{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T05:57:45Z","timestamp":1774504665750,"version":"3.50.1"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,1,2]],"date-time":"2020-01-02T00:00:00Z","timestamp":1577923200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,2]],"date-time":"2020-01-02T00:00:00Z","timestamp":1577923200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s00366-019-00901-2","type":"journal-article","created":{"date-parts":[[2020,1,2]],"date-time":"2020-01-02T17:03:32Z","timestamp":1577984612000},"page":"1549-1564","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":47,"title":["Postbuckling analysis of hydrostatic pressurized FGM microsized shells including strain gradient and stress-driven nonlocal effects"],"prefix":"10.1007","volume":"37","author":[{"given":"Xiaohui","family":"Yang","sequence":"first","affiliation":[]},{"given":"Saeid","family":"Sahmani","sequence":"additional","affiliation":[]},{"given":"Babak","family":"Safaei","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,1,2]]},"reference":[{"key":"901_CR1","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/j.ejpb.2015.07.021","volume":"96","author":"M Anwar","year":"2015","unstructured":"Anwar M, Ahmad I, Warsi MH, Mohapatra S, Ahmad N et al (2015) Experimental investigation and oral bioavailability enhancement of nano-sized curcumin by using supercritical anti-solvent process. Eur J Pharm Biopharm 96:162\u2013172","journal-title":"Eur J Pharm Biopharm"},{"key":"901_CR2","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/j.polymertesting.2016.10.025","volume":"56","author":"AS Blivi","year":"2016","unstructured":"Blivi AS, Benhui F, Bai J, Kondo D, Bedoui F (2016) Experimental evidence of size effect in nano-reinforced polymers: case of silica reinforced PMMA. Polym Test 56:337\u2013343","journal-title":"Polym Test"},{"key":"901_CR3","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1016\/j.applthermaleng.2016.09.024","volume":"110","author":"M Afrand","year":"2017","unstructured":"Afrand M (2017) Experimental study on thermal conductivity of ethylene glycol containing hybrid nano-additives and development of a new correlation. Appl Therm Eng 110:1111\u20131119","journal-title":"Appl Therm Eng"},{"key":"901_CR4","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/j.compstruct.2015.05.072","volume":"132","author":"ND Duc","year":"2015","unstructured":"Duc ND, Cong PH, Anh VM, Quang VD, Phuong T, Tuan ND, Thinh NH (2015) Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment. Compos Struct 132:597\u2013609","journal-title":"Compos Struct"},{"key":"901_CR5","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/j.ast.2017.05.032","volume":"68","author":"ND Duc","year":"2017","unstructured":"Duc ND, Jaechong L, Nguyen-Thoi T, Thang PT (2017) Static response and free vibration of functionally graded carbon nanotube-reinforced composite rectangular plates resting on Winkler-Pasternak elastic foundations. Aerosp Sci Technol 68:391\u2013402","journal-title":"Aerosp Sci Technol"},{"key":"901_CR6","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.ijmecsci.2017.08.012","volume":"133","author":"Z Qin","year":"2017","unstructured":"Qin Z, Chu F, Zu J (2017) Free vibrations of cylindrical shells with arbitrary boundary conditions: a comparison study. Int J Mech Sci 133:91\u201399","journal-title":"Int J Mech Sci"},{"key":"901_CR7","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.ijmecsci.2018.04.044","volume":"142","author":"Z Qin","year":"2018","unstructured":"Qin Z, Yang Z, Zu J, Chu F (2018) Free vibration analysis of rotating cylindrical shells coupled with moderately thick annular plates. Int J Mech Sci 142:127\u2013139","journal-title":"Int J Mech Sci"},{"key":"901_CR8","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1016\/j.compstruct.2019.04.046","volume":"220","author":"Z Qin","year":"2019","unstructured":"Qin Z, Pang X, Safaei B, Chu F (2019) Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions. Compos Struct 220:847\u2013860","journal-title":"Compos