{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T19:11:40Z","timestamp":1776193900054,"version":"3.50.1"},"reference-count":73,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T00:00:00Z","timestamp":1566604800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T00:00:00Z","timestamp":1566604800000},"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":[[2021,1]]},"DOI":"10.1007\/s00366-019-00851-9","type":"journal-article","created":{"date-parts":[[2019,8,24]],"date-time":"2019-08-24T10:02:31Z","timestamp":1566640951000},"page":"713-730","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["A new numerical approach for low velocity impact response of multiscale-reinforced nanocomposite plates"],"prefix":"10.1007","volume":"37","author":[{"given":"M. Faraji","family":"Oskouie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. K.","family":"Hassanzadeh-Aghdam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Ansari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,8,24]]},"reference":[{"issue":"6348","key":"851_CR1","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1038\/354056a0","volume":"354","author":"S Iijima","year":"1991","unstructured":"Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354(6348):56","journal-title":"Nature"},{"key":"851_CR2","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.carbon.2013.08.042","volume":"66","author":"NJ Ginga","year":"2014","unstructured":"Ginga NJ, Chen W, Sitaraman SK (2014) Waviness reduces effective modulus of carbon nanotube forests by several orders of magnitude. Carbon 66:57\u201366","journal-title":"Carbon"},{"key":"851_CR3","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.compositesa.2016.12.027","volume":"95","author":"K Shirasu","year":"2017","unstructured":"Shirasu K, Nakamura A, Yamamoto G, Ogasawara T, Shimamura Y, Inoue Y, Hashida T (2017) Potential use of CNTs for production of zero thermal expansion coefficient composite materials: An experimental evaluation of axial thermal expansion coefficient of CNTs using a combination of thermal expansion and uniaxial tensile tests. Compos A Appl Sci Manuf 95:152\u2013160","journal-title":"Compos A Appl Sci Manuf"},{"key":"851_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-019-00773-6","author":"M Ghassabi","year":"2019","unstructured":"Ghassabi M, Zarastvand MR, Talebitooti R (2019) Investigation of state vector computational solution on modeling of wave propagation through functionally graded nanocomposite doubly curved thick structures. Eng Comput. https:\/\/doi.org\/10.1007\/s00366-019-00773-6","journal-title":"Eng Comput"},{"key":"851_CR5","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/j.compositesb.2018.12.093","volume":"168","author":"MK Hassanzadeh-Aghdam","year":"2019","unstructured":"Hassanzadeh-Aghdam MK, Mahmoodi MJ, Ansari R (2019) Creep performance of CNT polymer nanocomposites-An emphasis on viscoelastic interphase and CNT agglomeration. Compos B Eng 168:274\u2013281","journal-title":"Compos B Eng"},{"key":"851_CR6","doi-asserted-by":"crossref","first-page":"107137","DOI":"10.1016\/j.compositesb.2019.107137","volume":"175","author":"MK Hassanzadeh-Aghdam","year":"2019","unstructured":"Hassanzadeh-Aghdam MK, Mahmoodi MJ, Jamali J, Ansari R (2019) A new micromechanical method for the analysis of thermal conductivities of unidirectional fiber\/CNT-reinforced polymer hybrid nanocomposites. Compos B Eng 175:107137","journal-title":"Compos B Eng"},{"key":"851_CR7","first-page":"1","volume":"1","author":"MH Hajmohammad","year":"2018","unstructured":"Hajmohammad MH, Nouri AH, Zarei MS, Kolahchi R (2018) A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite facesheets in hygrothermal environment. Eng Comput 1:1\u201317","journal-title":"Eng Comput"},{"key":"851_CR8","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.physe.2017.05.009","volume":"93","author":"M Ahmadi","year":"2017","unstructured":"Ahmadi M, Ansari R, Rouhi H (2017) Multi-scale bending, buckling and vibration analyses of carbon fiber\/carbon nanotube-reinforced polymer nanocomposite plates with various shapes. Phys E 93:17\u201325","journal-title":"Phys