Lateral-Torsional Buckling of a Bidirectional Exponentially Graded Thin-Walled C-Shaped Beam
Based on the Euler–Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially functionally graded monosymmetric C-shaped beam is proposed. The Young’s and shear moduli of the beam vary along its height and length direction. An...
Saved in:
| Published in | Mechanics of composite materials Vol. 58; no. 1; pp. 53 - 68 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.03.2022
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Based on the Euler–Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially functionally graded monosymmetric C-shaped beam is proposed. The Young’s and shear moduli of the beam vary along its height and length direction. An exponential function is used to describe the variation in material properties along both the directions. For calculating the effective material properties along these directions, the rule of mixture is employed. Moreover, the effect of distributed lateral bracing is considered in the solution presented. Several numerical examples are solved to illustrate the high accuracy and performance of the solution. |
|---|---|
| AbstractList | Based on the Euler–Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially functionally graded monosymmetric C-shaped beam is proposed. The Young’s and shear moduli of the beam vary along its height and length direction. An exponential function is used to describe the variation in material properties along both the directions. For calculating the effective material properties along these directions, the rule of mixture is employed. Moreover, the effect of distributed lateral bracing is considered in the solution presented. Several numerical examples are solved to illustrate the high accuracy and performance of the solution. |
| Audience | Academic |
| Author | Masoodi, A. R. Alepaighambar, A. Rezaiee-Pajand, M. |
| Author_xml | – sequence: 1 givenname: M. surname: Rezaiee-Pajand fullname: Rezaiee-Pajand, M. email: rezaiee@um.ac.ir organization: Department of Civil Engineering, Ferdowsi University of Mashhad – sequence: 2 givenname: A. R. surname: Masoodi fullname: Masoodi, A. R. organization: Department of Civil Engineering, Ferdowsi University of Mashhad – sequence: 3 givenname: A. surname: Alepaighambar fullname: Alepaighambar, A. organization: Department of Civil Engineering, Ferdowsi University of Mashhad |
| BookMark | eNp9kEtPxCAUhYnRxPHxB1w1cY0CHSgsnYmvZBIXjnFjQm4pjGinHaGT6L_3ak1MXBgW3Hs5H3DOAdnt-s4TcsLZGWesOs-cM2EoE4JizznVO2TCZVVSbYTYJRPGDadSKblPDnJ-QQ1jTE3I0wIGn6Clyz7l2HfQFrOte21jtyr6UEAxi01M3g3j2eX7Bh_uhght-1FcJ2h8UyyfY0cfcYL1nN4_wwaLmYf1EdkL0GZ__LMfkoery-X8hi7urm_nFwvqhNYDVXqqJasVMw4qA3XgVZABalcGEXwITtTaOIUGuWj81AvQdclUKVlVY8fLQ3I63rtJ_dvW58G-9NuE_81WqKnUlRZaoupsVK2g9TZ2oR8SOFyNX0eHtkLE-YUyhglZTQ0CegRc6nNOPlgXB_hKAsHYWs7sV_h2DN9i-PY7fKsRFX_QTYprSB__Q-UIZRR3K59-bfxDfQLPAZga |
| CitedBy_id | crossref_primary_10_48084_etasr_6652 crossref_primary_10_1080_15376494_2023_2185706 crossref_primary_10_48084_etasr_6489 crossref_primary_10_48084_etasr_5478 crossref_primary_10_3390_app14156446 crossref_primary_10_3390_jmse10101405 |
