Determination of Forces and Moments Per Unit Length in Symmetric Exponential FG Plates with a Quasi-Triangular Hole
In this study, the resultant forces and moments acting on infinite symmetric FGPs with a triangular hole subject to uniaxial tensile load were examined via an analytical method using the complex variable approach. The mechanical properties of graded plates are hypothesized to vary throughout the thi...
Saved in:
| Published in | Symmetry (Basel) Vol. 12; no. 5; p. 834 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
MDPI AG
01.05.2020
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2073-8994 2073-8994 |
| DOI | 10.3390/sym12050834 |
Cover
Loading…
| Abstract | In this study, the resultant forces and moments acting on infinite symmetric FGPs with a triangular hole subject to uniaxial tensile load were examined via an analytical method using the complex variable approach. The mechanical properties of graded plates are hypothesized to vary throughout the thickness exponentially. The impact of various factors, namely hole orientation, hole aspect ratio as well as the hole corner curve on stress distribution and moment resultants is considered. In order to approve the credibility of the analytical approach, its outcomes are compared to numerical results acquired from ABAQUS finite element modeling. This comparison showed a favorable agreement level among the acquired analytical and numerical outcomes. Based on these results, the mentioned factors entail a considerable effect on the distribution of resultant forces and moments at the proximity of the hole and the load bearing tolerance of functional grated plates with holes may be enhanced by suitable selection of the aforementioned parameters. |
|---|---|
| AbstractList | In this study, the resultant forces and moments acting on infinite symmetric FGPs with a triangular hole subject to uniaxial tensile load were examined via an analytical method using the complex variable approach. The mechanical properties of graded plates are hypothesized to vary throughout the thickness exponentially. The impact of various factors, namely hole orientation, hole aspect ratio as well as the hole corner curve on stress distribution and moment resultants is considered. In order to approve the credibility of the analytical approach, its outcomes are compared to numerical results acquired from ABAQUS finite element modeling. This comparison showed a favorable agreement level among the acquired analytical and numerical outcomes. Based on these results, the mentioned factors entail a considerable effect on the distribution of resultant forces and moments at the proximity of the hole and the load bearing tolerance of functional grated plates with holes may be enhanced by suitable selection of the aforementioned parameters. Keywords: triangular hole; analytical solution; FGP; complex variable method In this study, the resultant forces and moments acting on infinite symmetric FGPs with a triangular hole subject to uniaxial tensile load were examined via an analytical method using the complex variable approach. The mechanical properties of graded plates are hypothesized to vary throughout the thickness exponentially. The impact of various factors, namely hole orientation, hole aspect ratio as well as the hole corner curve on stress distribution and moment resultants is considered. In order to approve the credibility of the analytical approach, its outcomes are compared to numerical results acquired from ABAQUS finite element modeling. This comparison showed a favorable agreement level among the acquired analytical and numerical outcomes. Based on these results, the mentioned factors entail a considerable effect on the distribution of resultant forces and moments at the proximity of the hole and the load bearing tolerance of functional grated plates with holes may be enhanced by suitable selection of the aforementioned parameters. |
| Audience | Academic |