E"},{"issue":"4","key":"851_CR9","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1080\/15376490600583931","volume":"13","author":"K Li","year":"2006","unstructured":"Li K, Gao XL, Roy AK (2006) Micromechanical modeling of viscoelastic properties of carbon nanotube-reinforced polymer composites. Mech Adv Mater Struct 13(4):317\u2013328","journal-title":"Mech Adv Mater Struct"},{"issue":"26","key":"851_CR10","doi-asserted-by":"crossref","first-page":"3842","DOI":"10.1063\/1.122911","volume":"73","author":"LS Schadler","year":"1998","unstructured":"Schadler LS, Giannaris SC, Ajayan PM (1998) Load transfer in carbon nanotube epoxy composites. Appl Phys Lett 73(26):3842\u20133844","journal-title":"Appl Phys Lett"},{"issue":"20","key":"851_CR11","doi-asserted-by":"crossref","first-page":"2868","DOI":"10.1063\/1.126500","volume":"76","author":"D Qian","year":"2000","unstructured":"Qian D, Dickey EC, Andrews R, Rantell T (2000) Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl Phys Lett 76(20):2868\u20132870","journal-title":"Appl Phys Lett"},{"issue":"2","key":"851_CR12","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1016\/j.compscitech.2009.11.024","volume":"70","author":"C Rong","year":"2010","unstructured":"Rong C, Ma G, Zhang S, Song L, Chen Z, Wang G, Ajayan PM (2010) Effect of carbon nanotubes on the mechanical properties and crystallization behavior of poly (ether ether ketone). Compos Sci Technol 70(2):380\u2013386","journal-title":"Compos Sci Technol"},{"issue":"9","key":"851_CR13","doi-asserted-by":"crossref","first-page":"4202","DOI":"10.1016\/j.matdes.2010.04.018","volume":"31","author":"A Montazeri","year":"2010","unstructured":"Montazeri A, Javadpour J, Khavandi A, Tcharkhtchi A, Mohajeri A (2010) Mechanical properties of multi-walled carbon nanotube\/epoxy composites. Mater Des 31(9):4202\u20134208","journal-title":"Mater Des"},{"key":"851_CR14","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/j.compositesa.2015.03.019","volume":"73","author":"A Watters","year":"2015","unstructured":"Watters A, Cuadra J, Kontsos A, Palmese G (2015) Processing-structure\u2013property relationships of SWNT\u2013epoxy composites prepared using ionic liquids. Compos A Appl Sci Manuf 73:269\u2013276","journal-title":"Compos A Appl Sci Manuf"},{"key":"851_CR15","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.ijmecsci.2016.06.005","volume":"115","author":"R Ansari","year":"2016","unstructured":"Ansari R, Hassanzadeh-Aghdam MK (2016) Micromechanical investigation of creep-recovery behavior of carbon nanotube-reinforced polymer nanocomposites. Int J Mech Sci 115:45\u201355","journal-title":"Int J Mech Sci"},{"issue":"1\u20132","key":"851_CR16","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s00707-007-0489-x","volume":"196","author":"J Zhang","year":"2008","unstructured":"Zhang J, He C (2008) A three-phase cylindrical shear-lag model for carbon nanotube composites. Acta Mech 196(1\u20132):33\u201354","journal-title":"Acta Mech"},{"key":"851_CR17","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.compscitech.2013.07.012","volume":"86","author":"JN Dastgerdi","year":"2013","unstructured":"Dastgerdi JN, Marquis G, Salimi M (2013) The effect of nanotubes waviness on mechanical properties of CNT\/SMP composites. Compos Sci Technol 86:164\u2013169","journal-title":"Compos Sci Technol"},{"issue":"10","key":"851_CR18","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1080\/15376494.2013.864434","volume":"22","author":"A Alva","year":"2015","unstructured":"Alva A, Bhagat A, Raja S (2015) Effective moduli evaluation of carbon nanotube reinforced polymers using micromechanics. Mech Adv Mater Struct 22(10):819\u2013828","journal-title":"Mech Adv Mater Struct"},{"issue":"6","key":"851_CR19","doi-asserted-by":"crossref","first-page":"2035","DOI":"10.1007\/s00707-014-1297-8","volume":"226","author":"SI Kundalwal","year":"2015","unstructured":"Kundalwal SI, Meguid SA (2015) Effect of carbon nanotube waviness on active damping of laminated hybrid composite shells. Acta Mech 226(6):2035\u20132052","journal-title":"Acta