Monte Carlo model for the study of percolation thresholds in composites filled with circular conductive nano-disks
The subject of the study described in this paper is the percolation threshold of composites with conductive nano-scale fillers. Specifically, a three-dimensional continuous Monte Carlo algorithm was developed to determine the percolation threshold of polymers filled with two-dimensional conductive c...
Saved in:
| Published in | Procedia engineering Vol. 10; pp. 403 - 408 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
2011
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | The subject of the study described in this paper is the percolation threshold of composites with conductive nano-scale fillers. Specifically, a three-dimensional continuous Monte Carlo algorithm was developed to determine the percolation threshold of polymers filled with two-dimensional conductive circular nano-disks. The Monte Carlo simulation provides the threshold value of the filler loading when at least one percolation network is formed. A scaling study was carried out to determine the minimum dimension of the representative unit volume that ensures a percolation threshold that is independent of the unit cell size. The effect of the aspect ratio of the nano-particles and the tunneling distance on the percolation threshold was investigated employing the developed model. © 2011 Published by Elsevier Ltd. Selection and peer-review under responsibility of ICM11 |
|---|---|
| AbstractList | The subject of the study described in this paper is the percolation threshold of composites with conductive nano-scale fillers. Specifically, a three-dimensional continuous Monte Carlo algorithm was developed to determine the percolation threshold of polymers filled with two-dimensional conductive circular nano-disks. The Monte Carlo simulation provides the threshold value of the filler loading when at least one percolation network is formed. A scaling study was carried out to determine the minimum dimension of the representative unit volume that ensures a percolation threshold that is independent of the unit cell size. The effect of the aspect ratio of the nano-particles and the tunneling distance on the percolation threshold was investigated employing the developed model. © 2011 Published by Elsevier Ltd. Selection and peer-review under responsibility of ICM11 |
| Author | Oskouyi, Amirhossein Biabangard Mertiny, Pierre |
| Author_xml | – sequence: 1 givenname: Amirhossein Biabangard surname: Oskouyi fullname: Oskouyi, Amirhossein Biabangard – sequence: 2 givenname: Pierre surname: Mertiny fullname: Mertiny, Pierre email: pmertiny@ualberta.ca |
| BookMark | eNqFkM1KAzEURoMoWGvfwEVeYMZkJpOZuhCk-AcVN92HNLmxqWkyJGmlb-_UuhAXejf3wsf54J4LdOqDB4SuKCkpofx6XfYxgH8rK0JpSVhJeHeCRrRr26IlTXf64z5Hk5TW5DAtqRo6QvEl-Ax4JqMLeBM0OGxCxHkFOOWt3uNgcA9RBSezDX4IIqRVcDph67EKmz4kmyFhY50DjT9sXmFlo9o6GYfc663KdgfYSx8KbdN7ukRnRroEk-89RouH-8XsqZi_Pj7P7uaFqpsqF4aTZsqBs5qxqWyA6Q5AspZ3YJaN5q1suekqDtQs2ZIRMlWsbmpJOl6pqqnHiB1rVQwpRTCij3Yj415QIg7mxFoczYmDOUGYGMwN2M0vTNn89XuO0rr_4NsjDMNfOwtRJGXBK9A2gspCB_t3wSf0AZDl |