| Author | Abdolalian, Hamid Chaleshtari, Mohammad Hossein Bayati Craciun, Eduard-Marius Jafari, Mohammad Feo, Luciano |
| Author_xml | – sequence: 1 givenname: Mohammad surname: Jafari fullname: Jafari, Mohammad – sequence: 2 givenname: Mohammad Hossein Bayati surname: Chaleshtari fullname: Chaleshtari, Mohammad Hossein Bayati – sequence: 3 givenname: Hamid surname: Abdolalian fullname: Abdolalian, Hamid – sequence: 4 givenname: Eduard-Marius surname: Craciun fullname: Craciun, Eduard-Marius – sequence: 5 givenname: Luciano surname: Feo fullname: Feo, Luciano |
| BookMark | eNptUE1PwzAMjdCQGGMn_kDuqCNt0q45TmMfSEMMsZ2rNHVGUJtMSSbYvycwDhPCPtiy3rOf3zXqGWsAoduUjCjl5N4fuzQjOSkpu0D9jIxpUnLOemf9FRp6_05i5CRnBekj_wABXKeNCNoabBWeWyfBY2Ea_GQ7MMHjNTi8NTrgFZhdeMPa4Ndj10FwWuLZ5z7qMEGLFs8XeN2KEOkfOuIEfjkIr5ON08LsDq1weGlbuEGXSrQehr91gLbz2Wa6TFbPi8fpZJVISnhIoMkYh7xOaUFFU1MFDJqCkzErpZKqyWsGtCZEkbGqm_ieHIs6T0tFJaRQZ3SARqe9O9FCpY2ywQkZs4FOyyha6TifFBkvaVowHgl3J4J01nsHqto73Ql3rFJSfXtcnXkc0ekftNThx8Z4Rrf_cr4AVIODFw |
| CitedBy_id | crossref_primary_10_1007_s00707_022_03413_1 crossref_primary_10_1002_zamm_202300429 crossref_primary_10_1088_2631_8695_ad51ce crossref_primary_10_3390_ma18020328 crossref_primary_10_1007_s42452_022_05212_8 crossref_primary_10_1007_s44245_023_00009_4 crossref_primary_10_3103_S0025654423601490 crossref_primary_10_1016_j_ijpvp_2021_104510 crossref_primary_10_3390_ma16227162 crossref_primary_10_1007_s40430_021_03061_x crossref_primary_10_1016_j_ijpvp_2022_104758 crossref_primary_10_3390_ma13184031 crossref_primary_10_3103_S0025654423600745 crossref_primary_10_3390_math9040311 crossref_primary_10_3390_cryst13030490 crossref_primary_10_1016_j_apm_2022_05_032 crossref_primary_10_3390_math11214416 crossref_primary_10_1007_s42247_021_00191_9 crossref_primary_10_1016_j_compstruct_2022_116403 crossref_primary_10_3390_sym12060996 crossref_primary_10_3390_ma15072567 crossref_primary_10_3390_sym13050792 crossref_primary_10_3390_sym15122095 crossref_primary_10_1007_s44245_023_00028_1 crossref_primary_10_1016_j_matpr_2020_10_448 |
| Cites_doi | 10.1177/0731684409341758 10.1177/002199803035565 10.3390/sym12020267 10.1016/j.compstruct.2018.05.026 10.1016/j.ijmecsci.2012.09.009 10.1016/j.ijsolstr.2010.10.013 10.1016/j.compstruct.2018.04.053 10.1016/j.euromechsol.2017.06.003 10.1177/1081286505044138 10.1016/j.asej.2014.03.002 10.1007/s11433-012-4774-x 10.1007/s00158-016-1481-7 10.1007/s00158-017-1758-5 10.1016/S0263-8223(99)00123-3 10.1007/s00419-009-0349-3 10.1016/j.ijmecsci.2013.10.021 10.1177/0021998318785950 10.1002/zamm.201300125 10.1016/j.ijmecsci.2015.11.011 10.1016/j.compstruct.2010.08.015 10.1002/zamm.201600270 |
| ContentType | Journal Article |
| Copyright | COPYRIGHT 2020 MDPI AG |
| Copyright_xml | – notice: COPYRIGHT 2020 MDPI AG |
| DBID | AAYXX CITATION |
| DOI | 10.3390/sym12050834 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | CrossRef |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) |
| EISSN | 2073-8994 |
| ExternalDocumentID | A629831649 10_3390_sym12050834 |
| GeographicLocations | Iran |
| GeographicLocations_xml | – name: Iran |
| GroupedDBID | 5VS 8FE 8FG AADQD AAYXX ABDBF ABJCF ACUHS ADBBV ADMLS AFKRA AFZYC ALMA_UNASSIGNED_HOLDINGS AMVHM BCNDV BENPR BGLVJ CCPQU CITATION E3Z ESX GX1 HCIFZ IAO ITC J9A KQ8 L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PROAC PTHSS TR2 TUS PMFND |
| ID | FETCH-LOGICAL-c309t-ed249e5b1363adb3fe4ed690748cfcfd5b4e3b00f07fbd899c7ab518f3ce1eb23 |
| ISSN | 2073-8994 |
| IngestDate | Tue Jun 10 20:39:42 EDT 2025 Tue Jul 01 03:25:25 EDT 2025 Thu Apr 24 23:06:45 EDT 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Language | English |
| License | https://creativecommons.org/licenses/by/4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c309t-ed249e5b1363adb3fe4ed690748cfcfd5b4e3b00f07fbd899c7ab518f3ce1eb23 |
| OpenAccessLink | https://www.mdpi.com/2073-8994/12/5/834/pdf?version=1590634692 |