Mech"},{"issue":"7","key":"851_CR20","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.1007\/s11012-016-0512-1","volume":"52","author":"R Ansari","year":"2017","unstructured":"Ansari R, Hassanzadeh-Aghdam MK (2017) Micromechanical characterizing elastic, thermoelastic and viscoelastic properties of functionally graded carbon nanotube reinforced polymer nanocomposites. Meccanica 52(7):1625\u20131640","journal-title":"Meccanica"},{"key":"851_CR21","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.compositesa.2016.06.023","volume":"92","author":"OT Topac","year":"2017","unstructured":"Topac OT, Gozluklu B, Gurses E, Coker D (2017) Experimental and computational study of the damage process in CFRP composite beams under low-velocity impact. Compos A Appl Sci Manuf 92:167\u2013182","journal-title":"Compos A Appl Sci Manuf"},{"issue":"8","key":"851_CR22","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1080\/15376494.2012.667866","volume":"20","author":"J Bonhomme","year":"2013","unstructured":"Bonhomme J, Vi\u00f1a J, Arg\u00fcelles A, Vi\u00f1a I, Moll\u00f3n V (2013) Influence of the matrix toughness in carbon-epoxy composites subjected to delamination under modes I, II, and mixed I\/II. Mech Adv Mater Struct 20(8):679\u2013686","journal-title":"Mech Adv Mater Struct"},{"key":"851_CR23","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.compositesb.2012.10.034","volume":"47","author":"MH Malakooti","year":"2013","unstructured":"Malakooti MH, Sodano HA (2013) Multi-inclusion modeling of multiphase piezoelectric composites. Compos B Eng 47:181\u2013189","journal-title":"Compos B Eng"},{"key":"851_CR24","first-page":"1","volume":"1","author":"MK Hassanzadeh-Aghdam","year":"2018","unstructured":"Hassanzadeh-Aghdam MK, Ansari R (2018) Thermomechanical investigation of unidirectional carbon fiber-polymer hybrid composites containing CNTs. Int J Mech Mater Des 1:1\u201318","journal-title":"Int J Mech Mater Des"},{"key":"851_CR25","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.mechmat.2016.08.010","volume":"102","author":"D Beicha","year":"2016","unstructured":"Beicha D, Kanit T, Brunet Y, Imad A, El Moumen A, Khelfaoui Y (2016) Effective transverse elastic properties of unidirectional fiber reinforced composites. Mech Mater 102:47\u201353","journal-title":"Mech Mater"},{"issue":"1","key":"851_CR26","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1115\/1.321150","volume":"67","author":"YJ Liu","year":"2000","unstructured":"Liu YJ, Xu N, Luo JF (2000) Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method. J Appl Mech 67(1):41\u201349","journal-title":"J Appl Mech"},{"key":"851_CR27","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/j.matdes.2011.07.013","volume":"34","author":"S Aldajah","year":"2012","unstructured":"Aldajah S, Haik Y (2012) Transverse strength enhancement of carbon fiber reinforced polymer composites by means of magnetically aligned carbon nanotubes. Mater Des 34:379\u2013383","journal-title":"Mater Des"},{"key":"851_CR28","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.compositesa.2016.05.004","volume":"90","author":"Q Li","year":"2016","unstructured":"Li Q, Church JS, Naebe M, Fox BL (2016) A systematic investigation into a novel method for preparing carbon fibre\u2013carbon nanotube hybrid structures. Compos A Appl Sci Manuf 90:174\u2013185","journal-title":"Compos A Appl Sci Manuf"},{"key":"851_CR29","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.compositesa.2015.01.015","volume":"72","author":"Z Eslami","year":"2015","unstructured":"Eslami Z, Yazdani F, Mirzapour MA (2015) Thermal and mechanical properties of phenolic-based composites reinforced by carbon fibres and multiwall carbon nanotubes. Compos A Appl Sci Manuf 72:22\u201331","journal-title":"Compos A Appl Sci Manuf"},{"key":"851_CR30","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.matdes.2011.07.027","volume":"33","author":"F An","year":"2012","unstructured":"An F, Lu C, Li Y, Guo J, Lu X, Lu H, Yang Y (2012) Preparation and characterization of carbon nanotube-hybridized carbon fiber to reinforce epoxy composite. Mater Des 33:197\u2013202","journal-title":"Mater