{"id":"https://openalex.org/W2111284495","doi":"https://doi.org/10.1155/2013/385278","title":"Micromechanical Formulation of the Yield Surface in the Plasticity of Granular Materials","display_name":"Micromechanical Formulation of the Yield Surface in the Plasticity of Granular Materials","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2111284495","doi":"https://doi.org/10.1155/2013/385278","mag":"2111284495"},"language":"en","primary_location":{"id":"doi:10.1155/2013/385278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/385278","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/385278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/385278.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077814579","display_name":"Homayoun Shaverdi","orcid":"https://orcid.org/0000-0002-9888-4363"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Homayoun Shaverdi","raw_affiliation_strings":["Universiti Kebangsaan Malaysia (UKM), 43600 Bandar Baru Bangi, Selangor","Universiti Kebangsaan Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-9888-4363","affiliations":[{"raw_affiliation_string":"Universiti Kebangsaan Malaysia (UKM), 43600 Bandar Baru Bangi, Selangor","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"Universiti Kebangsaan Malaysia","institution_ids":["https://openalex.org/I885383172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027399242","display_name":"Mohd Raihan Taha","orcid":"https://orcid.org/0000-0001-6719-9147"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Mohd. Raihan Taha","raw_affiliation_strings":["Universiti Kebangsaan Malaysia (UKM), 43600 Bandar Baru Bangi, Selangor","Department of Civil & Structural Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universiti Kebangsaan Malaysia (UKM), 43600 Bandar Baru Bangi, Selangor","institution_ids":["https://openalex.org/I885383172"]},{"raw_affiliation_string":"Department of Civil & Structural Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083658114","display_name":"Farzin Kalantary","orcid":"https://orcid.org/0000-0001-6391-5679"},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Farzin Kalantary","raw_affiliation_strings":["Department of Geotechnical Engineering, Faculty of Civil Engineering, K. N. Toosi University of Technology, 1346 Vali Asr Street, Vanak, Tehran 19697","K.N. Toosi university of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Geotechnical Engineering, Faculty of Civil Engineering, K. N. Toosi University of Technology, 1346 Vali Asr Street, Vanak, Tehran 19697","institution_ids":["https://openalex.org/I80543232"]},{"raw_affiliation_string":"K.N. Toosi university of Technology","institution_ids":["https://openalex.org/I80543232"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077814579"],"corresponding_institution_ids":["https://openalex.org/I885383172"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.2942,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.83229159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11375","display_name":"Geotechnical Engineering and Soil Stabilization","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9925000071525574,"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/anisotropy","display_name":"Anisotropy","score":0.6817119121551514},{"id":"https://openalex.org/keywords/yield-surface","display_name":"Yield surface","score":0.5540637969970703},{"id":"https://openalex.org/keywords/yield","display_name":"Yield (engineering)","score":0.5507664084434509},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.512208878993988},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.461304247379303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4327983558177948},{"id":"https://openalex.org/keywords/plasticity","display_name":"Plasticity","score":0.4175678789615631},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.32068106532096863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2856276035308838},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2031477987766266},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18655502796173096},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.17530924081802368},{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.08487176895141602}],"concepts":[{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6817119121551514},{"id":"https://openalex.org/C49932977","wikidata":"https://www.wikidata.org/wiki/Q2288902","display_name":"Yield surface","level":4,"score":0.5540637969970703},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.5507664084434509},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.512208878993988},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.461304247379303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4327983558177948},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.4175678789615631},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32068106532096863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2856276035308838},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2031477987766266},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18655502796173096},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.17530924081802368},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.08487176895141602}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/385278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/385278","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/385278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807584","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394807584","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:385278","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/385278.