Struct"},{"key":"901_CR9","doi-asserted-by":"crossref","first-page":"107086","DOI":"10.1016\/j.compositesb.2019.107086","volume":"175","author":"PM Phuc","year":"2019","unstructured":"Phuc PM, Duc ND (2019) The effect of cracks on the stability of the functionally graded plates with variable-thickness using HSDT and phase-field theory. Compos B Eng 175:107086","journal-title":"Compos B Eng"},{"key":"901_CR10","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1080\/15376494.2017.1341583","volume":"26","author":"ND Khoa","year":"2019","unstructured":"Khoa ND, Thiem HT, Duc ND (2019) Nonlinear buckling and postbuckling of imperfect piezoelectric S-FGM circular cylindrical shells with metal-ceramic-metal layers in thermal environment using Reddy\u2019s third-order shear deformation shell theory. Mech Adv Mater Struct 26:248\u2013259","journal-title":"Mech Adv Mater Struct"},{"key":"901_CR11","doi-asserted-by":"crossref","first-page":"2365","DOI":"10.1007\/s12206-011-0711-6","volume":"25","author":"S Sahmani","year":"2011","unstructured":"Sahmani S, Ansari R (2011) Nonlocal beam models for buckling of nanobeams using state-space method regarding different boundary conditions. J Mech Sci Technol 25:2365","journal-title":"J Mech Sci Technol"},{"key":"901_CR12","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.ijmecsci.2014.02.013","volume":"81","author":"B Akgoz","year":"2014","unstructured":"Akgoz B, Civalek O (2014) A new trigonometric beam model for buckling of strain gradient microbeams. Int J Mech Sci 81:88\u201394","journal-title":"Int J Mech Sci"},{"key":"901_CR13","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.compstruct.2014.07.026","volume":"118","author":"S Sahmani","year":"2014","unstructured":"Sahmani S, Bahrami M, Aghdam MM, Ansari R (2014) Surface effects on the nonlinear forced vibration response of third-order shear deformable nanobeams. Compos Struct 118:149\u2013158","journal-title":"Compos Struct"},{"key":"901_CR14","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1016\/j.compstruct.2014.05.035","volume":"116","author":"S Sahmani","year":"2014","unstructured":"Sahmani S, Bahrami M, Ansari R (2014) Surface energy effects on the free vibration characteristics of postbuckled third-order shear deformable nanobeams. Compos Struct 116:552\u2013561","journal-title":"Compos Struct"},{"key":"901_CR15","doi-asserted-by":"crossref","first-page":"4307","DOI":"10.1016\/j.ijsolstr.2014.08.017","volume":"51","author":"Z Zhang","year":"2014","unstructured":"Zhang Z, Wang CM, Challamel N (2014) Eringen\u2019s length scale coefficient for buckling of nonlocal rectangular plates from microstructured beam-grid model. Int J Solids Struct 51:4307\u20134315","journal-title":"Int J Solids Struct"},{"key":"901_CR16","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.compositesb.2015.01.026","volume":"75","author":"A Jamalpoor","year":"2015","unstructured":"Jamalpoor A, Hosseini M (2015) Biaxial buckling analysis of double-orthotropic microplate-systems including in-plane magnetic field based on strain gradient theory. Compos B Eng 75:53\u201364","journal-title":"Compos B Eng"},{"key":"901_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijmecsci.2016.05.008","volume":"114","author":"MS Sari","year":"2016","unstructured":"Sari MS, Al-Kouz WG (2016) Vibration analysis of non-uniform orthotropic Kirchhoff plates resting on elastic foundation based on nonlocal elasticity theory. Int J Mech Sci 114:1\u201311","journal-title":"Int J Mech Sci"},{"key":"901_CR18","doi-asserted-by":"crossref","first-page":"4196","DOI":"10.15282\/ijame.14.2.2017.7.0336","volume":"14","author":"O Zargar","year":"2017","unstructured":"Zargar O, Masoumi A, Moghaddam AO (2017) Investigation and optimization for the dynamical behaviour of the vehicle structure. Int J Automot Mech Eng 14:4196\u20134210","journal-title":"Int J Automot Mech Eng"},{"key":"901_CR19","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1007\/s11012-016-0432-0","volume":"52","author":"M Mohammadsalehi","year":"2017","unstructured":"Mohammadsalehi M, Zargar O, Baghani M (2017) Study of non-uniform viscoelastic nanoplates vibration based on