Des"},{"issue":"7","key":"851_CR31","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/j.compositesb.2010.07.002","volume":"41","author":"S Wang","year":"2010","unstructured":"Wang S, Qiu J (2010) Enhancing thermal conductivity of glass fiber\/polymer composites through carbon nanotubes incorporation. Compos B Eng 41(7):533\u2013536","journal-title":"Compos B Eng"},{"issue":"11","key":"851_CR32","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1080\/03602550903147346","volume":"48","author":"J Li","year":"2009","unstructured":"Li J, Zhang LQ (2009) The addition of carbon nanotube on the tensile properties of carbon fiber-reinforced PEEK composites. Polym Plast Technol Eng 48(11):1176\u20131179","journal-title":"Polym Plast Technol Eng"},{"key":"851_CR33","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.matdes.2015.09.105","volume":"89","author":"G Pal","year":"2016","unstructured":"Pal G, Kumar S (2016) Multiscale modeling of effective electrical conductivity of short carbon fiber-carbon nanotube-polymer matrix hybrid composites. Mater Des 89:129\u2013136","journal-title":"Mater Des"},{"issue":"9","key":"851_CR34","doi-asserted-by":"crossref","first-page":"093125","DOI":"10.1063\/1.2710778","volume":"90","author":"YA Kim","year":"2007","unstructured":"Kim YA, Kamio S, Tajiri T, Hayashi T, Song SM, Endo M, Dresselhaus MS (2007) Enhanced thermal conductivity of carbon fiber\/phenolic resin composites by the introduction of carbon nanotubes. Appl Phys Lett 90(9):093125","journal-title":"Appl Phys Lett"},{"issue":"5","key":"851_CR35","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/j.compositesb.2011.02.005","volume":"42","author":"MT Kim","year":"2011","unstructured":"Kim MT, Rhee KY, Lee JH, Hui D, Lau AK (2011) Property enhancement of a carbon fiber\/epoxy composite by using carbon nanotubes. Compos B Eng 42(5):1257\u20131261","journal-title":"Compos B Eng"},{"issue":"1","key":"851_CR36","doi-asserted-by":"crossref","first-page":"1613","DOI":"10.1016\/j.compositesb.2012.09.063","volume":"45","author":"M S\u00e1nchez","year":"2013","unstructured":"S\u00e1nchez M, Campo M, Jim\u00e9nez-Su\u00e1rez A, Ure\u00f1a A (2013) Effect of the carbon nanotube functionalization on flexural properties of multiscale carbon fiber\/epoxy composites manufactured by VARIM. Compos B Eng 45(1):1613\u20131619","journal-title":"Compos B Eng"},{"key":"851_CR37","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.matdes.2013.07.007","volume":"53","author":"MM Shokrieh","year":"2014","unstructured":"Shokrieh MM, Daneshvar A, Akbari S (2014) Reduction of thermal residual stresses of laminated polymer composites by addition of carbon nanotubes. Mater Des 53:209\u2013216","journal-title":"Mater Des"},{"key":"851_CR38","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.physe.2017.05.009","volume":"93","author":"M Ahmadi","year":"2017","unstructured":"Ahmadi M, Ansari R, Rouhi H (2017) Multi-scale bending, buckling and vibration analyses of carbon fiber\/carbon nanotube-reinforced polymer nanocomposite plates with various shapes. Physica E 93:17\u201325","journal-title":"Physica E"},{"key":"851_CR39","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.compstruct.2014.09.041","volume":"120","author":"KM Liew","year":"2015","unstructured":"Liew KM, Lei ZX, Zhang LW (2015) Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review. Compos Struct 120:90\u201397","journal-title":"Compos Struct"},{"key":"851_CR40","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.compositesb.2014.04.006","volume":"63","author":"NG Karsli","year":"2014","unstructured":"Karsli NG, Yesil S, Aytac A (2014) Effect of hybrid carbon nanotube\/short glass fiber reinforcement on the properties of polypropylene composites. Compos B Eng 63:154\u2013160","journal-title":"Compos B Eng"},{"key":"851_CR41","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/j.ast.2015.10.002","volume":"47","author":"X Ma","year":"2015","unstructured":"Ma X, Scarpa F, Peng HX, Allegri G, Yuan J, Ciobanu R (2015) Design of a hybrid carbon fibre\/carbon nanotube composite for enhanced lightning strike resistance. Aerosp Sci Technol 47:367\u2013377","journal-title":"Aerosp Sci