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:7b3e1b05879e4566825139eaf7d69c86","is_oa":true,"landing_page_url":"https://doaj.org/article/7b3e1b05879e4566825139eaf7d69c86","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/385278","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/385278","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/385278.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2111284495.pdf","grobid_xml":"https://content.openalex.org/works/W2111284495.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W66979305","https://openalex.org/W1970296187","https://openalex.org/W1970571880","https://openalex.org/W1970905914","https://openalex.org/W1989920644","https://openalex.org/W1992127846","https://openalex.org/W1993659073","https://openalex.org/W2011791400","https://openalex.org/W2012453282","https://openalex.org/W2014812155","https://openalex.org/W2033720775","https://openalex.org/W2039959066","https://openalex.org/W2060157770","https://openalex.org/W2065283248","https://openalex.org/W2072587327","https://openalex.org/W2093068936","https://openalex.org/W2101818772","https://openalex.org/W2109076212","https://openalex.org/W2115110599","https://openalex.org/W2118068135","https://openalex.org/W2139161001","https://openalex.org/W2145598760","https://openalex.org/W2310831786","https://openalex.org/W2322275441","https://openalex.org/W2322891227","https://openalex.org/W2403827640","https://openalex.org/W4231219210"],"related_works":["https://openalex.org/W1997383897","https://openalex.org/W2053331726","https://openalex.org/W1973499365","https://openalex.org/W2037999163","https://openalex.org/W2012832659","https://openalex.org/W2560886934","https://openalex.org/W2334820292","https://openalex.org/W4236214714","https://openalex.org/W2802652497","https://openalex.org/W4318939029"],"abstract_inverted_index":{"An":[0],"equation":[1],"is":[2,34,45,59,163,173],"proposed":[3],"to":[4,30,165],"unify":[5],"the":[6,14,38,62,140,144,153,171],"yield":[7],"surface":[8],"of":[9,40,64,143,170],"granular":[10,41],"materials":[11],"by":[12,22,61,175],"incorporating":[13],"fabric":[15],"and":[16,53,139],"its":[17],"evolution.":[18],"In":[19],"microlevel":[20],"analysis":[21],"employing":[23],"a":[24,48],"Fourier":[25],"series":[26],"that":[27],"was":[28],"developed":[29],"model":[31],"fabric,":[32],"it":[33],"directly":[35],"included":[36],"in":[37],"strength":[39],"materials.":[42],"Inherent":[43],"anisotropy":[44,58,65],"defined":[46,60],"as":[47],"noncoaxiality":[49],"between":[50,149],"deposition":[51],"angle":[52],"principal":[54],"compressive":[55],"stress.":[56],"Stress-induced":[57],"degree":[63],"<svg":[66],"style=\"vertical-align:-0.1638pt;width:9.7749996px;\"":[67],"id=\"M1\"":[68],"height=\"7.9499998\"":[69],"version=\"1.1\"":[70],"viewBox=\"0":[71],"0":[72,86,94,102,118,126,134],"9.7749996":[73],"7.9499998\"":[74],"width=\"9.7749996\"":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"":[76],"xmlns=\"http://www.w3.org/2000/svg\">":[77],"<g":[78],"transform=\"matrix(.017,-0,0,-.017,.062,7.675)\"><path":[79],"id=\"x1D6FC\"":[80],"d=\"M545":[81],"106q-67":[82],"-118":[83],"-134":[84],"-118q-24":[85],"-40":[87],"37.5t-30":[88],"129.5h-2q-47":[89],"-72":[90],"-103":[91],"-119.5t-108":[92],"-47.5q-47":[93],"-76":[95],"45.5t-29":[96],"119.5q0":[97],"113":[98],"85":[99],"204t174":[100],"91q47":[101],"70":[103],"-33.5t43":[104],"-119.5h3q32":[105],"47":[106],"80":[107],"140l55":[108],"13l10":[109],"-9q-47":[110],"-80":[111],"-138":[112],"-201q17":[113],"-99":[114],"27.5":[115],"-136t22.5":[116],"-37q23":[117],"69":[119],"61zM333":[120],"204&#xA;q-14":[121],"98":[122],"-31":[123],"149.5t-50":[124],"51.5q-49":[125],"-94":[127],"-70t-45":[128],"-164q0":[129],"-55":[130],"15.5":[131],"-86t40.5":[132],"-31q70":[133],"164":[135],"150z\"":[136],"/></g>":[137],"</svg>":[138],"major":[141],"direction":[142],"contact":[145],"normals.":[146],"The":[147,168],"difference":[148],"samples":[150],"which":[151],"have":[152],"same":[154],"density":[155],"(or":[156],"void":[157],"ratio)":[158],"but":[159],"different":[160],"bedding":[161],"angles":[162],"attributed":[164],"this":[166],"equation.":[167],"validity":[169],"formulation":[172],"verified":[174],"comparison":[176],"with":[177],"experimental":[178],"data.":[179]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