| Cites_doi | 10.1016/j.tws.2015.11.019 10.1016/j.istruc.2020.08.038 10.1177/1077546316668932 10.1061/(ASCE)0733-9445(2003)129:6(784) 10.1680/jstbu.18.00062 10.1007/s11029-014-9435-x 10.1061/(ASCE)0733-9399(2005)131:6(586) 10.1007/s11029-020-09859-5 10.1007/s12205-015-0285-4 10.1007/s13296-016-0052-5 10.1016/j.tws.2012.06.007 10.1016/j.compstruc.2006.08.079 10.1016/S0020-7683(02)00236-6 10.1016/j.tws.2020.107272 10.1016/S0045-7949(00)00195-4 10.12989/scs.2015.18.6.1557 10.1016/j.compstruct.2017.11.027 10.12989/scs.2004.4.4.281 10.1016/j.engstruct.2016.01.021 10.1007/s13296-018-0133-8 10.1016/0961-9526(92)90048-B 10.1142/S0219455407002368 10.1016/S0263-8231(02)00043-5 10.1016/0045-7949(86)90214-2 10.1007/s11029-005-0038-4 10.1108/WJE-10-2018-0357 10.1016/j.compstruc.2010.06.005 10.1007/s11029-009-9078-5 10.1016/j.tws.2017.05.025 10.1016/S0141-0296(02)00016-0 10.1680/jstbu.17.00187 10.1080/15376494.2020.1780524 10.1063/1.4756596 10.1142/9505 |
| ContentType | Journal Article |
| Copyright | Springer Science+Business Media, LLC, part of Springer Nature 2022 COPYRIGHT 2022 Springer Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| Copyright_xml | – notice: Springer Science+Business Media, LLC, part of Springer Nature 2022 – notice: COPYRIGHT 2022 Springer – notice: Springer Science+Business Media, LLC, part of Springer Nature 2022. |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s11029-022-10011-8 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1573-8922 |
| EndPage | 68 |
| ExternalDocumentID | A699025749 10_1007_s11029_022_10011_8 |
| GroupedDBID | -4Y -58 -5G -BR -EM -Y2 -~C .86 .VR 06C 06D 0R~ 0VY 1N0 2.D 28- 29M 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAIKT AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDZT ABECU ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACUHS ACZOJ ADHIR ADIMF ADINQ ADKNI ADKPE ADMLS ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN B-. B0M BA0 BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EAD EAP EBLON EBS EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC G-Y G-Z GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HF~ HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I-F IAO IHE IJ- IKXTQ ISR ITC IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P9N PF0 PT4 PT5 QOK QOR QOS R4E R89 R9I RHV RIG RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCG SCLPG SCM SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 W4F WJK WK8 XU3 YLTOR Z7R Z7S Z7V Z7W Z7X Z7Z Z83 Z85 Z86 Z88 Z8M Z8N Z8P Z8Q Z8R Z8T Z8W Z8Z Z92 ZMTXR ~8M ~A9 ~EX AAPKM AAYXX ABDBE ABFSG ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR CITATION AEIIB ABRTQ |
| ID | FETCH-LOGICAL-c288t-684850b609ca79abf17f5fabc3f2feffc2b89c602912de4e2a8b3063507b4e213 |
| IEDL.DBID | U2A |
| ISSN | 0191-5665 |
| IngestDate | Fri Jul 25 11:02:06 EDT 2025 Tue Jun 10 21:04:03 EDT 2025 Thu Apr 24 23:09:30 EDT 2025 Tue Jul 01 02:56:32 EDT 2025 Fri Feb 21 02:47:26 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | lateral bracing thin-walled section monosymmetric C-shaped beam bidirectional exponentially functionally graded material lateral-torsional buckling |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c288t-684850b609ca79abf17f5fabc3f2feffc2b89c602912de4e2a8b3063507b4e213 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2645878285 |
| PQPubID | 2043531 |
| PageCount | 16 |