| CitedBy_id | crossref_primary_10_1016_j_probengmech_2012_02_002 crossref_primary_10_1109_TDEI_2018_007541 crossref_primary_10_1016_j_compstruct_2018_03_022 crossref_primary_10_1063_1_4812752 crossref_primary_10_3390_nano10061129 crossref_primary_10_1039_C5CP01953B crossref_primary_10_1080_02670836_2019_1661660 crossref_primary_10_1186_1556_276X_9_369 crossref_primary_10_1088_1361_6528_ab7fcc crossref_primary_10_1088_2053_1591_2_9_095013 crossref_primary_10_1007_s10443_016_9557_5 crossref_primary_10_1115_1_4030018 crossref_primary_10_1007_s00707_017_1955_8 crossref_primary_10_3390_en16207128 crossref_primary_10_1007_s10853_022_07092_0 crossref_primary_10_3390_ma7042501 crossref_primary_10_1007_s10965_017_1418_x crossref_primary_10_1007_s10409_023_23211_x crossref_primary_10_1080_25740881_2020_1844232 crossref_primary_10_1007_s10443_016_9541_0 crossref_primary_10_1021_jp305815r |
| Cites_doi | 10.1016/S0167-6636(97)00064-1 10.1016/0266-3538(93)90183-H 10.1016/j.compscitech.2007.10.056 10.1016/S0307-904X(02)00080-X 10.1016/j.polymer.2008.07.034 10.1063/1.2732201 10.1016/j.apradiso.2009.11.037 10.1016/j.compscitech.2006.08.008 10.1016/j.matchemphys.2007.10.044 10.1016/j.sna.2005.12.002 10.1016/j.actamat.2008.02.030 10.1145/272991.272995 10.1214/aoms/1177692644 10.1016/j.msec.2010.11.006 10.1103/PhysRevE.59.3717 10.1016/j.scriptamat.2007.05.035 10.1103/PhysRevB.30.3933 10.1016/j.physa.2004.12.059 |
| ContentType | Journal Article |
| Copyright | 2011 |
| Copyright_xml | – notice: 2011 |
| DBID | 6I. AAFTH AAYXX CITATION |
| DOI | 10.1016/j.proeng.2011.04.068 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1877-7058 |
| EndPage | 408 |
| ExternalDocumentID | 10_1016_j_proeng_2011_04_068 S1877705811002566 |
| GroupedDBID | --K 0R~ 0SF 1B1 4.4 457 5VS 6I. 71M AACTN AAEDT AAEDW AAFTH AAFWJ AAIKJ AALRI AAQFI AAXUO ABMAC ACGFS ADBBV ADEZE ADMUD AEXQZ AFTJW AGHFR AITUG ALMA_UNASSIGNED_HOLDINGS AMRAJ E3Z EBS EJD EP3 FDB FEDTE FNPLU HVGLF HZ~ IXB KQ8 M41 M~E NCXOZ O-L O9- OK1 OZT P2P RIG ROL SES SSZ XH2 AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO ADVLN AEUPX AFPUW AIGII AKBMS AKRWK AKYEP CITATION |
| ID | FETCH-LOGICAL-c352t-f60596e643449a5e4d8eea4768efb5d67a76f826e1fb4b4009c4353a0862c253 |
| IEDL.DBID | IXB |
| ISSN | 1877-7058 |
| IngestDate | Tue Jul 01 02:18:51 EDT 2025 Thu Apr 24 23:02:06 EDT 2025 Fri Feb 23 02:27:56 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Percolation threshold Conductive composites Monte Carlo modeling Nano-disk filler |
| Language | English |
| License | http://creativecommons.org/licenses/by-nc-nd/3.0 https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c352t-f60596e643449a5e4d8eea4768efb5d67a76f826e1fb4b4009c4353a0862c253 |
| OpenAccessLink | https://www.sciencedirect.com/science/article/pii/S1877705811002566 |
| PageCount | 6 |
| ParticipantIDs | crossref_primary_10_1016_j_proeng_2011_04_068 crossref_citationtrail_10_1016_j_proeng_2011_04_068 elsevier_sciencedirect_doi_10_1016_j_proeng_2011_04_068 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2011 2011-00-00 |
| PublicationDateYYYYMMDD | 2011-01-01 |
| PublicationDate_xml | – year: 2011 text: 2011 |
| PublicationDecade | 2010 |
| PublicationTitle | Procedia engineering |