Technol"},{"key":"851_CR42","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.compstruct.2012.07.035","volume":"96","author":"SMR Khalili","year":"2013","unstructured":"Khalili SMR, Malekzadeh K, Gorgabad AV (2013) Low velocity transverse impact response of functionally graded plates with temperature dependent properties. Compos Struct 96:64\u201374","journal-title":"Compos Struct"},{"issue":"9","key":"851_CR43","doi-asserted-by":"crossref","first-page":"3795","DOI":"10.1016\/j.matdes.2009.01.031","volume":"30","author":"A Setoodeh","year":"2009","unstructured":"Setoodeh A, Malekzadeh P, Nikbin K (2009) Low velocity impact analysis of laminated composite plates using a 3D elasticity based layerwise FEM. Mater Des 30(9):3795\u20133801","journal-title":"Mater Des"},{"issue":"3","key":"851_CR44","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1016\/j.compstruct.2009.06.002","volume":"91","author":"AP Christoforou","year":"2009","unstructured":"Christoforou AP, Yigit AS (2009) Scaling of low-velocity impact response in composite structures. Compos Struct 91(3):358\u2013365","journal-title":"Compos Struct"},{"key":"851_CR45","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/j.compstruct.2013.09.024","volume":"108","author":"Z Wang","year":"2014","unstructured":"Wang Z, Xu J, Qiao P (2014) Nonlinear low-velocity impact analysis of temperature dependent nanotube-reinforced composite plates. Compos Struct 108:423\u2013434","journal-title":"Compos Struct"},{"key":"851_CR46","doi-asserted-by":"crossref","first-page":"728","DOI":"10.1016\/j.compstruct.2016.01.045","volume":"140","author":"P Malekzadeh","year":"2016","unstructured":"Malekzadeh P, Dehbozorgi M (2016) Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates. Compos Struct 140:728\u2013748","journal-title":"Compos Struct"},{"key":"851_CR47","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.compstruct.2017.03.026","volume":"170","author":"BA Selim","year":"2017","unstructured":"Selim BA, Zhang LW, Liew KM (2017) Impact analysis of CNT-reinforced composite plates based on Reddy\u2019s higher-order shear deformation theory using an element-free approach. Compos Struct 170:228\u2013242","journal-title":"Compos Struct"},{"issue":"1","key":"851_CR48","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1007\/s10853-017-1538-z","volume":"53","author":"CH Yang","year":"2018","unstructured":"Yang CH, Ma WN, Ma DW (2018) Low-velocity impact analysis of carbon nanotube reinforced composite laminates. J Mater Sci 53(1):637\u2013656","journal-title":"J Mater Sci"},{"issue":"5","key":"851_CR49","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1137\/0729075","volume":"29","author":"I Babu\u0161ka","year":"1992","unstructured":"Babu\u0161ka I, Suri M (1992) On locking and robustness in the finite element method. SIAM J Num Anal 29(5):1261\u20131293","journal-title":"SIAM J Num Anal"},{"key":"851_CR50","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1016\/j.apm.2017.02.052","volume":"49","author":"MF Shojaei","year":"2017","unstructured":"Shojaei MF, Ansari R (2017) Variational differential quadrature: a technique to simplify numerical analysis of structures. Appl Math Model 49:705\u2013738","journal-title":"Appl Math Model"},{"key":"851_CR51","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1016\/j.ast.2019.05.043","volume":"91","author":"E Hasrati","year":"2019","unstructured":"Hasrati E, Ansari R, Rouhi H (2019) Elastoplastic postbuckling analysis of moderately thick rectangular plates using the variational differential quadrature method. Aerosp Sci Technol 91:479\u2013493","journal-title":"Aerosp Sci Technol"},{"key":"851_CR52","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.compositesa.2017.02.015","volume":"96","author":"MK Hassanzadeh-Aghdam","year":"2017","unstructured":"Hassanzadeh-Aghdam MK, Ansari R, Darvizeh A (2017) Micromechanical modeling of thermal expansion coefficients for unidirectional glass fiber-reinforced polyimide composites containing silica nanoparticles. Compos A 96:110\u2013121","journal-title":"Compos A"},{"key":"851_CR53","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.euromechsol.2012.03.006","volume":"36","author":"SI