| ParticipantIDs | proquest_journals_2645878285 gale_infotracacademiconefile_A699025749 crossref_citationtrail_10_1007_s11029_022_10011_8 crossref_primary_10_1007_s11029_022_10011_8 springer_journals_10_1007_s11029_022_10011_8 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2022-03-01 |
| PublicationDateYYYYMMDD | 2022-03-01 |
| PublicationDate_xml | – month: 03 year: 2022 text: 2022-03-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Mechanics of composite materials |
| PublicationTitleAbbrev | Mech Compos Mater |
| PublicationYear | 2022 |
| Publisher | Springer US Springer Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer – name: Springer Nature B.V |
| References | Andrade, Providência, Camotim (CR11) 2010; 88 Sapkás, Kollár (CR15) 2002; 39 Soltani, Asgarian (CR31) 2020; 56 Shooshtari, Moghaddam, Masoodi (CR36) 2015; 18 Asgarian, Soltani, Mohri (CR13) 2013; 62 Rezaiee-Pajand, Rajabzadeh-Safaei, Masoodi (CR26) 2020; 28 CR38 CR14 Rezaiee-Pajand, Masoodi (CR23) 2018; 19 CR35 Attard (CR1) 1986; 23 Numayr, Qablan (CR21) 2005; 41 Lee, Kim (CR3) 2001; 79 CR32 Rezaiee-Pajand, Masoodi (CR30) 2018; 24 Mohri, Azrar, Potier-Ferry (CR5) 2002; 40 Rezaiee Pajand, Masoodi, Mokhtari (CR22) 2018; 3 Lee, Kim, Hong (CR4) 2002; 24 Trahair (CR6) 2003; 129 Rezaiee-Pajand, Masoodi (CR24) 2019; 16 Rezaiee-Pajand, Masoodi, Bambaeechee (CR12) 2019; 172 Ahmadi, Rasheed (CR18) 2018; 185 Mottram (CR2) 1992; 2 Andrade, Camotim (CR8) 2005; 131 Rezaiee-Pajand, Masoodi (CR25) 2019; 19 CR27 Bouakaz, Daouadji, Meftah, Ameur, Tounsi, Bedia (CR19) 2014; 50 Rezaiee Pajand, Masoodi, Alepeighambar (CR29) 2018; 28 Andrade, Camotim, Dinis (CR9) 2007; 85 Zhang, Tong (CR33) 2016; 99 Challamel, Andrade, Camotim (CR10) 2007; 7 de Oliveira, Calenzani, Fakury, Ferreira (CR16) 2016; 113 Paimushin, Ivanov, Lukankin, Polyakova, Firsov, Kholmogorov (CR20) 2009; 45 Zhang, Liu, Hou, Chen, Ji, Deng, Deng (CR34) 2016; 16 Masoodi, Moghaddam (CR37) 2015; 19 Andrade, Camotim (CR7) 2004; 4 Jiao, Borchani, Soleimani, McGraw (CR17) 2017; 119 Rezaiee-Pajand, Sobhani, Masoodi (CR28) 2021; 159 N Trahair (10011_CR6) 2003; 129 M Rezaiee Pajand (10011_CR22) 2018; 3 M Rezaiee-Pajand (10011_CR25) 2019; 19 P Jiao (10011_CR17) 2017; 119 M Rezaiee-Pajand (10011_CR30) 2018; 24 F Mohri (10011_CR5) 2002; 40 JPS de Oliveira (10011_CR16) 2016; 113 10011_CR27 B Asgarian (10011_CR13) 2013; 62 W-F Zhang (10011_CR34) 2016; 16 J Lee (10011_CR4) 2002; 24 Á Sapkás (10011_CR15) 2002; 39 MM Attard (10011_CR1) 1986; 23 J Lee (10011_CR3) 2001; 79 A Andrade (10011_CR11) 2010; 88 M Rezaiee-Pajand (10011_CR23) 2018; 19 K Bouakaz (10011_CR19) 2014; 50 M Rezaiee-Pajand (10011_CR26) 2020; 28 M Soltani (10011_CR31) 2020; 56 10011_CR32 10011_CR35 A Shooshtari (10011_CR36) 2015; 18 M Rezaiee-Pajand (10011_CR24) 2019; 16 H Ahmadi (10011_CR18) 2018; 185 A Andrade (10011_CR8) 2005; 131 10011_CR14 A Andrade (10011_CR9) 2007; 85 10011_CR38 VN Paimushin (10011_CR20) 2009; 45 M Rezaiee Pajand (10011_CR29) 2018; 28 A Andrade (10011_CR7) 2004; 4 J Mottram (10011_CR2) 1992; 2 L Zhang (10011_CR33) 2016; 99 AR Masoodi (10011_CR37) 2015; 19 N Challamel (10011_CR10) 2007; 7 M Rezaiee-Pajand (10011_CR12) 2019; 172 KS Numayr (10011_CR21) 2005; 41 M Rezaiee-Pajand (10011_CR28) 2021; 159 |