nonlocal first-order shear deformation theory. Meccanica 52:1063\u20131077","journal-title":"Meccanica"},{"key":"901_CR20","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1016\/j.acme.2017.01.004","volume":"17","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Imperfection sensitivity of the size-dependent postbuckling response of pressurized FGM nanoshells in thermal environments. Arch Civil Mech Eng 17:623\u2013638","journal-title":"Arch Civil Mech Eng"},{"key":"901_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/15397734.2015.1125298","volume":"45","author":"M Hashemi","year":"2017","unstructured":"Hashemi M, Asghari M (2017) On the size-dependent flexural vibration characteristics of unbalanced couple stress-based micro-spinning beams. Mech Des Struct Mach Int J 45:1\u201311","journal-title":"Mech Des Struct Mach Int J"},{"key":"901_CR22","first-page":"728","volume":"25","author":"B Shahriari","year":"2018","unstructured":"Shahriari B, Zargar O, Baghani M, Baniassadi M (2018) Free vibration analysis of rotating functionally graded annular disc of variable thickness using generalized differential quadrature method. Scientia Iranica 25:728\u2013740","journal-title":"Scientia Iranica"},{"key":"901_CR23","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1016\/j.compositesb.2018.07.046","volume":"153","author":"Y Zhang","year":"2018","unstructured":"Zhang Y, Li G, Liew KM (2018) Thermomechanical buckling characteristic of ultrathin films based on nonlocal elasticity theory. Compos B Eng 153:184\u2013193","journal-title":"Compos B Eng"},{"key":"901_CR24","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1080\/15397734.2019.1611447","volume":"47","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Fattahi AM, Ahmed NA (2019) Radial postbuckling of nanoscaled shells embedded in elastic foundations based on Ru\u2019s surface stress elasticity theory. Mech Des Struct Mach Int J 47:787\u2013806","journal-title":"Mech Des Struct Mach Int J"},{"key":"901_CR25","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1007\/s40997-018-0180-y","volume":"43","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Aghdam MM (2019) Nonlocal electrothermomechanical instability of temperature-dependent FGM nanopanels with piezoelectric facesheets. Iran J Sci Technol Trans Mech Eng 43:579\u2013593","journal-title":"Iran J Sci Technol Trans Mech Eng"},{"key":"901_CR26","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1007\/s40997-018-0193-6","volume":"43","author":"MH Jalali","year":"2019","unstructured":"Jalali MH, Zargar O, Baghani M (2019) Size-dependent vibration analysis of FG microbeams in thermal environment based on modified couple stress theory. Iran J Sci Technol Trans Mech Eng 43:761\u2013771","journal-title":"Iran J Sci Technol Trans Mech Eng"},{"key":"901_CR27","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1007\/s00366-018-0657-8","volume":"35","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Fattahi AM, Ahmed NA (2019) Analytical mathematical solution for vibrational response of postbuckled laminated FG-GPLRC nonlocal strain gradient micro-\/nanobeams. Eng Comput 35:1173\u20131189","journal-title":"Eng Comput"},{"key":"901_CR28","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.apm.2018.09.013","volume":"66","author":"A Sarafraz","year":"2019","unstructured":"Sarafraz A, Sahmani S, Aghdam MM (2019) Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects. Appl Math Model 66:195\u2013226","journal-title":"Appl Math Model"},{"key":"901_CR29","first-page":"105","volume":"165","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Fattahi AM, Ahmed NA (2019) Surface elastic shell model for nonlinear primary resonant dynamics of FG porous nanoshells incorporating modal interactions. Int J Mech Sci 165:105","journal-title":"Int J Mech Sci"},{"key":"901_CR30","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.compositesb.2016.04.075","volume":"97","author":"N Radi\u0107","year":"2016","unstructured":"Radi\u0107 N, Jeremi\u0107 D (2016) Thermal buckling of double-layered graphene sheets embedded in an elastic medium