Kundalwal","year":"2012","unstructured":"Kundalwal SI, Ray MC (2012) Effective properties of a novel continuous fuzzy-fiber reinforced composite using the method of cells and the finite element method. Eur J Mech A Solids 36:191\u2013203","journal-title":"Eur J Mech A Solids"},{"key":"851_CR54","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/j.compositesb.2013.10.003","volume":"57","author":"SI Kundalwal","year":"2014","unstructured":"Kundalwal SI, Ray MC (2014) Effect of carbon nanotube waviness on the effective thermoelastic properties of a novel continuous fuzzy fiber reinforced composite. Compos B Eng 57:199\u2013209","journal-title":"Compos B Eng"},{"issue":"8","key":"851_CR55","doi-asserted-by":"crossref","first-page":"884","DOI":"10.1016\/j.mechmat.2005.06.029","volume":"38","author":"GD Seidel","year":"2006","unstructured":"Seidel GD, Lagoudas DC (2006) Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites. Mech Mater 38(8):884\u2013907","journal-title":"Mech Mater"},{"issue":"1","key":"851_CR56","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.compositesb.2009.06.003","volume":"41","author":"JL Tsai","year":"2010","unstructured":"Tsai JL, Tzeng SH, Chiu YT (2010) Characterizing elastic properties of carbon nanotubes\/polyimide nanocomposites using multi-scale simulation. Compos B Eng 41(1):106\u2013115","journal-title":"Compos B Eng"},{"key":"851_CR57","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/0167-6636(93)90078-6","volume":"15","author":"I Jasiuk","year":"1993","unstructured":"Jasiuk I, Kouider MW (1993) The effect of an inhomogeneous interphase on the elastic constants of transversely isotropic composites. Mech Mater 15:53\u201363","journal-title":"Mech Mater"},{"key":"851_CR58","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/S0266-3538(96)00133-9","volume":"57","author":"CS Chouchaoui","year":"1997","unstructured":"Chouchaoui CS, Benzeggagh ML (1997) The effect of interphase on the elastic behavior of a glass\/epoxy bundle. Compos Sci Technol 57:617\u2013622","journal-title":"Compos Sci Technol"},{"key":"851_CR59","doi-asserted-by":"crossref","first-page":"1716","DOI":"10.1016\/j.ijsolstr.2008.12.011","volume":"46","author":"S Boutaleb","year":"2009","unstructured":"Boutaleb S, Zairi F, Mesbah A, Nait-Abdelaziz M, Gloague JM, Boukharouba T, Lefebvre JM (2009) Micromechanics-based modelling of stiffness and yield stress for silica\/polymer nanocomposites. Int J Solids Struct 46:1716\u20131726","journal-title":"Int J Solids Struct"},{"key":"851_CR60","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.mechmat.2015.02.002","volume":"85","author":"Y Zare","year":"2015","unstructured":"Zare Y (2015) Effects of interphase on tensile strength of polymer\/CNT nanocomposites by Kelly\u2013Tyson theory. Mech Mater 85:1\u20136","journal-title":"Mech Mater"},{"issue":"7","key":"851_CR61","doi-asserted-by":"crossref","first-page":"1351","DOI":"10.1007\/s00707-013-0808-3","volume":"224","author":"K Yanase","year":"2013","unstructured":"Yanase K, Moriyama S, Ju JW (2013) Effects of CNT waviness on the effective elastic responses of CNT-reinforced polymer composites. Acta Mech 224(7):1351\u20131364","journal-title":"Acta Mech"},{"key":"851_CR62","doi-asserted-by":"crossref","DOI":"10.1002\/9780470117835","volume-title":"Fundamentals of micromechanics of solids","author":"J Qu","year":"2006","unstructured":"Qu J, Cherkaoui M (2006) Fundamentals of micromechanics of solids. Wiley, New Jersey"},{"key":"851_CR63","volume-title":"Impact engineering of composite structures","year":"2011","unstructured":"Abrate S (ed) (2011) Impact engineering of composite structures, vol 526. Springer, Berlin"},{"key":"851_CR64","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1016\/j.apm.2017.02.052","volume":"49","author":"MF Shojaei","year":"2017","unstructured":"Shojaei MF, Ansari R (2017) Variational differential quadrature: a technique to simplify numerical analysis of structures. Appl Math Model 49:705\u2013738","journal-title":"Appl Math Model"},{"key":"851_CR65","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.engstruct.2017.11.019","volume":"156","author":"R