to large representative volume element', 'display_name': 'On effective thermal conductivity of heterogeneous material: From periodic unit inclusion cell to large representative volume element', 'publication_year': 2023, 'publication_date': '2023-09-18', 'ids': {'openalex': 'https://openalex.org/W4386838038', 'doi': 'https://doi.org/10.1142/s021797922450351x'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s021797922450351x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S130197424', 'display_name': 'International Journal of Modern Physics B', 'issn_l': '0217-9792', 'issn': ['0217-9792', '1793-6578'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319815', 'host_organization_name': 'World Scientific', 'host_organization_lineage': ['https://openalex.org/P4310319815'], 'host_organization_lineage_names': ['World Scientific'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5062461987', 'display_name': 'Yanlong Zhan', 'orcid': 'https://orcid.org/0000-0003-1356-422X'}, 'institutions': [{'id': 'https://openalex.org/I102345215', 'display_name': 'Xihua University', 'ror': 'https://ror.org/04gwtvf26', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I102345215']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Y. L. Zhan', 'raw_affiliation_strings': ['Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China', 'institution_ids': ['https://openalex.org/I102345215']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5046395967', 'display_name': 'Wahid Kaddouri', 'orcid': 'https://orcid.org/0000-0002-2654-815X'}, 'institutions': [{'id': 'https://openalex.org/I162489102', 'display_name': 'University of Batna 1', 'ror': 'https://ror.org/04hrbe508', 'country_code': 'DZ', 'type': 'education', 'lineage': ['https://openalex.org/I162489102']}], 'countries': ['DZ'], 'is_corresponding': False, 'raw_author_name': 'W. Kaddouri', 'raw_affiliation_strings': ['Laboratoire de Mécanique des Structures et Matériaux, University of Batna 2, Algeria'], 'affiliations': [{'raw_affiliation_string': 'Laboratoire de Mécanique des Structures et Matériaux, University of Batna 2, Algeria', 'institution_ids': ['https://openalex.org/I162489102']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5092896884', 'display_name': 'T. Kanit', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I2279609970', 'display_name': 'Université de Lille', 'ror': 'https://ror.org/02kzqn938', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2279609970']}, {'id': 'https://openalex.org/I4387155272', 'display_name': 'Unité de Mécanique de Lille - Joseph Boussinesq', 'ror': 'https://ror.org/00tt79z10', 'country_code': None, 'type': 'facility', 'lineage': ['https://openalex.org/I2279609970', 'https://openalex.org/I4387155272', 'https://openalex.org/I7454413']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'T. Kanit', 'raw_affiliation_strings': ['Univ. Lille, Unité de Mécanique de Lille J. Boussinesq, ULR 7512, F59655 Villeneuve d’Ascq, France'], 'affiliations': [{'raw_affiliation_string': 'Univ. Lille, Unité de Mécanique de Lille J. Boussinesq, ULR 7512, F59655 Villeneuve d’Ascq, France', 'institution_ids': ['https://openalex.org/I2279609970', 'https://openalex.org/I4387155272']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5013950924', 'display_name': 'Qifeng Jiang', 'orcid': 'https://orcid.org/0000-0003-3479-7006'}, 'institutions': [{'id': 'https://openalex.org/I102345215', 'display_name': 'Xihua University', 'ror': 'https://ror.org/04gwtvf26', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I102345215']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Q. Jiang', 'raw_affiliation_strings': ['Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China', 'institution_ids': ['https://openalex.org/I102345215']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5085553072', 