with various boundary conditions using a nonlocal new first-order shear deformation theory. Compos B Eng 97:201\u2013215","journal-title":"Compos B Eng"},{"key":"901_CR31","doi-asserted-by":"crossref","first-page":"7303","DOI":"10.1016\/j.apm.2016.03.014","volume":"40","author":"B Wang","year":"2016","unstructured":"Wang B, Huang S, Zhao J, Zhou S (2016) Reconsiderations on boundary conditions of Kirchhoff micro-plate model based on a strain gradient elasticity theory. Appl Math Model 40:7303\u20137317","journal-title":"Appl Math Model"},{"key":"901_CR32","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1080\/15397734.2016.1242079","volume":"45","author":"C Li","year":"2017","unstructured":"Li C (2017) Nonlocal thermo-electro-mechanical coupling vibrations of axially moving piezoelectric nanobeams. Mech Des Struct Mach Int J 45:463\u2013478","journal-title":"Mech Des Struct Mach Int J"},{"key":"901_CR33","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.compstruct.2017.01.051","volume":"166","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Size dependency in axial postbuckling behavior of hybrid FGM exponential shear deformable nanoshells based on the nonlocal elasticity theory. Compos Struct 166:104\u2013113","journal-title":"Compos Struct"},{"key":"901_CR34","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1016\/j.compositesb.2017.01.038","volume":"114","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Nonlinear instability of hydrostatic pressurized hybrid FGM exponential shear deformable nanoshells based on nonlocal continuum elasticity. Compos B Eng 114:404\u2013417","journal-title":"Compos B Eng"},{"key":"901_CR35","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.ijmecsci.2017.01.009","volume":"122","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Temperature-dependent nonlocal instability of hybrid FGM exponential shear deformable nanoshells including imperfection sensitivity. Int J Mech Sci 122:129\u2013142","journal-title":"Int J Mech Sci"},{"key":"901_CR36","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1016\/j.apm.2018.05.030","volume":"63","author":"E Ruocco","year":"2018","unstructured":"Ruocco E, Zhang H, Wang CM (2018) Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model. Appl Math Model 63:445\u2013463","journal-title":"Appl Math Model"},{"key":"901_CR37","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.1007\/s00542-017-3512-8","volume":"24","author":"S Sahmani","year":"2018","unstructured":"Sahmani S, Aghdam MM (2018) Thermo-electro-radial coupling nonlinear instability of piezoelectric shear deformable nanoshells via nonlocal elasticity theory. Microsyst Technol 24:1333\u20131346","journal-title":"Microsyst Technol"},{"key":"901_CR38","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1080\/15397734.2018.1557529","volume":"47","author":"S Dastjerdi","year":"2019","unstructured":"Dastjerdi S, Beni YT (2019) A novel approach for nonlinear bending response of macro- and nanoplates with irregular variable thickness under nonuniform loading in thermal environment. Mech Des Struct Mach Int J 47:453\u2013478","journal-title":"Mech Des Struct Mach Int J"},{"key":"901_CR39","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.compositesb.2018.11.071","volume":"166","author":"AI Aria","year":"2019","unstructured":"Aria AI, Friswell MI (2019) A nonlocal finite element model for buckling and vibration of functionally graded nanobeams. Compos B Eng 166:233\u2013246","journal-title":"Compos B Eng"},{"key":"901_CR40","doi-asserted-by":"crossref","first-page":"1780","DOI":"10.1016\/j.apm.2019.09.023","volume":"77","author":"H Li","year":"2020","unstructured":"Li H, Wang X, Wang H, Chen J (2020) The nonlocal frequency behavior of nanomechanical mass sensors based on the multi-directional vibrations of a buckled nanoribbon. Appl Math Model 77:1780\u20131796","journal-title":"Appl Math Model"},{"key":"901_CR41","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1016\/j.jmps.2015.02.001","volume":"78","author":"CW Lim","year":"2015","unstructured":"Lim CW, Zhang G, Reddy JN (2015) A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. J Mech Phys Solids 78:298\u2013313","journal-title":"J Mech Phys Solids"},{"key":"901_CR42","doi-asserted-by":"crossref","first-page":"3818","DOI":"10.1016\/j.physleta.2017.10.013","volume":"381","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Size-dependent nonlinear bending of micro\/nano-beams made of nanoporous biomaterials including a refined truncated cube cell. Phys Lett A 381:3818\u20133830","journal-title":"Phys Lett A"},{"key":"901_CR43","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.jbiomech.2017.09.033","volume":"65","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Nonlinear vibrations of pre-and post-buckled lipid supramolecular micro\/nano-tubules via nonlocal strain gradient elasticity theory. J Biomech 65:49\u201360","journal-title":"J Biomech"},{"key":"901_CR44","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.mbs.2017.11.002","volume":"295","author":"S Sahmani","year":"2018","unstructured":"Sahmani S, Aghdam MM (2018) Nonlocal strain gradient beam model for postbuckling and associated vibrational response of lipid supramolecular protein micro\/nano-tubules. Math Biosci 295:24\u201335","journal-title":"Math Biosci"},{"key":"901_CR45","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1016\/j.compositesb.2018.09.014","volume":"153","author":"N Radic","year":"2018","unstructured":"Radic N (2018) On buckling of porous double-layered FG nanoplates in the Pasternak elastic foundation based on nonlocal strain gradient elasticity. Compos B Eng 153:465\u2013479","journal-title":"Compos B Eng"},{"key":"901_CR46","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.tws.2019.03.045","volume":"140","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Safaei B (2019) Nonlinear free vibrations of bi-directional functionally graded micro\/nano-beams including nonlocal stress and microstructural strain gradient size effects. Thin Walled Struct 140:342\u2013356","journal-title":"Thin Walled Struct"},{"key":"901_CR47","doi-asserted-by":"crossref","first-page":"106226","DOI":"10.1016\/j.tws.2019.106226","volume":"143","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Safaei B (2019) Nonlocal strain gradient nonlinear resonance of bi-directional functionally graded composite micro\/nano-beams under periodic soft excitation. Thin Walled Struct 143:106226","journal-title":"Thin Walled Struct"},{"key":"901_CR48","doi-asserted-by":"crossref","first-page":"107164","DOI":"10.1016\/j.compositesb.2019.107164","volume":"175","author":"MH Jalali","year":"2019","unstructured":"Jalali MH, Thai H-T (2019) Dynamic stability of viscoelastic porous FG nanoplate under longitudinal magnetic field via a nonlocal strain gradient quasi-3D theory. Compos B Eng 175:107164","journal-title":"Compos B Eng"},{"key":"901_CR49","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/s40430-019-1732-9","volume":"41","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Fattahi AM, Ahmed NA (2019) Size-dependent nonlinear forced oscillation of self-assembled nanotubules based on the nonlocal strain gradient beam model. J Braz Soc Mech Sci Eng 41:239","journal-title":"J Braz Soc Mech Sci Eng"},{"key":"901_CR50","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1007\/s00707-018-2334-9","volume":"230","author":"S Sahmani","year":"2019","unstructured":"Sahmani S, Fotouhi M, Aghdam MM (2019) Size-dependent nonlinear secondary resonance of micro-\/nano-beams made of nano-porous biomaterials including truncated cube cells. Acta Mech 230:1077\u20131103","journal-title":"Acta Mech"},{"key":"901_CR51","doi-asserted-by":"publisher","DOI":"10.1080\/15397734.2019.1624176","author":"AM Fattahi","year":"2019","unstructured":"Fattahi AM, Sahmani S, Ahmed NA (2019) Nonlocal strain gradient beam model for nonlinear secondary resonance analysis of functionally graded porous micro\/nano-beams under periodic hard excitations. Mech Des Struct Mach Int J. https:\/\/doi.org\/10.1080\/15397734.2019.1624176","journal-title":"Mech Des Struct Mach Int J"},{"key":"901_CR52","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.physe.2018.08.022","volume":"105","author":"M