| ParticipantIDs | gale_infotracacademiconefile_A629831649 crossref_primary_10_3390_sym12050834 crossref_citationtrail_10_3390_sym12050834 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2020-05-01 |
| PublicationDateYYYYMMDD | 2020-05-01 |
| PublicationDate_xml | – month: 05 year: 2020 text: 2020-05-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationTitle | Symmetry (Basel) |
| PublicationYear | 2020 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Sharma (ref_4) 2012; 65 Jafari (ref_9) 2017; 57 Mehrparvar (ref_18) 2018; 202 Enab (ref_17) 2014; 5 ref_12 Jafari (ref_8) 2017; 66 Ukadgaonker (ref_7) 2000; 49 Dave (ref_15) 2016; 105 Moussavian (ref_25) 2016; 55 Ghannadpour (ref_19) 2018; 202 Mohammadi (ref_16) 2011; 48 Yang (ref_10) 2009; 80 Yang (ref_11) 2012; 55 Rezaeepazhand (ref_6) 2009; 29 Sharma (ref_5) 2014; 78 Reid (ref_14) 2011; 93 Craciun (ref_20) 2005; 11 ref_22 Savadkoohi (ref_23) 2017; 97 Pan (ref_13) 2003; 37 ref_1 ref_3 ref_2 Jafari (ref_24) 2018; 53 Craciun (ref_21) 2013; 95 |
| References_xml | – volume: 29 start-page: 2015 year: 2009 ident: ref_6 article-title: Stress Analysis of Composite Plates with a Quasi-Square Cutout Subjected to Uniaxial Tension publication-title: J. Reinf. Plast. Compos. doi: 10.1177/0731684409341758 – ident: ref_3 – volume: 37 start-page: 1903 year: 2003 ident: ref_13 article-title: Exact Solution for Functionally Graded Anisotropic Elastic Composite Laminates publication-title: J. Compos. Mater. doi: 10.1177/002199803035565 – ident: ref_22 doi: 10.3390/sym12020267 – volume: 202 start-page: 1032 year: 2018 ident: ref_19 article-title: Energy effect removal technique to model circular/elliptical holes in relatively thick composite plates under in-plane compressive load publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2018.05.026 – volume: 65 start-page: 115 year: 2012 ident: ref_4 article-title: Stress distribution around polygonal holes publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2012.09.009 – volume: 48 start-page: 483 year: 2011 ident: ref_16 article-title: Stress concentration around a hole in a radially inhomogeneous plate publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2010.10.013 – volume: 202 start-page: 867 year: 2018 ident: ref_18 article-title: Plate assembly technique for nonlinear analysis of relatively thick FGPs containing rectangular holes subjected to in-plane compressive load publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2018.04.053 – volume: 66 start-page: 1 year: 2017 ident: ref_8 article-title: Using dragonfly algorithm for optimization of orthotropic infinite plates with a quasi-triangular cut-out publication-title: Eur. J. Mech. A/Solids doi: 10.1016/j.euromechsol.2017.06.003 – volume: 11 start-page: 459 year: 2005 ident: ref_20 article-title: Anti-plane States in an Anisotropic Elastic Body Containing an Elliptical Hole publication-title: Math. Mech. Solids doi: 10.1177/1081286505044138 – ident: ref_1 – volume: 5 start-page: 839 year: 2014 ident: ref_17 article-title: Stress concentration analysis in FGPs with elliptic holes under biaxial loadings publication-title: Ain Shams Eng. J. doi: 10.1016/j.asej.2014.03.002 – volume: 55 start-page: 1263 year: 2012 ident: ref_11 article-title: Stress concentration in a finite functionally graded material plate publication-title: Sci. China Ser. G Phys. Mech. Astron. doi: 10.1007/s11433-012-4774-x – volume: 55 start-page: 141 year: 2016 ident: ref_25 article-title: Optimum design of laminated composite plates containing a quasi-square cutout publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-016-1481-7 – volume: 57 start-page: 341 year: 2017 ident: ref_9 article-title: Optimum Design of Perforated Orthotropic and Laminated Composite Plates under in-plane loading by genetic algorithm publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-017-1758-5 – ident: ref_2 – volume: 49 start-page: 27 year: 2000 ident: ref_7 article-title: A general solution for