| References_xml | – volume: 99 start-page: 155 year: 2016 end-page: 167 ident: CR33 article-title: Lateral buckling of simply supported C-and Z-section purlins with top flange horizontally restrained publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2015.11.019 – volume: 28 start-page: 1035 year: 2020 end-page: 1049 ident: CR26 article-title: An efficient curved beam element for thermo-mechanical nonlinear analysis of functionally graded porous beams publication-title: Structures doi: 10.1016/j.istruc.2020.08.038 – volume: 24 start-page: 1787 issue: 9 year: 2018 end-page: 1808 ident: CR30 article-title: Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections publication-title: Journal of Vibration and Control doi: 10.1177/1077546316668932 – volume: 129 start-page: 784 issue: 6 year: 2003 end-page: 791 ident: CR6 article-title: Lateral buckling strengths of steel angle section beams publication-title: Journal of Structural Engineering doi: 10.1061/(ASCE)0733-9445(2003)129:6(784) – volume: 172 start-page: 789 issue: 11 year: 2019 end-page: 804 ident: CR12 article-title: Tapered beam–column analysis by analytical solution publication-title: Proceedings of the Institution of Civil Engineers-Structures and Buildings doi: 10.1680/jstbu.18.00062 – ident: CR14 – volume: 50 start-page: 491 issue: 4 year: 2014 end-page: 500 ident: CR19 article-title: A numerical analysis of steel beams strengthened with composite materials publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-014-9435-x – volume: 131 start-page: 586 issue: 6 year: 2005 end-page: 597 ident: CR8 article-title: Lateral–torsional buckling of singly symmetric tapered beams: theory and applications publication-title: Journal of Engineering Mechanics doi: 10.1061/(ASCE)0733-9399(2005)131:6(586) – volume: 56 start-page: 39 issue: 1 year: 2020 end-page: 54 ident: CR31 article-title: Lateral-torsional stability analysis of a simply supported axially functionally graded beam with a tapered I-section publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-020-09859-5 – volume: 19 start-page: 1819 issue: 6 year: 2015 end-page: 1824 ident: CR37 article-title: Nonlinear dynamic analysis and natural frequencies of gabled frame having flexible restraints and connections publication-title: KSCE Journal of Civil Engineering doi: 10.1007/s12205-015-0285-4 – volume: 16 start-page: 1161 issue: 4 year: 2016 end-page: 1173 ident: CR34 article-title: Lateral-torsional buckling analysis of cantilever beam with tip lateral elastic brace under uniform and concentrated load publication-title: International Journal of Steel Structures doi: 10.1007/s13296-016-0052-5 – ident: CR35 – volume: 62 start-page: 96 year: 2013 end-page: 108 ident: CR13 article-title: Lateral-torsional buckling of tapered thin-walled beams with arbitrary cross sections publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2012.06.007 – volume: 85 start-page: 1343 issue: 17-18 year: 2007 end-page: 1359 ident: CR9 article-title: Lateral-torsional buckling of singly symmetric web-tapered thin-walled I-beams: 1D model vs. shell FEA publication-title: Computers & Structures doi: 10.1016/j.compstruc.2006.08.079 – volume: 39 start-page: 2939 issue: 11 year: 2002 end-page: 2963 ident: CR15 article-title: Lateral-torsional buckling of composite beams publication-title: International Journal of Solids and Structures doi: 10.1016/S0020-7683(02)00236-6 – volume: 159 year: 2021 ident: CR28 article-title: Semi-analytical vibrational analysis of functionally graded carbon nanotubes coupled conical-conical