{"id":"https://openalex.org/W2040117875","doi":"https://doi.org/10.1142/s0219525901000425","title":"NONLINEAR ELASTICITY AND THERMODYNAMICS OF GRANULAR MATERIALS","display_name":"NONLINEAR ELASTICITY AND THERMODYNAMICS OF GRANULAR MATERIALS","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2040117875","doi":"https://doi.org/10.1142/s0219525901000425","mag":"2040117875"},"language":"en","primary_location":{"id":"doi:10.1142/s0219525901000425","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525901000425","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","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/A5062969234","display_name":"Hern\u00e1n A. Makse","orcid":"https://orcid.org/0000-0001-6474-1324"},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"HERN\u00c1N A. MAKSE","raw_affiliation_strings":["Levich Institute and Physics Department,  City College of New York, New York, New York 10031, USA","Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA"],"affiliations":[{"raw_affiliation_string":"Levich Institute and Physics Department,  City College of New York, New York, New York 10031, USA","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA","institution_ids":["https://openalex.org/I125687163"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062969234"],"corresponding_institution_ids":["https://openalex.org/I125687163"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14047554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"04","issue":"04","first_page":"491","last_page":"501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10615","display_name":"Granular flow and fluidized beds","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10413","display_name":"High-pressure geophysics and materials","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.9962999820709229,"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/granular-material","display_name":"Granular material","score":0.7156099677085876},{"id":"https://openalex.org/keywords/jamming","display_name":"Jamming","score":0.6814587116241455},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.6482639312744141},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5541014671325684},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5415975451469421},{"id":"https://openalex.org/keywords/fragility","display_name":"Fragility","score":0.5139815211296082},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5129970908164978},{"id":"https://openalex.org/keywords/elastic-modulus","display_name":"Elastic modulus","score":0.5043379068374634},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.48109859228134155},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.4347872734069824},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4037124216556549},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39791741967201233},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.354938805103302},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34432244300842285},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.31689900159835815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2822835445404053},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.08068042993545532}],"concepts":[{"id":"https://openalex.org/C32568104","wikidata":"https://www.wikidata.org/wiki/Q1155083","display_name":"Granular material","level":2,"score":0.7156099677085876},{"id":"https://openalex.org/C2779079576","wikidata":"https://www.wikidata.org/wiki/Q17092823","display_name":"Jamming","level":2,"score":0.6814587116241455},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.6482639312744141},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5541014671325684},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5415975451469421},{"id":"https://openalex.org/C80191262","wikidata":"https://www.wikidata.org/wiki/Q5477668","display_name":"Fragility","level":2,"score":0.5139815211296082},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5129970908164978},{"id":"https://openalex.org/C43486711","wikidata":"https://www.wikidata.org/wiki/Q192005","display_name":"Elastic modulus","level":2,"score":0.5043379068374634},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.48109859228134155},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.4347872734069824},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4037124216556549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39791741967201233},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.354938805103302},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34432244300842285},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.31689900159835815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2822835445404053},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08068042993545532},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219525901000425","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219525901000425","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Complex Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000425","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219525901000425","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:RePEc:wsi:acsxxx:v:04:y:2001:i:04:p:491-501","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525901000425","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1811460226","https://openalex.org/W1965474275","https://openalex.org/W1968394147","https://openalex.org/W1972739736","https://openalex.org/W1978566203","https://openalex.org/W1980144709","https://openalex.org/W1985304345","https://openalex.org/W1997992337","https://openalex.org/W1998366992","https://openalex.org/W2003568319","https://openalex.org/W2004967763","https://openalex.org/W2008375313","https://openalex.org/W2009769479","https://openalex.org/W2010739090","https://openalex.org/W2013559746","https://openalex.org/W2022923036","https://openalex.org/W2061968698","https://openalex.org/W2071437855","https://openalex.org/W2072839615","https://openalex.org/W2085152506","https://openalex.org/W2087920936","https://openalex.org/W2090216453","https://openalex.org/W2138743461"],"related_works":["https://openalex.org/W1979571865","https://openalex.org/W4283651292","https://openalex.org/W2079972888","https://openalex.org/W1505219605","https://openalex.org/W2982196623","https://openalex.org/W4293569367","https://openalex.org/W2558906332","https://openalex.org/W3094159717","https://openalex.org/W4387445398","https://openalex.org/W1964567241"],"abstract_inverted_index":{"The":[0],"elastic":[1,98,116,146],"properties":[2,14],"of":[3,15,22,26,91,139,158,177],"granular":[4,24,178],"materials":[5],"can":[6],"be":[7,66,121],"enormously":[8],"nonlinear":[9],"as":[10,82,172],"compared":[11],"with":[12,38,69,88,96,107],"the":[13,30,39,44,54,57,74,80,85,89,92,97,103,108,110,115,134,145,156],"non-porous":[16],"materials.":[17,179],"Experiments":[18],"on":[19,155,162],"isotropic":[20],"compression":[21],"a":[23,70],"assembly":[25],"spheres":[27],"show":[28],"that":[29,102],"shear":[31,61],"\u03bc,":[32],"and":[33,60,136,167,175],"bulk":[34,59],"k,":[35],"moduli":[36,62],"vary":[37],"confining":[40],"pressure":[41],"faster":[42],"than":[43,73,144],"1/3":[45],"power":[46],"law":[47],"predicted":[48],"by":[49],"Hertz\u2013Mindlin":[50],"elasticity":[51,165],"theory.":[52],"Moreover,":[53],"ratio":[55],"between":[56],"experimental":[58,135],"is":[63,118],"found":[64,119],"to":[65,83,120,126],"constant":[67],"but":[68,125],"value":[71],"larger":[72],"theoretical":[75],"prediction.":[76],"Numerical":[77],"simulations":[78],"resolve":[79],"question":[81],"whether":[84],"problem":[86,104,160],"lies":[87,105],"treatment":[90],"grain-grain":[93],"contact":[94],"or":[95],"framework.":[99],"We":[100],"find":[101],"principally":[106],"latter;":[109],"affine":[111],"assumption":[112],"(which":[113],"underlies":[114],"formulation)":[117],"valid":[122],"for":[123,129],"k":[124],"breakdown":[127],"seriously":[128],"\u03bc.":[130],"This":[131],"explains":[132],"why":[133],"numerical":[137],"values":[138],"\u03bc(p)":[140],"are":[141],"much":[142],"smaller":[143],"predictions.":[147],"In":[148],"this":[149,159],"paper":[150],"we":[151],"review":[152],"recent":[153],"progress":[154],"understanding":[157],"based":[161],"microscopic":[163],"simulations,":[164],"theory":[166],"more":[168],"innovative":[169],"ideas":[170],"such":[171],"jamming,":[173],"fragility":[174],"thermodynamics":[176]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}