| PublicationYear | 2011 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Ausanio, Barone, Campana, Iannotti, Luponio, Pepe, Lanotte (bib0020) 2005; 127 Li, Thostenson, Chou (bib0070) 2008; 68 Li, Chou (bib0075) 2007; 90 Cornejo Díaz, Vergara Gil, Jurado Vargas (bib0080) 2010; 68 Almohamad, Selim (bib0100) 2003; 27 Barberg, Anderson (bib0065) 1984; 30 Tjong, Liang, Bao (bib0030) 2007; 57 Ogale, Wang (bib0045) 1993; 46 Hao, Gai, Yang, Zhang, Nan (bib0035) 2007; 109 Natsuki, Endo, Takahashi (bib0025) 2005; 352 Consiglio, Baker, Paul, Stanley (bib0040) 2003; 319 Hu, Karube, Yan, Masuda, Fukunaga (bib0010) 2008; 56 Qu, Wong (bib0005) 2007; 67 Hua, Karube, Yan, Masuda, Fukunaga (bib0055) 2008; 56 Ma, Gao (bib0060) 2008; 49 Taya, Kim, Ono (bib0050) 1998; 28 Matsumoto, Nishimura (bib0085) 1998; 8 Marsaglia (bib0095) 1972; 43 Zavickis, Knite, Ozols, Malefan (bib0015) 2010; 31 Neda, Florian (bib0090) 1999; 59 Hu (10.1016/j.proeng.2011.04.068_bib0010) 2008; 56 Ma (10.1016/j.proeng.2011.04.068_bib0060) 2008; 49 Ogale (10.1016/j.proeng.2011.04.068_bib0045) 1993; 46 Hao (10.1016/j.proeng.2011.04.068_bib0035) 2007; 109 Li (10.1016/j.proeng.2011.04.068_bib0075) 2007; 90 Ausanio (10.1016/j.proeng.2011.04.068_bib0020) 2005; 127 Consiglio (10.1016/j.proeng.2011.04.068_bib0040) 2003; 319 Hua (10.1016/j.proeng.2011.04.068_bib0055) 2008; 56 Zavickis (10.1016/j.proeng.2011.04.068_bib0015) 2010; 31 Barberg (10.1016/j.proeng.2011.04.068_bib0065) 1984; 30 Almohamad (10.1016/j.proeng.2011.04.068_bib0100) 2003; 27 Taya (10.1016/j.proeng.2011.04.068_bib0050) 1998; 28 Li (10.1016/j.proeng.2011.04.068_bib0070) 2008; 68 Cornejo Díaz (10.1016/j.proeng.2011.04.068_bib0080) 2010; 68 Matsumoto (10.1016/j.proeng.2011.04.068_bib0085) 1998; 8 Qu (10.1016/j.proeng.2011.04.068_bib0005) 2007; 67 Natsuki (10.1016/j.proeng.2011.04.068_bib0025) 2005; 352 Neda (10.1016/j.proeng.2011.04.068_bib0090) 1999; 59 Tjong (10.1016/j.proeng.2011.04.068_bib0030) 2007; 57 Marsaglia (10.1016/j.proeng.2011.04.068_bib0095) 1972; 43 |
| References_xml | – volume: 90 start-page: 174108 year: 2007 end-page: 174113 ident: bib0075 article-title: Continuum percolation of nanocomposites with fillers of arbitrary shapes publication-title: Appl Phys Lett – volume: 68 start-page: 469 year: 2010 end-page: 473 ident: bib0080 article-title: Assessment of the suitability of different random number generators for Monte Carlo simulations in gamma-ray spectrometry publication-title: Appl Radiat Isotopes – volume: 28 start-page: 53 year: 1998 end-page: 59 ident: bib0050 article-title: Piezoresistivity of a short fiberrelastomer matrix composite publication-title: Mech Mater – volume: 68 start-page: 1445 year: 2008 end-page: 1452 ident: bib0070 article-title: Effect of nanotube waviness on the electrical conductivity of carbon nanotube-based composites publication-title: Compos Sci Technol – volume: 67 start-page: 231 year: 2007 end-page: 237 ident: bib0005 article-title: Piezoresistive behavior of polymer reinforced by expanded graphite publication-title: Compos Sci Technol – volume: 31 start-page: 472 year: 2010 end-page: 476 ident: bib0015 article-title: Development of percolative electroconductive structure in piezoresistive polyisoprene–nanostructured carbon composite during vulcanization publication-title: Mater Sci Eng C – volume: 56 start-page: 2929 year: 2008 end-page: 2936 ident: bib0010 article-title: Tunneling effect in a polymer/carbon nanotube nanocomposite strain sensor publication-title: Acta Mater – volume: 109 start-page: 15 year: 2007 end-page: 19 ident: bib0035 article-title: Development of the conductive polymer matrix composite with low concentration