shells publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2020.107272 – volume: 19 start-page: 1 issue: 2 year: 2018 end-page: 23 ident: CR23 article-title: Stability analysis of frame having FG tapered beam–column publication-title: International Journal of Steel Structures – ident: CR27 – volume: 79 start-page: 987 issue: 10 year: 2001 end-page: 995 ident: CR3 article-title: Flexural–torsional buckling of thin-walled I-section composites publication-title: Computers & Structures doi: 10.1016/S0045-7949(00)00195-4 – volume: 18 start-page: 1557 issue: 6 year: 2015 end-page: 1568 ident: CR36 article-title: Pushover analysis of gabled frames with semi-rigid connections publication-title: Steel and Composite Structures doi: 10.12989/scs.2015.18.6.1557 – volume: 185 start-page: 348 year: 2018 end-page: 361 ident: CR18 article-title: Lateral torsional buckling of anisotropic laminated thin-walled simply supported beams subjected to mid-span concentrated load publication-title: Composite Structures doi: 10.1016/j.compstruct.2017.11.027 – volume: 4 start-page: 281 issue: 4 year: 2004 end-page: 301 ident: CR7 article-title: Lateral-torsional buckling of prismatic and tapered thin-walled open beams: assessing the influence of pre-buckling deflections publication-title: Steel and Composite Structures doi: 10.12989/scs.2004.4.4.281 – volume: 113 start-page: 121 year: 2016 end-page: 132 ident: CR16 article-title: Elastic critical moment of continuous composite beams with a sinusoidal-web steel profile for lateral-torsional buckling publication-title: Engineering Structures doi: 10.1016/j.engstruct.2016.01.021 – volume: 28 start-page: 403 issue: 4 year: 2018 end-page: 404 ident: CR29 article-title: Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing publication-title: Steel and Composite Structures – volume: 19 start-page: 446 issue: 2 year: 2019 end-page: 468 ident: CR25 article-title: Stability analysis of frame having FG tapered beam–column publication-title: International Journal of Steel Structures doi: 10.1007/s13296-018-0133-8 – volume: 3 start-page: 165 issue: 2 year: 2018 end-page: 190 ident: CR22 article-title: Static analysis of functionally graded non-prismatic sandwich beams publication-title: Advances in Computational Design – volume: 2 start-page: 91 issue: 2 year: 1992 end-page: 104 ident: CR2 article-title: Lateral-torsional buckling of thin-walled composite I-beams by the finite difference method publication-title: Composites Engineering doi: 10.1016/0961-9526(92)90048-B – ident: CR38 – volume: 7 start-page: 441 issue: 3 year: 2007 end-page: 456 ident: CR10 article-title: An analytical study on the lateral-torsional buckling of linearly tapered cantilever strip beams publication-title: International Journal of Structural Stability and Dynamics doi: 10.1142/S0219455407002368 – volume: 40 start-page: 1013 issue: 12 year: 2002 end-page: 1036 ident: CR5 article-title: Lateral post-buckling analysis of thin-walled open section beams publication-title: Thin-Walled Structures doi: 10.1016/S0263-8231(02)00043-5 – volume: 23 start-page: 217 issue: 2 year: 1986 end-page: 231 ident: CR1 article-title: Lateral buckling analysis of beams by the FEM publication-title: Computers & structures doi: 10.1016/0045-7949(86)90214-2 – volume: 41 start-page: 109 issue: 2 year: 2005 end-page: 