stress resultants and moments around holes in unsymmetric laminates publication-title: Compos. Struct. doi: 10.1016/S0263-8223(99)00123-3 – ident: ref_12 – volume: 80 start-page: 895 year: 2009 ident: ref_10 article-title: Stress analysis of a functional graded material plate with a circular hole publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-009-0349-3 – volume: 78 start-page: 177 year: 2014 ident: ref_5 article-title: Moment distribution around polygonal holes in infinite plate publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2013.10.021 – volume: 53 start-page: 405 year: 2018 ident: ref_24 article-title: General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout publication-title: J. Compos. Mater. doi: 10.1177/0021998318785950 – volume: 95 start-page: 193 year: 2013 ident: ref_21 article-title: Compact closed form solution of the incremental plane states in a pre-stressed elastic composite with an elliptical hole publication-title: ZAMM doi: 10.1002/zamm.201300125 – volume: 105 start-page: 146 year: 2016 ident: ref_15 article-title: Stresses and moments in through-thickness FGP weakened by circular/elliptical cut-out publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2015.11.011 – volume: 93 start-page: 639 year: 2011 ident: ref_14 article-title: An extension to classical lamination theory for use with FGPs publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2010.08.015 – volume: 97 start-page: 1317 year: 2017 ident: ref_23 article-title: Studying the effect of different parameters on stress resultant and moments distribution around non-circular cutouts in unsymmetric laminates publication-title: ZAMM doi: 10.1002/zamm.201600270 |
| SSID | ssj0000505460 |
| Score | 2.2945223 |
| Snippet | In this study, the resultant forces and moments acting on infinite symmetric FGPs with a triangular hole subject to uniaxial tensile load were examined via an... |
| SourceID | gale crossref |
| SourceType | Aggregation Database Enrichment Source Index Database |
| StartPage | 834 |
| SubjectTerms | Applied research Structures (Construction) Symmetry (Physics) |
| Title | Determination of Forces and Moments Per Unit Length in Symmetric Exponential FG Plates with a Quasi-Triangular Hole |
| Volume | 12 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9NAEF6FcOGCKA_R8tAeKvGSwfauX8cWSKOKIiRSKbdovY82Umyj2DmEv8SfZMbrV6IcChcrsr2rtefL7Mz4mxlCTpXW0hWKO9LT2uGchY4QKQdDLoqUEmAgq5rl-z2cXvPLeTAfjf4MWEubKv0ofx_MK_kfqcI5kCtmyf6DZLtJ4QT8BvnCESQMxzvJ-EvLZWnNvkmxRoZVTZ4obPLaDywzCP_bD990flPV8Y2f2yzDRloSCx0XOfKFQFCTC-xghGFYm--GfM9y6czgOfKbmqw6LVY7xKFmnpovcA674WoQVrgURtgk9qviVmSZUAMiwUqXt9XeZexgUmpY3bnYwvP0n6UUON8Yi6k3SZEt-4nWQi43Nn6kEOnOFcy5G8jw3Z42aPWdD9rGAffPxhf0gXOtwvYHwAwG2reJi-7vCowlSKMst5nnu1j-nvebX_vBf29P7JiK4CPh8MVg8D1y3wefpO4TMve6gB62BOR1Vnq3aJsPiuM_DcbvWEDjloPZWDSzR-Rh44rQM4urIzLS-WNy1Cj7kr5tKpK_e0LKHaDRwlALNApAow3QKACNItCoBRpd5rQDGh0AjU4uqAUaRaBRQfeBRhFoT8n15Ovs89RpunU4krlJ5WgFnrwOUo-FTKiUGc21qmMvsTTSqCDlmoGSN25kUgWvR0YiDbzYMKk9nfrsGRnnsJTnhLpKqjgUOtZewg1ncWSYL5MEdlcTJlodk_ftG1zIppQ9dlRZLQ6I65icdjf_shVcDt_2BkWxQODAXFI06SmwIqyQtjgL_SRmXsiTk7tN-II86FH-koyr9Ua_AgO2Sl_XwPkLsLOfWA |
| linkProvider | Geneva Foundation for Medical Education and Research |
| 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=Determination+of+Forces+and+Moments+Per+Unit+Length+in+Symmetric+Exponential+FG+Plates+with+a+Quasi-Triangular+Hole&rft.jtitle=Symmetry+%28Basel%29&rft.au=Jafari%2C+Mohammad&rft.au=Chaleshtari%2C+Mohammad+Hossein+Bayati&rft.au=Abdolalian%2C+Hamid&rft.au=Craciun%2C+Eduard-Marius&rft.date=2020-05-01&rft.issn=2073-8994&rft.eissn=2073-8994&rft.volume=12&rft.issue=5&rft.spage=834&rft_id=info:doi/10.3390%2Fsym12050834&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_sym12050834 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2073-8994&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2073-8994&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2073-8994&client=summon |