'display_name': 'L. R. Liu', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I102345215', 'display_name': 'Xihua University', 'ror': 'https://ror.org/04gwtvf26', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I102345215']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'L. R. Liu', 'raw_affiliation_strings': ['Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'Key Laboratory of Fluid and Power Machinery, Ministry of Education, Xihua University, P. R. China', 'institution_ids': ['https://openalex.org/I102345215']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5037216148', 'display_name': 'A. Imad', 'orcid': 'https://orcid.org/0000-0002-3174-987X'}, 'institutions': [{'id': 'https://openalex.org/I2279609970', 'display_name': 'Université de Lille', 'ror': 'https://ror.org/02kzqn938', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2279609970']}, {'id': 'https://openalex.org/I4387155272', 'display_name': 'Unité de Mécanique de Lille - Joseph Boussinesq', 'ror': 'https://ror.org/00tt79z10', 'country_code': None, 'type': 'facility', 'lineage': ['https://openalex.org/I2279609970', 'https://openalex.org/I4387155272', 'https://openalex.org/I7454413']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'A. Imad', 'raw_affiliation_strings': ['Univ. Lille, Unité de Mécanique de Lille J. Boussinesq, ULR 7512, F59655 Villeneuve d’Ascq, France'], 'affiliations': [{'raw_affiliation_string': 'Univ. Lille, Unité de Mécanique de Lille J. Boussinesq, ULR 7512, F59655 Villeneuve d’Ascq, France', 'institution_ids': ['https://openalex.org/I2279609970', 'https://openalex.org/I4387155272']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, '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': {'min': 0, 'max': 68}, 'biblio': {'volume': '38', 'issue': '26', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11558', 'display_name': 'Composite Material Mechanics', 'score': 1.0, '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/T11558', 'display_name': 'Composite Material Mechanics', 'score': 1.0, '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/T10514', 'display_name': 'Numerical methods in engineering', 'score': 0.9993, '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/T12100', 'display_name': 'Advanced Mathematical Modeling in Engineering', 'score': 0.9977, '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/homogenization', 'display_name': 'Homogenization', 'score': 0.84651417}, {'id': 'https://openalex.org/keywords/periodic-boundary-conditions', 'display_name': 'Periodic boundary conditions', 'score': 0.8112282}, {'id': 'https://openalex.org/keywords/representative-elementary-volume', 'display_name': 'Representative elementary volume', 'score': 0.77055836}, {'id': 'https://openalex.org/keywords/volume-fraction', 'display_name': 'Volume fraction', 'score': 0.49461982}], 'concepts': [{'id': 'https://openalex.org/C2778722038', 'wikidata': 'https://www.wikidata.org/wiki/Q17030643', 'display_name': 'Homogenization (climate)', 'level': 3, 'score': 0.84651417}, {'id': 'https://openalex.org/C112675119', 'wikidata': 'https://www.wikidata.org/wiki/Q2992284', 'display_name': 'Periodic boundary conditions', 'level': 3, 'score': 0.8112282}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.7908326}, {'id': 'https://openalex.org/C160635147', 'wikidata': 'https://www.wikidata.org/wiki/Q7314248', 'display_name': 'Representative elementary volume', 'level': 3, 'score': 0.77055836}, {'id': 'https://openalex.org/C97346530', 'wikidata': 'https://www.wikidata.org/wiki/Q487005', 'display_name': 'Thermal conductivity', 'level': 2, 'score': 0.7100726}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.622538}, {'id': 'https://openalex.org/C182310444', 'wikidata': 'https://www.wikidata.org/wiki/Q1332643', 