Mohammadian","year":"2019","unstructured":"Mohammadian M, Hosseini SM, Abolbashari MH (2019) Lateral vibrations of embedded hetero-junction carbon nanotubes based on the nonlocal strain gradient theory: analytical and differential quadrature element (DQE) methods. Physica E 105:68\u201382","journal-title":"Physica E"},{"key":"901_CR53","doi-asserted-by":"crossref","first-page":"111036","DOI":"10.1016\/j.compstruct.2019.111036","volume":"225","author":"JP Shen","year":"2019","unstructured":"Shen JP, Wang PY, Li C, Wang YY (2019) New observations on transverse dynamics of microtubules based on nonlocal strain gradient theory. Compos Struct 225:111036","journal-title":"Compos Struct"},{"key":"901_CR54","doi-asserted-by":"crossref","first-page":"2496","DOI":"10.1016\/j.compstruct.2011.04.005","volume":"93","author":"H-S Shen","year":"2011","unstructured":"Shen H-S (2011) Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments. Part II: pressure-loaded shells. Compos Struct 93:2496\u20132503","journal-title":"Compos Struct"},{"key":"901_CR55","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1016\/j.euromechsol.2009.11.002","volume":"29","author":"H-S Shen","year":"2010","unstructured":"Shen H-S, Yang J, Kitipornchai S (2010) Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium. Eur J Mech Solids 29:448\u2013460","journal-title":"Eur J Mech Solids"},{"key":"901_CR56","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.ijengsci.2015.10.010","volume":"99","author":"S Sahmani","year":"2016","unstructured":"Sahmani S, Bahrami M, Aghdam MM (2016) Surface stress effects on the nonlinear postbuckling characteristics of geometrically imperfect cylindrical nanoshells subjected to axial compression. Int J Eng Sci 99:92\u2013106","journal-title":"Int J Eng Sci"},{"key":"901_CR57","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.ijmecsci.2016.01.014","volume":"107","author":"S Sahmani","year":"2016","unstructured":"Sahmani S, Aghdam MM, Bahrami M (2016) Size-dependent axial buckling and postbuckling characteristics of cylindrical nanoshells in different temperatures. Int J Mech Sci 107:170\u2013179","journal-title":"Int J Mech Sci"},{"key":"901_CR58","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1140\/epjp\/i2017-11773-4","volume":"132","author":"S Sahmani","year":"2017","unstructured":"Sahmani S, Aghdam MM (2017) Axial postbuckling analysis of multilayer functionally graded composite nanoplates reinforced with GPLs based on nonlocal strain gradient theory. Eur Phys J Plus 132:490","journal-title":"Eur Phys J Plus"},{"key":"901_CR59","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.compstruct.2006.01.012","volume":"79","author":"M Ganapathi","year":"2007","unstructured":"Ganapathi M (2007) Dynamic stability characteristics of functionally graded materials shallow spherical shells. Compos Struct 79:338\u2013343","journal-title":"Compos Struct"},{"key":"901_CR60","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/0961-9526(93)90082-U","volume":"3","author":"A Kasagi","year":"1993","unstructured":"Kasagi A, Sridharan S (1993) Buckling and postbuckling analysis of thick composite cylindrical shells under hydrostatic pressure. Compos Eng 3:467\u2013487","journal-title":"Compos Eng"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00901-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-019-00901-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00901-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,22]],"date-time":"2021-03-22T11:32:00Z","timestamp":1616412720000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-019-00901-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,2]]},"references-count":60,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["901"],"URL":"https:\/\/doi.org\/10.1007\/s00366-019-00901-2","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1,2]]},"assertion":[{"value":"26 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 December 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 January 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}