118 ident: CR21 article-title: Effect of torsion and warping on the free vibration of sandwich beams publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-005-0038-4 – ident: CR32 – volume: 16 start-page: 636 issue: 5 year: 2019 end-page: 647 ident: CR24 article-title: Analyzing FG shells with large deformations and finite rotations publication-title: World Journal of Engineering doi: 10.1108/WJE-10-2018-0357 – volume: 88 start-page: 1179 issue: 21-22 year: 2010 end-page: 1196 ident: CR11 article-title: Elastic lateral-torsional buckling of restrained web-tapered I-beams publication-title: Computers & Structures doi: 10.1016/j.compstruc.2010.06.005 – volume: 45 start-page: 113 issue: 2 year: 2009 end-page: 136 ident: CR20 article-title: Exact analytical and numerical solutions of stability problems for a straight composite bar subjected to axial compression and torsion publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-009-9078-5 – volume: 119 start-page: 72 year: 2017 end-page: 82 ident: CR17 article-title: Lateral-torsional buckling analysis of wood composite I-beams with sinusoidal corrugated web publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2017.05.025 – volume: 24 start-page: 955 issue: 7 year: 2002 end-page: 964 ident: CR4 article-title: Lateral buckling of I-section composite beams publication-title: Engineering Structures doi: 10.1016/S0141-0296(02)00016-0 – volume: 28 start-page: 1035 year: 2020 ident: 10011_CR26 publication-title: Structures doi: 10.1016/j.istruc.2020.08.038 – volume: 119 start-page: 72 year: 2017 ident: 10011_CR17 publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2017.05.025 – volume: 16 start-page: 636 issue: 5 year: 2019 ident: 10011_CR24 publication-title: World Journal of Engineering doi: 10.1108/WJE-10-2018-0357 – volume: 159 year: 2021 ident: 10011_CR28 publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2020.107272 – volume: 28 start-page: 403 issue: 4 year: 2018 ident: 10011_CR29 publication-title: Steel and Composite Structures – volume: 113 start-page: 121 year: 2016 ident: 10011_CR16 publication-title: Engineering Structures doi: 10.1016/j.engstruct.2016.01.021 – ident: 10011_CR38 doi: 10.1680/jstbu.17.00187 – volume: 185 start-page: 348 year: 2018 ident: 10011_CR18 publication-title: Composite Structures doi: 10.1016/j.compstruct.2017.11.027 – volume: 99 start-page: 155 year: 2016 ident: 10011_CR33 publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2015.11.019 – volume: 2 start-page: 91 issue: 2 year: 1992 ident: 10011_CR2 publication-title: Composites Engineering doi: 10.1016/0961-9526(92)90048-B – volume: 85 start-page: 1343 issue: 17-18 year: 2007 ident: 10011_CR9 publication-title: Computers & Structures doi: 10.1016/j.compstruc.2006.08.079 – volume: 40 start-page: 1013 issue: 12 year: 2002 ident: 10011_CR5 publication-title: Thin-Walled Structures doi: 10.1016/S0263-8231(02)00043-5 – volume: 131 start-page: 586 issue: 6 year: 2005 ident: 10011_CR8 publication-title: Journal of Engineering Mechanics doi: 10.1061/(ASCE)0733-9399(2005)131:6(586) – volume: 88 start-page: 1179 issue: 21-22 year: 2010 ident: 10011_CR11 publication-title: Computers & Structures doi: 10.1016/j.compstruc.2010.06.005 – volume: 62 start-page: 96 year: 2013 ident: 10011_CR13 publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2012.06.007 – volume: 23 start-page: 217 issue: 2 year: 1986 ident: 10011_CR1 publication-title: Computers & structures doi: 10.1016/0045-7949(86)90214-2 – volume: 19 start-page: 1819 issue: 6 year: 2015 ident: 10011_CR37 publication-title: KSCE Journal of Civil Engineering doi: 10.1007/s12205-015-0285-4 – volume: 39 start-page: 2939 issue: 11 year: 2002 ident: 10011_CR15 publication-title: International Journal of Solids and Structures doi: 10.1016/S0020-7683(02)00236-6 – volume: 41 start-page: 109 issue: 2 year: 2005 ident: 10011_CR21 publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-005-0038-4 – volume: 7 start-page: 441 issue: 3 year: 2007 ident: 10011_CR10 publication-title: International Journal of Structural Stability and Dynamics doi: 10.1142/S0219455407002368 – volume: 19 start-page: 446 issue: 2 year: 2019 ident: 10011_CR25 publication-title: International Journal of Steel Structures doi: 10.1007/s13296-018-0133-8 – volume: 19 start-page: 1 issue: 2 year: 2018 ident: 10011_CR23 publication-title: International Journal of Steel Structures – volume: 24 start-page: 1787 issue: 9 year: 2018 ident: 10011_CR30 publication-title: Journal of Vibration and Control doi: 10.1177/1077546316668932 – volume: 16 start-page: 1161 issue: 4 year: 2016 ident: 10011_CR34 publication-title: International Journal of Steel Structures doi: 10.1007/s13296-016-0052-5 – volume: 4 start-page: 281 issue: 4 year: 2004 ident: 10011_CR7 publication-title: Steel and Composite Structures doi: 10.12989/scs.2004.4.4.281 – ident: 10011_CR27 doi: 10.1080/15376494.2020.1780524 – volume: 79 start-page: 987 issue: 10 year: 2001 ident: 10011_CR3 publication-title: Computers & Structures doi: 10.1016/S0045-7949(00)00195-4 – volume: 24 start-page: 955 issue: 7 year: 2002 ident: 10011_CR4 publication-title: Engineering Structures doi: 10.1016/S0141-0296(02)00016-0 – ident: 10011_CR14 doi: 10.1063/1.4756596 – volume: 45 start-page: 113 issue: 2 year: 2009 ident: 10011_CR20 publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-009-9078-5 – volume: 172 start-page: 789 issue: 11 year: 2019 ident: 10011_CR12 publication-title: Proceedings of the Institution of Civil Engineers-Structures and Buildings doi: 10.1680/jstbu.18.00062 – volume: 18 start-page: 1557 issue: 6 year: 2015 ident: 10011_CR36 publication-title: Steel and Composite Structures doi: 10.12989/scs.2015.18.6.1557 – volume: 129 start-page: 784 issue: 6 year: 2003 ident: 10011_CR6 publication-title: Journal of Structural Engineering doi: 10.1061/(ASCE)0733-9445(2003)129:6(784) – volume: 3 start-page: 165 issue: 2 year: 2018 ident: 10011_CR22 publication-title: Advances in Computational Design – volume: 56 start-page: 39 issue: 1 year: 2020 ident: 10011_CR31 publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-020-09859-5 – ident: 10011_CR35 – volume: 50 start-page: 491 issue: 4 year: 2014 ident: 10011_CR19 publication-title: Mech. Compos. Mater. doi: 10.1007/s11029-014-9435-x – ident: 10011_CR32 doi: 10.1142/9505 |
| SSID | ssj0010006 |
| Score | 2.2749915 |
| Snippet | Based on the Euler–Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially... Based on the Euler-Bernoulli beam theory, an analytical closed-form solution to the lateral-torsional buckling moment of a bidirectional exponentially... |