Gholami","year":"2018","unstructured":"Gholami R, Ansari R (2018) Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates. Eng Struct 156:197\u2013209","journal-title":"Eng Struct"},{"key":"851_CR66","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.compositesb.2016.10.050","volume":"109","author":"R Ansari","year":"2017","unstructured":"Ansari R, Torabi J, Shojaei MF (2017) Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading. Compos B Eng 109:197\u2013213","journal-title":"Compos B Eng"},{"issue":"4","key":"851_CR67","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1016\/j.carbon.2006.11.007","volume":"45","author":"K Honjo","year":"2007","unstructured":"Honjo K (2007) Thermal stresses and effective properties calculated for fiber composites using actual cylindrically-anisotropic properties of interfacial carbon coating. Carbon 45(4):865\u2013872","journal-title":"Carbon"},{"issue":"10","key":"851_CR68","doi-asserted-by":"crossref","first-page":"2002","DOI":"10.1016\/j.carbon.2006.01.026","volume":"44","author":"H Miyagawa","year":"2006","unstructured":"Miyagawa H, Mase T, Sato C, Drown E, Drzal LT, Ikegami K (2006) Comparison of experimental and theoretical transverse elastic modulus of carbon fibers. Carbon 44(10):2002\u20132008","journal-title":"Carbon"},{"key":"851_CR69","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.mechmat.2012.10.015","volume":"58","author":"Y Pan","year":"2013","unstructured":"Pan Y, Weng GJ, Meguid SA, Bao WS, Zhu ZH, Hamouda AMS (2013) Interface effects on the viscoelastic characteristics of carbon nanotube polymer matrix composites. Mech Mater 58:1\u201311","journal-title":"Mech Mater"},{"issue":"11","key":"851_CR70","doi-asserted-by":"crossref","first-page":"1689","DOI":"10.1016\/S0266-3538(03)00069-1","volume":"63","author":"FT Fisher","year":"2003","unstructured":"Fisher FT, Bradshaw RD, Brinson LC (2003) Fiber waviness in nanotube-reinforced polymer composites-I: modulus predictions using effective nanotube properties. Compos Sci Technol 63(11):1689\u20131703","journal-title":"Compos Sci Technol"},{"key":"851_CR71","doi-asserted-by":"crossref","first-page":"2","DOI":"10.14741\/ijcet\/v.8.2.7","volume":"8","author":"L Tian","year":"2018","unstructured":"Tian L, Li L (2018) A review on the strengthening of nanostructured materials. Int J Curr Eng Technol 8:2","journal-title":"Int J Curr Eng Technol"},{"key":"851_CR72","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1016\/j.jallcom.2018.02.100","volume":"744","author":"MK Hassanzadeh-Aghdam","year":"2018","unstructured":"Hassanzadeh-Aghdam MK, Ansari R, Mahmoodi MJ (2018) Thermal expanding behavior of carbon nanotube-reinforced metal matrix nanocomposites\u2014a micromechanical modeling. J Alloy Compd 744:637\u2013650","journal-title":"J Alloy Compd"},{"key":"851_CR73","doi-asserted-by":"crossref","first-page":"106972","DOI":"10.1016\/j.compositesb.2019.106972","volume":"1","author":"MK Hassanzadeh-Aghdam","year":"2019","unstructured":"Hassanzadeh-Aghdam MK, Mahmoodi MJ, Safi M (2019) Effect of adding carbon nanotubes on the thermal conductivity of steel fiber-reinforced concrete. Compos Part B Eng 1:106972","journal-title":"Compos Part B Eng"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00851-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-019-00851-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-019-00851-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T10:35:17Z","timestamp":1611225317000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-019-00851-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,24]]},"references-count":73,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["851"],"URL":"https:\/\/doi.org\/10.1007\/s00366-019-00851-9","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,24]]},"assertion":[{"value":"23 May 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 August 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The author(s) declared no potential conflicts of interest with respect to the research, authorship, and\/or publication of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}