of the conductive filler publication-title: Mater Chem Phys – volume: 59 start-page: 3717 year: 1999 end-page: 3719 ident: bib0090 article-title: Reconsideration of continuum percolation of isotropically oriented sticks in three dimensions publication-title: Phys Rev E – volume: 57 start-page: 461 year: 2007 end-page: 464 ident: bib0030 article-title: Electrical behavior of polypropylene/multiwalled carbon nanotube nanocomposites with low percolation threshold publication-title: Scripta Mater – volume: 8 start-page: 3 year: 1998 end-page: 30 ident: bib0085 article-title: Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator publication-title: ACM T Model Comput S – volume: 43 start-page: 645 year: 1972 end-page: 646 ident: bib0095 article-title: Choosing a point from the surface of a sphere publication-title: Annals Math Stat – volume: 352 start-page: 498 year: 2005 end-page: 508 ident: bib0025 article-title: Percolation study of orientated short-fiber composites by a continuum model publication-title: Physica A – volume: 27 start-page: 115 year: 2003 end-page: 124 ident: bib0100 article-title: An algorithm for computing the distance between two circular disks publication-title: Appl Math Model – volume: 319 start-page: 49 year: 2003 end-page: 55 ident: bib0040 publication-title: Continuum percolation thresholds for mixtures of spheres of different sizes. Physica A: – volume: 127 start-page: 56 year: 2005 end-page: 62 ident: bib0020 article-title: Giant resistivity change induced by strain in a composite of conducting particles in an elastomer matrix publication-title: Sensor Actuator – volume: 49 start-page: 4230 year: 2008 end-page: 4238 ident: bib0060 article-title: A three-dimensional Monte Carlo model for electrically conductive polymer matrix composites filled with curved fibers publication-title: Polymer – volume: 46 start-page: 379 year: 1993 end-page: 388 ident: bib0045 article-title: Simulation of the percolation behavior of quasi- and transversely isotropic short-fiber composites with a continuum model publication-title: Compos Sci Technol – volume: 56 start-page: 2929 year: 2008 end-page: 2936 ident: bib0055 article-title: Tunneling effect in a polymer/carbon nanotube nanocomposite strain sensor publication-title: Acta Mater – volume: 30 start-page: 3933 year: 1984 end-page: 3943 ident: bib0065 article-title: Excluded volume and its relation to the onset of percolation publication-title: Phys Rev B – volume: 28 start-page: 53 year: 1998 ident: 10.1016/j.proeng.2011.04.068_bib0050 article-title: Piezoresistivity of a short fiberrelastomer matrix composite publication-title: Mech Mater doi: 10.1016/S0167-6636(97)00064-1 – volume: 46 start-page: 379 year: 1993 ident: 10.1016/j.proeng.2011.04.068_bib0045 article-title: Simulation of the percolation behavior of quasi- and transversely isotropic short-fiber composites with a continuum model publication-title: Compos Sci Technol doi: 10.1016/0266-3538(93)90183-H – volume: 68 start-page: 1445 year: 2008 ident: 10.1016/j.proeng.2011.04.068_bib0070 article-title: Effect of nanotube waviness on the electrical conductivity of carbon nanotube-based composites publication-title: Compos Sci Technol doi: 10.1016/j.compscitech.2007.10.056 – volume: 27 start-page: 115 year: 2003 ident: 10.1016/j.proeng.2011.04.068_bib0100 