'display_name': 'Boundary value problem', 'level': 2, 'score': 0.56056064}, {'id': 'https://openalex.org/C104779481', 'wikidata': 'https://www.wikidata.org/wiki/Q50707', 'display_name': 'Composite number', 'level': 2, 'score': 0.55366623}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.53125376}, {'id': 'https://openalex.org/C34800285', 'wikidata': 'https://www.wikidata.org/wiki/Q5159395', 'display_name': 'Conductor', 'level': 2, 'score': 0.5049513}, {'id': 'https://openalex.org/C204530211', 'wikidata': 'https://www.wikidata.org/wiki/Q752823', 'display_name': 'Thermal', 'level': 2, 'score': 0.5021801}, {'id': 'https://openalex.org/C65590680', 'wikidata': 'https://www.wikidata.org/wiki/Q909482', 'display_name': 'Volume fraction', 'level': 2, 'score': 0.49461982}, {'id': 'https://openalex.org/C31555180', 'wikidata': 'https://www.wikidata.org/wiki/Q3523867', 'display_name': 'Material properties', 'level': 2, 'score': 0.42341474}, {'id': 'https://openalex.org/C18762648', 'wikidata': 'https://www.wikidata.org/wiki/Q42213', 'display_name': 'Work (physics)', 'level': 2, 'score': 0.41836014}, {'id': 'https://openalex.org/C87976508', 'wikidata': 'https://www.wikidata.org/wiki/Q1498213', 'display_name': 'Microstructure', 'level': 2, 'score': 0.36882478}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.14622149}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.1362907}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.09052205}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.089442134}, {'id': 'https://openalex.org/C130217890', 'wikidata': 'https://www.wikidata.org/wiki/Q47041', 'display_name': 'Biodiversity', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s021797922450351x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S130197424', 'display_name': 'International Journal of Modern Physics B', 'issn_l': '0217-9792', 'issn': ['0217-9792', '1793-6578'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319815', 'host_organization_name': 'World Scientific', 'host_organization_lineage': ['https://openalex.org/P4310319815'], 'host_organization_lineage_names': ['World Scientific'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-04667438', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '51769035'}], 'datasets': [], 'versions': [], 'referenced_works_count': 27, 'referenced_works': ['https://openalex.org/W1429631889', 'https://openalex.org/W1993423608', 'https://openalex.org/W2005691621', 'https://openalex.org/W2012492385', 'https://openalex.org/W2038653305', 'https://openalex.org/W2045503439', 'https://openalex.org/W2105975765', 'https://openalex.org/W2108888387', 'https://openalex.org/W2136000953', 'https://openalex.org/W2403567063', 'https://openalex.org/W2406639794', 'https://openalex.org/W2559831163', 'https://openalex.org/W2772272519', 'https://openalex.org/W2773198807', 'https://openalex.org/W2797395480', 'https://openalex.org/W2808349584', 'https://openalex.org/W2891923472', 'https://openalex.org/W2904005043', 'https://openalex.org/W2915328889', 'https://openalex.org/W2924985974', 'https://openalex.org/W2971806849', 'https://openalex.org/W2986285300', 'https://openalex.org/W2990889876', 'https://openalex.org/W3023701347', 'https://openalex.org/W3091649470', 'https://openalex.org/W3092350293', 'https://openalex.org/W3108042576'], 'related_works': ['https://openalex.org/W4287871859', 'https://openalex.org/W3004988633', 'https://openalex.org/W2976367905', 'https://openalex.org/W2593108601', 'https://openalex.org/W2550220886', 'https://openalex.org/W2195213680', 'https://openalex.org/W2141622991', 'https://openalex.org/W2055958952', 'https://openalex.org/W2030960401', 'https://openalex.org/W1970402350'], 'abstract_inverted_index': {'The': [0, 85, 187], 'custom': [1], 'design': [2], 'of': [3, 10, 23, 49, 58, 88, 