| SourceID | proquest gale crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 53 |
| SubjectTerms | Beam theory (structures) Buckling Ceramics Characterization and Evaluation of Materials Chemistry and Materials Science Classical Mechanics Composite materials Composites Euler-Bernoulli beams Exponential functions Functionally gradient materials Glass Material properties Materials Science Mathematical analysis Natural Materials Shear modulus Solid Mechanics |
| Title | Lateral-Torsional Buckling of a Bidirectional Exponentially Graded Thin-Walled C-Shaped Beam |
| URI | https://link.springer.com/article/10.1007/s11029-022-10011-8 https://www.proquest.com/docview/2645878285 |
| Volume | 58 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LSwMxEA5qL3oQn1gfZQ-CBw00u9ls9li1Klq9aKGCEJJsgkJtS62g_96ZfVjf4GmzJLsbZpLMZOebL4TsRpoxDXaHWmM45ToTNBVc02aSOpMYgyRziLa4Emddft6Le2VS2FOFdq9CkvlKPU12YwjVQPQ5y4FYcpbUYti7I5CrG7beYwe4AhdJ0oyCsxKXqTI_v-OTOfq6KH-LjuZG52SJLJbeYtAq1LtMZtxghSx84BBcJXcdjUnEfXozHBcMG0Eer4XKYOgDHRw-FGarqGu_jIYDRAjpfv81OB3rzGUBHt5J8Zc6lI_o9b0eQeHQ6cc10j1p3xyd0fLIBGpDKSdUSC7jphHN1Ook1cazxMdeGxv50DvvbWhkagUIgYWZ4y7U0sCmIQKv0MAdi9bJ3AC6sUECh2Ru0orMMcebmTCRd2lstPWcR86ldcIqySlb8onjsRZ9NWVCRmkrkLbKpa1kney_PzMq2DT-bL2HClE41eDNVpcZA9A_JK1SLZFikDTh0JftSmeqnINPCly9WCbI0FcnB5Uep9W_f3fzf823yHyIIyoHpm2Tucn42e2ApzIxDVJrHV92rvF6envRbuQD9Q2v9-AW |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LSwMxEA4-DupBfGJ97kHwoIFmN5vNHquoVasXW_AghCSboFDb0lbQf-_MPqxv8JYl2WyYSTKTnW--ELIfacY02B1qjeGU60zQVHBN60nqTGIMkswh2uJGNDv88i6-K5PCRhXavQpJ5jv1JNmNIVQD0ecsB2LJaTILzoDEudwJG--xA9yBiyRpRsFZictUmZ_7-GSOvm7K36KjudE5WyKLpbcYNAr1LpMp11shCx84BFfJfUtjEnGXtvvDgmEjyOO1UBn0faCD48fCbBV1py-Dfg8RQrrbfQ3OhzpzWYCXd1L8pQ7lE3r7oAdQOHb6aY10zk7bJ01aXplAbSjlmArJZVw3op5anaTaeJb42GtjIx96570NjUytACGwMHPchVoaODRE4BUaeGLROpnpwTA2SOCQzE1akTnmeD0TJvIujY22nvPIubRGWCU5ZUs-cbzWoqsmTMgobQXSVrm0layRw_d3BgWbxp-tD1AhCpca9Gx1mTEA40PSKtUQKQZJEw5j2a50pso1OFLg6sUyQYa-Gjmq9Dip_v27m_9rvkfmmu3rlmpd3FxtkfkQZ1cOUtsmM-Phs9sBr2VsdvNJ-gZapt_h |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3dS8MwEA86QfRB_MT52QfBBw0ubZqmj3M6PxFBBz4IIUkTFOY25gT9771rOzc_wbeUpGm4S3KX3v1-IWQn0oxpsDvUGsMp15mgqeCa1pLUmcQYJJnDbIsrcdri53fx3RiKP892H4YkC0wDsjR1Bge9zB-MgG8M0zYwE53lSVlykkxxRAPDjG6F9Y84Au7GBWCaUXBc4hI283Mfn0zT1w36W6Q0N0DNeTJXeo5BvVD1AplwnUUyO8YnuETuLzUCitv0ttsv2DaCPHYLlUHXBzo4fCxMWFF3_NrrdjBbSLfbb8FJX2cuC_AiT4q_16HcoDcPugeFQ6eflkmreXzbOKXl9QnUhlIOqJBcxjUjaqnVSaqNZ4mPvTY28qF33tvQyNQKEAILM8ddqKWBA0QEHqKBJxatkEoHhrFKAofEbtKKzDHHa5kwkXdpbLT1nEfOpVXChpJTtuQWxysu2mrEiozSViBtlUtbySrZ-3inVzBr_Nl6FxWicNlBz1aX6AEYHxJYqbpIMWCacBjLxlBnqlyPzwrcvlgmyNZXJftDPY6qf__u2v-ab5Pp66Omujy7ulgnMyFOrjxfbYNUBv0XtwkOzMBs5XP0HWST5BQ |
| 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=Lateral-Torsional+Buckling+of+a+Bidirectional+Exponentially+Graded+Thin-Walled+C-Shaped+Beam&rft.jtitle=Mechanics+of+composite+materials&rft.au=Rezaiee-Pajand%2C+M.&rft.au=Masoodi%2C+A.+R.&rft.au=Alepaighambar%2C+A.&rft.date=2022-03-01&rft.pub=Springer+US&rft.issn=0191-5665&rft.eissn=1573-8922&rft.volume=58&rft.issue=1&rft.spage=53&rft.epage=68&rft_id=info:doi/10.1007%2Fs11029-022-10011-8&rft.externalDocID=10_1007_s11029_022_10011_8 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0191-5665&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0191-5665&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0191-5665&client=summon |