article-title: An algorithm for computing the distance between two circular disks publication-title: Appl Math Model doi: 10.1016/S0307-904X(02)00080-X – volume: 49 start-page: 4230 year: 2008 ident: 10.1016/j.proeng.2011.04.068_bib0060 article-title: A three-dimensional Monte Carlo model for electrically conductive polymer matrix composites filled with curved fibers publication-title: Polymer doi: 10.1016/j.polymer.2008.07.034 – volume: 90 start-page: 174108 year: 2007 ident: 10.1016/j.proeng.2011.04.068_bib0075 article-title: Continuum percolation of nanocomposites with fillers of arbitrary shapes publication-title: Appl Phys Lett doi: 10.1063/1.2732201 – volume: 68 start-page: 469 year: 2010 ident: 10.1016/j.proeng.2011.04.068_bib0080 article-title: Assessment of the suitability of different random number generators for Monte Carlo simulations in gamma-ray spectrometry publication-title: Appl Radiat Isotopes doi: 10.1016/j.apradiso.2009.11.037 – volume: 67 start-page: 231 year: 2007 ident: 10.1016/j.proeng.2011.04.068_bib0005 article-title: Piezoresistive behavior of polymer reinforced by expanded graphite publication-title: Compos Sci Technol doi: 10.1016/j.compscitech.2006.08.008 – volume: 109 start-page: 15 year: 2007 ident: 10.1016/j.proeng.2011.04.068_bib0035 article-title: Development of the conductive polymer matrix composite with low concentration of the conductive filler publication-title: Mater Chem Phys doi: 10.1016/j.matchemphys.2007.10.044 – volume: 319 start-page: 49 year: 2003 ident: 10.1016/j.proeng.2011.04.068_bib0040 publication-title: Continuum percolation thresholds for mixtures of spheres of different sizes. Physica A: – volume: 127 start-page: 56 year: 2005 ident: 10.1016/j.proeng.2011.04.068_bib0020 article-title: Giant resistivity change induced by strain in a composite of conducting particles in an elastomer matrix publication-title: Sensor Actuator doi: 10.1016/j.sna.2005.12.002 – volume: 56 start-page: 2929 year: 2008 ident: 10.1016/j.proeng.2011.04.068_bib0055 article-title: Tunneling effect in a polymer/carbon nanotube nanocomposite strain sensor publication-title: Acta Mater doi: 10.1016/j.actamat.2008.02.030 – volume: 8 start-page: 3 year: 1998 ident: 10.1016/j.proeng.2011.04.068_bib0085 article-title: Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator publication-title: ACM T Model Comput S doi: 10.1145/272991.272995 – volume: 56 start-page: 2929 year: 2008 ident: 10.1016/j.proeng.2011.04.068_bib0010 article-title: Tunneling effect in a polymer/carbon nanotube nanocomposite strain sensor publication-title: Acta Mater doi: 10.1016/j.actamat.2008.02.030 – volume: 43 start-page: 645 year: 1972 ident: 10.1016/j.proeng.2011.04.068_bib0095 article-title: Choosing a point from the surface of a sphere publication-title: Annals Math Stat doi: 10.1214/aoms/1177692644 – volume: 31 start-page: 472 year: 2010 ident: 10.1016/j.proeng.2011.04.068_bib0015 article-title: Development of percolative electroconductive structure in piezoresistive polyisoprene–nanostructured carbon composite during vulcanization publication-title: Mater Sci Eng C doi: 10.1016/j.msec.2010.11.006 – volume: 59 start-page: 3717 year: 1999 ident: 10.1016/j.proeng.2011.04.068_bib0090 article-title: Reconsideration of continuum percolation of isotropically oriented sticks in three dimensions