95, 99, 119, 139, 189, 195, 200, 223, 226, 240, 282, 288], 'a': [4, 38, 68, 102, 193, 254, 279], 'composite': [5, 60, 304], 'material': [6], 'requires': [7], 'the': [8, 21, 24, 44, 56, 59, 108, 115, 122, 127, 131, 158, 196, 202, 212, 215, 224, 227, 234, 237, 245, 251, 264, 267, 286, 289, 303, 310], 'knowledge': [9], 'its': [11, 63, 73], 'effective': [12, 45, 162, 197], 'behavior': [13, 57, 247], 'which': [14, 205, 301], 'depends': [15], 'on': [16, 43, 55, 107, 183, 233, 285], 'several': [17], 'parameters': [18, 36, 52], 'such': [19], 'as': [20, 65, 67, 82, 209, 248], 'properties': [22], 'constituents,': [25], 'their': [26], 'distributions,': [27], 'shapes': [28], 'and': [29, 40, 130, 150, 163, 175, 229, 232, 273, 284, 308], 'sizes.': [30], 'In': [31, 154], 'thermal': [32, 46, 198], 'conductivity,': [33], 'all': [34, 96, 184, 201], 'these': [35], 'have': [37, 244], 'direct': [39], 'significant': [41], 'influence': [42], 'conductivity': [47], '(ETC)': [48], 'composites.': [50], 'These': [51], 'act': [53], 'differently': [54], 'according': [61], 'to': [62, 156, 297], 'use': [64], 'much': [66], 'good': [69], 'conductor': [70], 'by': [71, 76, 79, 101, 126], 'improving': [72], 'ETC': [74, 100, 268], 'or': [75, 256], 'reducing': [77], 'it': [78, 81, 295, 314], 'considering': [80], 'an': [83, 92], 'insulator.': [84], 'main': [86, 117], 'goal': [87], 'this': [89, 113, 190, 292], 'work': [90], 'is': [91, 219, 276], 'extensive': [93], 'study': [94, 191, 261, 293], 'possible': [97, 203, 296], 'situations': [98, 204, 265], 'numerical': [103], 'homogenization': [104, 275], 'technique': [105], 'based': [106], 'Finite': [109], 'Elements': [110], 'Method.': [111], 'For': [112, 136], 'purpose,': [114], 'two': [116, 165, 238], 'categories': [118], 'composites,': [120], 'namely': [121, 168], 'periodic': [123, 228], 'composites': [124, 231, 241], 'represented': [125], 'unit': [128], 'cell': [129], 'random': [132, 230], 'RVE,': [133], 'are': [134, 152, 161], 'considered.': [135], 'each': [137], 'category': [138], 'composite,': [140], 'different': [141, 143], 'contrasts,': [142], 'particles’': [144], 'volume': [145], 'fractions,': [146], 'aspect': [147], 'ratios,': [148], 'positions,': [149], 'orientations': [151], 'studied.': [153], 'order': [155], 'ensure': [157], 'simulation': [159], 'results': [160, 188], 'representative,': [164], 'boundary': [166], 'conditions,': [167], 'Uniform': [169], 'Temperature': [170], 'Gradient': [171], 'Boundary': [172, 178], 'Conditions': [173, 179], '(UGT)': [174], 'Periodic': [176], 'Thermal': [177], '(PBC),': [180], 'were': [181], 'imposed': [182], 'considered': [185], 'microstructures.': [186], 'constitute': [192], 'synthesis': [194], 'conductivities': [199], 'can': [206, 269], 'be': [207, 270], 'summarized': [208], 'follows:': [210], 'On': [211], 'one': [213], 'hand,': [214, 236], 'reinforcements': [216, 252], 'shape': [217], 'effect': [218], 'very': [220], 'important': [221], 'irrespective': [222], 'nature': [225], 'other': [235], 'types': [239], 'do': [242], 'not': [243], 'same': [246], 'that': [249], 'for': [250], 'with': [253], 'circular': [255, 258], 'almost': [257], 'shape.': [259], 'This': [260], 'also': [262], 'emphasizes': [263], 'where': [266], 'estimated': [271], 'analytically': [272], 'when': [274, 313], 'necessary.': [277], 'From': [278], 'practical': [280], 'point': [281], 'view,': [283], 'basis': [287], 'obtained': [290], 'results,': [291], 'made': [294], 'show': [298], 'clearly': [299], 'in': [300, 309], 'situation': [302], 'becomes': [305, 315], 'more': [306, 316], 'conducting': [307], 'opposite': [311], 'case': [312], 'insulating.': [317]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4386838038', 'counts_by_year': [], 'updated_date': '2024-12-15T04:32:09.371296', 'created_date': '2023-09-19'}