publication-title: Phys Rev E doi: 10.1103/PhysRevE.59.3717 – volume: 57 start-page: 461 year: 2007 ident: 10.1016/j.proeng.2011.04.068_bib0030 article-title: Electrical behavior of polypropylene/multiwalled carbon nanotube nanocomposites with low percolation threshold publication-title: Scripta Mater doi: 10.1016/j.scriptamat.2007.05.035 – volume: 30 start-page: 3933 year: 1984 ident: 10.1016/j.proeng.2011.04.068_bib0065 article-title: Excluded volume and its relation to the onset of percolation publication-title: Phys Rev B doi: 10.1103/PhysRevB.30.3933 – volume: 352 start-page: 498 year: 2005 ident: 10.1016/j.proeng.2011.04.068_bib0025 article-title: Percolation study of orientated short-fiber composites by a continuum model publication-title: Physica A doi: 10.1016/j.physa.2004.12.059 |
| SSID | ssj0000070251 |
| Score | 1.972276 |
| Snippet | The subject of the study described in this paper is the percolation threshold of composites with conductive nano-scale fillers. Specifically, a... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 403 |
| SubjectTerms | Conductive composites Monte Carlo modeling Nano-disk filler Percolation threshold |
| Title | Monte Carlo model for the study of percolation thresholds in composites filled with circular conductive nano-disks |
| URI | https://dx.doi.org/10.1016/j.proeng.2011.04.068 |
| Volume | 10 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1La8MwDDalp-0w9mTdCx929ZqH4yTHrbSUQXdZB70ZJ7ZHtpKWpLvut09yktLB2GAQckisEGRH-uRInwi5FRaWkfI1s4nmDPytYErpmMXWUwAXosR3PZZmT2L6wh8X0aJHRl0tDKZVtra_senOWrdXhq02h-uiGD77SGXn4dOc40ba7ZAnrohv8bDdZ0E-m8B1YcTxDAW6CjqX5gV2ypSvLZcnv_OQc_UnD7XjdSaH5KCFi_S-eaMj0jPlMdnfIRE8IdUMCaboSFXLFXWNbSgAUQrAjjruWLqydG0qmHA3CXADImz86VTToqSYUo55W6amFssCNcWdWZoXlUtQhfslMsKCTaSlKldMF_V7fUrmk_F8NGVtJwWWA8DaMCuwy44B9MF5qiLDdWKM4hBqGJtFWsQqFhYCDePbjGfwWac5wKhQYbyTB1F4RvrlqjTnhOYg62utBNLaBJ5Iw0zpwIdhgANSkQ1I2ClP5i3LODa7WMounexNNiqXqHLpcQkqHxC2lVo3LBt_jI-7eZHfVosER_Cr5MW_JS_JXrOfjMcV6W-qD3MNgGST3bgVB-fZ5_gLxPfhAg |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDI7GOAAHxFOMZw5cw9o1TbcjTEwbbLswpN2itElQYeqmbvx_7LSdhoRAQuqpiavKSe3Pqf2ZkFthYRspXzPb1pyBvxVMKR2xyHoK4ELY9l2PpdFY9F_50zSc1ki3qoXBtMrS9hc23Vnr8k6z1GZzkabNFx-p7Dx8mnPcYotsAxqIsH_DYPqwPmhBQpuWa8OIAgwlqhI6l-cFhspkbyWZJ7_zkHT1Jxe14XZ6B2S_xIv0vnilQ1Iz2RHZ22ARPCb5CBmmaFflszl1nW0oIFEKyI468lg6t3RhclhxtwowACE2_nVa0jSjmFOOiVtmSS3WBWqKR7M0SXOXoQrjGVLCglGkmcrmTKfLj-UJmfQeJ90-K1spsAQQ1opZgW12DMAPzjsqNFy3jVEcYg1j41CLSEXCQqRhfBvzGL7rTgI4KlAY8CStMDgl9WyemTNCE5D1tVYCeW1anugEsdItH6YBEOiIuEGCSnkyKWnGsdvFTFb5ZO-yULlElUuPS1B5g7C11KKg2fhjflSti_y2XSR4gl8lz_8teUN2-pPRUA4H4-cLslscLuN1Seqr_NNcATpZxddu930By37i8A |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Monte+Carlo+model+for+the+study+of+percolation+thresholds+in+composites+filled+with+circular+conductive+nano-disks&rft.jtitle=Procedia+engineering&rft.au=Oskouyi%2C+Amirhossein+Biabangard&rft.au=Mertiny%2C+Pierre&rft.date=2011&rft.issn=1877-7058&rft.eissn=1877-7058&rft.volume=10&rft.spage=403&rft.epage=408&rft_id=info:doi/10.1016%2Fj.proeng.2011.04.068&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_proeng_2011_04_068 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1877-7058&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1877-7058&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1877-7058&client=summon |